Exploring the Near-Optimal Feasible Space¶

Here, we use modelling to generate alternatives (MGA) to explore the near-opimal feasible space of a simple one-node model in the style of model.energy (the same as in the previous MGA example).

While we explored the use of n.optimize.optimize_mga() in the previous example, PyPSA includes a few additional functions making it convenient to work with near-optimal spaces in a geometric way. While the optimize_mga function solves a network with an alternative objective function (given by the weights argument), n.optimize_mga_in_direction is a simple alternative useful for exploring trade-offs between multiple alternative objectives. It takes two key arguments: a dictionary of dimensions, specifying multiple alternative objectives in the same format as the previously mentioned weights, and a direction representing a vector in the coordinate space defined by dimensions.

In this example, we explore the trade-offs between wind and solar expansion in a simple renewables-based system. Therefore, we define our dimensions (or alternative objectives) as total installed wind capacity and total installed solar capacity in MW, respectively. These dimensions can also be seen as defining a projection of near-optimal space of the model down to two dimensions.

:::{note} See also this research article for a background on dimension reduction and approximation of near-optimal spaces. :::

In [2]:

import matplotlib.pyplot as plt
from matplotlib.collections import LineCollection
from scipy.spatial import ConvexHull, convex_hull_plot_2d

import pypsa

import matplotlib.pyplot as plt from matplotlib.collections import LineCollection from scipy.spatial import ConvexHull, convex_hull_plot_2d import pypsa

Before any near-optimal analysis can start, the model has to be solved to optimality first. This is in order to find the minimum system cost, which is later used to define a system cost bound for near-optimality (i.e. "slack", usually in percentage of minimum system cost).

In [3]:

n = pypsa.examples.model_energy()
n.snapshots = n.snapshots[::3]  # Crude reduction of time resolution for speed
n.generators.at["load shedding", "marginal_cost"] = 20000
n.optimize(solver_name="gurobi")

n = pypsa.examples.model_energy() n.snapshots = n.snapshots[::3] # Crude reduction of time resolution for speed n.generators.at["load shedding", "marginal_cost"] = 20000 n.optimize(solver_name="gurobi")

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

INFO:pypsa.network.io:Imported network 'Model-Energy' has buses, carriers, generators, links, loads, storage_units, stores

/tmp/ipykernel_3758/2365194803.py:4: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  n.optimize(solver_name="gurobi")

INFO:linopy.model: Solve problem using Gurobi solver

INFO:linopy.model:Solver options:
 - log_to_console: False

INFO:linopy.io: Writing time: 0.11s

Set parameter WLSAccessID

Set parameter WLSSecret

Set parameter LicenseID to value 2537914

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de

Read LP format model from file /tmp/linopy-problem-s8bpk6co.lp

Reading time = 0.02 seconds

obj: 21434 rows, 9746 columns, 41420 nonzeros

Set parameter LogToConsole to value 0

INFO:linopy.constants: Optimization successful: 
Status: ok
Termination condition: optimal
Solution: 9746 primals, 21434 duals
Objective: 6.90e+09
Solver: gurobi
Runtime: 0.77s
Dual bound: 6.90e+09
Solver model: available
Solver message: 2

INFO:pypsa.optimization.optimize:The shadow-prices of the constraints Generator-fix-p-lower, Generator-fix-p-upper, Generator-ext-p-lower, Generator-ext-p-upper, Link-ext-p-lower, Link-ext-p-upper, Store-ext-e-lower, Store-ext-e-upper, StorageUnit-ext-p_dispatch-lower, StorageUnit-ext-p_dispatch-upper, StorageUnit-ext-p_store-lower, StorageUnit-ext-p_store-upper, StorageUnit-ext-state_of_charge-lower, StorageUnit-ext-state_of_charge-upper, StorageUnit-energy_balance, Store-energy_balance were not assigned to the network.

Out[3]:

('ok', 'optimal')

Individual dimensions are specified just like the weights argument for the n.optimize.optimize_mga function: a nested dictionary of components, variables and finally a series or dictionary giving weights to individual components.

Here, we define two dimensions, and give them the user-defined names "wind" and "solar" (the keys in the outer dictionary). These names are arbitrary and don't have to match names of underlaying components.

In [4]:

dimensions = {
    "wind": {"Generator": {"p_nom": {"wind": 1}}},
    "solar": {"Generator": {"p_nom": {"solar": 1}}},
}

dimensions = { "wind": {"Generator": {"p_nom": {"wind": 1}}}, "solar": {"Generator": {"p_nom": {"solar": 1}}}, }

Suppose we are interested in minimizing wind capacity alone, and also interested in minimizing the total capacity of wind and solar. These correspond to the directions (-1, 0) and (-1, -1) in wind-solar coordinate space, respectively. Let's see what is possible within a 5% total system cost slack.

In [5]:

_, _, min_wind = n.optimize.optimize_mga_in_direction(
    dimensions=dimensions,
    direction={
        "wind": -1,
        "solar": 0,
    },  # Use coordinate names matching those given in `dimensions`
    slack=0.05,
)
_, _, min_wind_solar = n.optimize.optimize_mga_in_direction(
    dimensions=dimensions,
    direction={"wind": -1, "solar": -1},
    slack=0.05,
)

display(min_wind)
display(min_wind_solar)

_, _, min_wind = n.optimize.optimize_mga_in_direction( dimensions=dimensions, direction={ "wind": -1, "solar": 0, }, # Use coordinate names matching those given in `dimensions` slack=0.05, ) _, _, min_wind_solar = n.optimize.optimize_mga_in_direction( dimensions=dimensions, direction={"wind": -1, "solar": -1}, slack=0.05, ) display(min_wind) display(min_wind_solar)

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

INFO:linopy.model: Solve problem using Gurobi solver

INFO:linopy.model:Solver options:
 - log_to_console: False

INFO:linopy.io: Writing time: 0.11s

Set parameter WLSAccessID

Set parameter WLSSecret

Set parameter LicenseID to value 2537914

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de

Read LP format model from file /tmp/linopy-problem-sbs4azkj.lp

Reading time = 0.02 seconds

obj: 21435 rows, 9746 columns, 42400 nonzeros

Set parameter LogToConsole to value 0

INFO:linopy.constants: Optimization successful: 
Status: ok
Termination condition: optimal
Solution: 9746 primals, 21435 duals
Objective: 1.70e+04
Solver: gurobi
Runtime: 0.19s
Dual bound: 1.70e+04
Solver model: available
Solver message: 2

INFO:pypsa.optimization.optimize:The shadow-prices of the constraints Generator-fix-p-lower, Generator-fix-p-upper, Generator-ext-p-lower, Generator-ext-p-upper, Link-ext-p-lower, Link-ext-p-upper, Store-ext-e-lower, Store-ext-e-upper, StorageUnit-ext-p_dispatch-lower, StorageUnit-ext-p_dispatch-upper, StorageUnit-ext-p_store-lower, StorageUnit-ext-p_store-upper, StorageUnit-ext-state_of_charge-lower, StorageUnit-ext-state_of_charge-upper, StorageUnit-energy_balance, Store-energy_balance, budget were not assigned to the network.

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

INFO:linopy.model: Solve problem using Gurobi solver

INFO:linopy.model:Solver options:
 - log_to_console: False

INFO:linopy.io: Writing time: 0.11s

Set parameter WLSAccessID

Set parameter WLSSecret

Set parameter LicenseID to value 2537914

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de

Read LP format model from file /tmp/linopy-problem-n9vrs14i.lp

Reading time = 0.02 seconds

obj: 21435 rows, 9746 columns, 42400 nonzeros

Set parameter LogToConsole to value 0

INFO:linopy.constants: Optimization successful: 
Status: ok
Termination condition: optimal
Solution: 9746 primals, 21435 duals
Objective: 4.75e+04
Solver: gurobi
Runtime: 0.23s
Dual bound: 4.75e+04
Solver model: available
Solver message: 2

INFO:pypsa.optimization.optimize:The shadow-prices of the constraints Generator-fix-p-lower, Generator-fix-p-upper, Generator-ext-p-lower, Generator-ext-p-upper, Link-ext-p-lower, Link-ext-p-upper, Store-ext-e-lower, Store-ext-e-upper, StorageUnit-ext-p_dispatch-lower, StorageUnit-ext-p_dispatch-upper, StorageUnit-ext-p_store-lower, StorageUnit-ext-p_store-upper, StorageUnit-ext-state_of_charge-lower, StorageUnit-ext-state_of_charge-upper, StorageUnit-energy_balance, Store-energy_balance, budget were not assigned to the network.

wind     17006.298742
solar    44921.817858
dtype: float64

wind     29563.944662
solar    17925.539753
dtype: float64

Results are returned as dictionaries represting coordinates in the wind-solar space. The dictionaries use the same user-given coordinate names that we passed in the dimensions argument. We see that minimizing wind alone leads to a large installation of solar, while minimizing both jointly leads to a more balanced solution.

In order to get a full picture of the near-optimal space (projected to the wind and solar dimensions), it is useful to optimize in many directions and consider the convex hull of the resulting points.

Of course, you can use optimize_mga_in_direction manually to do this. For convenience, PyPSA also provides the optimize_mga_in_multiple_directions function. This function takes a list of directions (or a pandas DataFrame with rows for directions), and uses built-in Python multiprocessing functionality to optimize in these directions in parallel. In the event of any individual optimisations failing, only the successful ones are returned.

While the user is free to select directions themselves, PyPSA also includes some simple functions (for instance, pypsa.optimization.mga.generate_directions_randomber of random directions in the format expected by optimize_mga_in_multiple_directions`.

In [6]:

directions = pypsa.optimization.mga.generate_directions_random(
    dimensions.keys(), 10, seed=0
)
dirs, pts = n.optimize.optimize_mga_in_multiple_directions(
    dimensions=dimensions,
    directions=directions,
    slack=0.05,
    solver_name="gurobi",
    # Solve in up to 8 directions in parallel.
    max_parallel=8,
)

directions = pypsa.optimization.mga.generate_directions_random( dimensions.keys(), 10, seed=0 ) dirs, pts = n.optimize.optimize_mga_in_multiple_directions( dimensions=dimensions, directions=directions, slack=0.05, solver_name="gurobi", # Solve in up to 8 directions in parallel. max_parallel=8, )

INFO:pypsa.network.io:Exported network 'Model-Energy' saved to '/tmp/tmpcidyups8.nc contains: buses, stores, loads, generators, links, carriers, sub_networks, storage_units

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)
/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)
/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)
/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)
/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(
/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(
/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Read LP format model from file /tmp/linopy-problem-as0x4zjw.lp
Reading time = 0.17 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x210e5807
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [2e-01, 1e+00]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Read LP format model from file /tmp/linopy-problem-qgg896a7.lp
Reading time = 0.09 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0xa8fdf525
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [2e-01, 1e+00]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.08s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.02s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.09s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...


                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -4.87789142e+04 -2.03647123e+07  7.39e+08 2.13e-01  4.00e+05     0s
Ordering time: 0.03s
   1  -7.57897577e+05 -1.90348559e+07  1.12e+08 4.26e-01  2.09e+05     0s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
   2  -6.56311510e+05 -6.82787650e+06  6.30e+07 8.00e-03  3.54e+04     0s

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -4.79166792e+04 -2.06285536e+07  7.39e+08 2.16e-01  4.05e+05     0s

   1  -7.53813806e+05 -1.92701132e+07  1.12e+08 4.31e-01  2.11e+05     0s
   3  -5.78196487e+04 -2.98822222e+06  2.35e+06 3.58e-04  1.92e+03     0s
   2  -6.51340768e+05 -6.89668689e+06  6.29e+07 8.07e-03  3.57e+04     0s
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
   4  -4.57361688e+04 -1.05504568e+06  5.18e+05 7.11e-07  4.04e+02     0s
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
   3  -5.73276150e+04 -3.02034185e+06  2.40e+06 3.64e-04  1.97e+03     0s
   5  -4.56036841e+04 -5.14081188e+05  1.79e+05 9.69e-16  1.44e+02     0s
   6  -4.78778263e+04 -1.96373732e+05  1.06e+05 8.38e-16  4.42e+01     0s
   4  -4.48505834e+04 -1.07502187e+06  5.23e+05 1.16e-06  4.13e+02     0s
   7  -5.22136298e+04 -1.50916290e+05  6.86e+04 3.76e-16  2.79e+01     0s
   8  -5.73920847e+04 -1.19414543e+05  2.43e+04 3.04e-16  1.61e+01     0s
   5  -4.47191059e+04 -5.18911584e+05  1.77e+05 1.15e-15  1.46e+02     0s
Read LP format model from file /tmp/linopy-problem-mxb34zy6.lp
Reading time = 0.10 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x984a0fd3
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [4e-01, 9e-01]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

   9  -6.08814006e+04 -1.06249412e+05  1.94e+04 2.56e-16  1.18e+01     0s
Read LP format model from file /tmp/linopy-problem-kcvnvgub.lp
Reading time = 0.12 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0xabd5be11
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [5e-01, 9e-01]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

  10  -6.29629212e+04 -1.04664423e+05  1.61e+04 2.42e-16  1.08e+01     0s
   6  -4.70401487e+04 -1.98157582e+05  1.08e+05 4.44e-16  4.51e+01     0s

  11  -6.57727061e+04 -9.80544693e+04  1.21e+04 2.30e-16  8.31e+00     0s
   7  -5.15559669e+04 -1.51095578e+05  6.98e+04 2.61e-16  2.82e+01     0s
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.05s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

  12  -6.77330880e+04 -8.67887607e+04  8.32e+03 1.58e-16  4.95e+00     1s
   8  -5.71044661e+04 -1.20042612e+05  2.39e+04 2.38e-16  1.64e+01     0s
  13  -6.91768021e+04 -8.16871485e+04  5.82e+03 1.36e-16  3.26e+00     1s
Ordering time: 0.01s

  14  -7.11465344e+04 -7.40056997e+04  1.77e+03 1.79e-16  7.60e-01     1s
   9  -6.05254026e+04 -1.07502798e+05  1.91e+04 2.33e-16  1.22e+01     0s
Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.10s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

  15  -7.19554958e+04 -7.36299634e+04  5.47e+02 1.29e-16  4.25e-01     1s
  10  -6.26899693e+04 -1.05793804e+05  1.59e+04 2.05e-16  1.11e+01     1s
  16  -7.21304332e+04 -7.26442313e+04  2.63e+02 5.40e-09  1.34e-01     1s

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -2.94984273e+04 -1.85858639e+07  7.39e+08 9.73e-02  1.83e+05     0s
  17  -7.22381031e+04 -7.24379893e+04  8.81e+01 5.72e-09  5.13e-02     1s
  18  -7.22932074e+04 -7.22990170e+04  7.78e-08 3.78e-09  1.22e-03     1s
  11  -6.60632456e+04 -9.87213920e+04  1.13e+04 1.97e-16  8.38e+00     1s
Ordering time: 0.02s
  19  -7.22950964e+04 -7.22951014e+04  3.73e-09 7.69e-12  1.22e-06     1s
   1  -5.73482597e+05 -1.72466694e+07  1.12e+08 1.91e-01  9.39e+04     0s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
  20  -7.22950983e+04 -7.22950983e+04  5.63e-08 1.08e-13  1.22e-09     1s

Barrier solved model in 20 iterations and 0.62 seconds (0.13 work units)
Optimal objective -7.22950983e+04

Crossover log...

  12  -6.71884347e+04 -9.11707308e+04  8.91e+03 1.80e-16  6.17e+00     1s

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -3.84277753e+04 -1.01893163e+07  7.39e+08 5.34e-02  1.00e+05     0s
   2  -4.64443217e+05 -6.07041553e+06  6.25e+07 3.45e-03  1.55e+04     0s
      70 DPushes remaining with DInf 0.0000000e+00                 1s
  13  -6.96388227e+04 -8.61335392e+04  4.19e+03 1.30e-16  4.16e+00     1s
   1  -5.88627026e+05 -8.63304171e+06  1.06e+08 1.01e-01  4.70e+04     0s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    2088 PPushes remaining with PInf 0.0000000e+00                 1s
   3  -3.57144739e+04 -2.66031216e+06  2.40e+06 1.83e-04  8.67e+02     0s
   2  -3.02640008e+05 -2.65460064e+06  5.39e+07 1.00e-03  5.76e+03     0s
  14  -7.08992414e+04 -7.60687922e+04  1.64e+03 1.37e-16  1.31e+00     1s

   4  -2.59939979e+04 -8.12111708e+05  4.64e+05 2.15e-06  1.54e+02     0s
  15  -7.16372468e+04 -7.50180090e+04  5.69e+02 8.70e-17  8.38e-01     1s
       0 PPushes remaining with PInf 0.0000000e+00                 1s
   3  -3.93470599e+04 -1.21615079e+06  1.69e+06 3.37e-05  3.05e+02     0s

  Push phase complete: Pinf 0.0000000e+00, Dinf 3.4416914e-15      1s

Crossover time: 0.11 seconds (0.07 work units)

Solved with barrier
  16  -7.17831957e+04 -7.34965046e+04  3.81e+02 1.06e-16  4.28e-01     1s
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    2159   -7.2295098e+04   0.000000e+00   0.000000e+00      1s

Solved in 2159 iterations and 0.75 seconds (0.21 work units)
Optimal objective -7.229509830e+04
   5  -2.71093423e+04 -3.97598438e+05  1.37e+05 4.88e-16  5.47e+01     0s
   4  -3.67919431e+04 -3.79883814e+05  4.14e+05 3.25e-16  6.35e+01     0s
  17  -7.20070778e+04 -7.23634418e+04  7.92e+01 2.94e-09  8.89e-02     1s
   6  -2.93245813e+04 -1.65281310e+05  9.65e+04 3.36e-16  2.03e+01     0s
  18  -7.20713109e+04 -7.20878372e+04  3.56e+00 2.43e-09  4.34e-03     1s
   5  -3.79544560e+04 -1.90968025e+05  1.60e+05 1.57e-16  2.29e+01     0s
   7  -3.39216651e+04 -1.20926912e+05  6.72e+04 2.67e-16  1.25e+01     0s
  19  -7.20770917e+04 -7.20771089e+04  1.52e-07 2.35e-10  1.37e-05     1s
   6  -3.92330041e+04 -1.05644029e+05  8.95e+04 9.38e-17  9.31e+00     0s
  20  -7.20771072e+04 -7.20771072e+04  1.07e-08 3.53e-13  3.79e-09     1s

Barrier solved model in 20 iterations and 0.77 seconds (0.13 work units)
Optimal objective -7.20771072e+04

   8  -4.07731019e+04 -1.01290258e+05  2.43e+04 2.06e-16  7.94e+00     0s
Crossover log...

   7  -4.09823772e+04 -9.14206769e+04  6.65e+04 5.95e-17  6.90e+00     0s
   9  -4.18577361e+04 -9.77091628e+04  2.20e+04 1.86e-16  7.30e+00     0s
   8  -4.21117876e+04 -8.43978774e+04  5.47e+04 4.76e-17  5.71e+00     0s
      71 DPushes remaining with DInf 0.0000000e+00                 1s
   9  -4.45134950e+04 -7.97152874e+04  3.84e+04 5.92e-17  4.65e+00     0s
  10  -4.50614303e+04 -8.71416982e+04  1.73e+04 1.65e-16  5.49e+00     0s
       0 DPushes remaining with DInf 0.0000000e+00                 1s
  10  -4.55308380e+04 -7.73766316e+04  3.41e+04 4.51e-17  4.19e+00     0s

    2070 PPushes remaining with PInf 0.0000000e+00                 1s

  11  -4.61409130e+04 -7.13614930e+04  2.73e+04 3.16e-17  3.30e+00     0s
  11  -4.66949654e+04 -8.24800609e+04  1.53e+04 1.40e-16  4.67e+00     0s
  12  -4.80059206e+04 -6.62457463e+04  1.97e+04 2.48e-17  2.38e+00     0s
  12  -4.78450469e+04 -8.09551082e+04  1.33e+04 1.33e-16  4.30e+00     1s
  13  -4.91132693e+04 -6.11491298e+04  1.12e+04 2.16e-17  1.55e+00     1s
  14  -5.01191061e+04 -5.74747919e+04  7.52e+03 1.65e-17  9.50e-01     1s
  13  -5.00396400e+04 -6.88512330e+04  9.67e+03 9.71e-17  2.48e+00     1s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 8.1532003e-15      1s

Crossover time: 0.18 seconds (0.07 work units)

Solved with barrier
  15  -5.08748252e+04 -5.55699360e+04  4.79e+03 1.66e-17  6.06e-01     1s
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    2144   -7.2077107e+04   0.000000e+00   0.000000e+00      1s

Solved in 2144 iterations and 0.97 seconds (0.21 work units)
Optimal objective -7.207710721e+04
  14  -5.24707389e+04 -6.32159332e+04  4.34e+03 8.28e-17  1.39e+00     1s
  16  -5.09158146e+04 -5.53164000e+04  4.64e+03 2.06e-17  5.69e-01     1s
  17  -5.11701864e+04 -5.49379715e+04  3.70e+03 2.47e-17  4.85e-01     1s
  15  -5.36191364e+04 -6.06078904e+04  2.20e+03 6.43e-09  8.93e-01     1s
  18  -5.15267813e+04 -5.34065789e+04  2.30e+03 2.54e-17  2.46e-01     1s
  16  -5.42779257e+04 -5.83093445e+04  1.20e+03 5.51e-08  5.17e-01     1s
  19  -5.17187370e+04 -5.32627062e+04  1.43e+03 3.44e-17  1.98e-01     1s

  17  -5.46078337e+04 -5.56419050e+04  7.06e+02 1.01e-07  1.46e-01     1s
  20  -5.19115893e+04 -5.27778979e+04  5.74e+02 3.33e-17  1.10e-01     1s
  21  -5.20218342e+04 -5.22009258e+04  1.47e+02 1.46e-09  2.30e-02     1s
  18  -5.49244162e+04 -5.53534638e+04  1.99e+02 6.13e-08  6.00e-02     1s
  22  -5.20513366e+04 -5.21046918e+04  5.00e+01 2.55e-09  6.93e-03     1s
  19  -5.49900086e+04 -5.50925431e+04  1.06e+02 2.18e-08  1.61e-02     1s
  23  -5.20641552e+04 -5.20702975e+04  6.53e+00 1.85e-09  8.25e-04     1s
  20  -5.50607985e+04 -5.50689325e+04  4.83e+00 5.17e-09  6.96e-04     1s
  24  -5.20665695e+04 -5.20676433e+04  2.45e-02 4.62e-10  1.37e-04     1s
  25  -5.20665944e+04 -5.20666161e+04  6.01e-08 1.14e-10  1.29e-06     1s
  21  -5.50644023e+04 -5.50650394e+04  3.07e-03 9.98e-10  5.07e-06     1s
  26  -5.20665961e+04 -5.20665967e+04  6.87e-08 5.80e-12  1.29e-09     1s
  22  -5.50644091e+04 -5.50644100e+04  9.90e-08 1.55e-12  5.07e-09     1s

Barrier solved model in 22 iterations and 0.84 seconds (0.14 work units)
Optimal objective -5.50644091e+04


Barrier solved model in 26 iterations and 0.85 seconds (0.16 work units)
Optimal objective -5.20665961e+04

Crossover log...

Crossover log...

Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
     608 DPushes remaining with DInf 0.0000000e+00                 1s

       5 DPushes remaining with DInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    2102 PPushes remaining with PInf 0.0000000e+00                 1s
Read LP format model from file /tmp/linopy-problem-38toj1rq.lp
Reading time = 0.11 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0xa7e47716
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [2e-01, 1e+00]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Read LP format model from file /tmp/linopy-problem-n1xzzgvu.lp
Reading time = 0.14 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x0e44200b
       0 DPushes remaining with DInf 0.0000000e+00                 1s
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [7e-01, 7e-01]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.


    2262 PPushes remaining with PInf 0.0000000e+00                 1s
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.07s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 1.7208457e-15      1s

Crossover time: 0.25 seconds (0.08 work units)
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.07s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...


Solved with barrier
Ordering time: 0.02s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

Iteration    Objective       Primal Inf.    Dual Inf.      Time
    2110   -5.5064409e+04   0.000000e+00   0.000000e+00      1s

Solved in 2110 iterations and 1.10 seconds (0.22 work units)
Optimal objective -5.506440906e+04
Ordering time: 0.02s

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -1.06617948e+04 -1.09516645e+07  7.39e+08 1.15e-01  2.15e+05     0s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
   1  -2.72024693e+05 -9.61473801e+06  1.06e+08 2.24e-01  1.05e+05     0s

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0   4.69065011e+04 -8.49418387e+06  7.35e+08 0.00e+00  8.29e+04     0s
       0 PPushes remaining with PInf 0.0000000e+00                 1s
   2  -1.83792027e+05 -3.47979761e+06  5.68e+07 2.45e-03  1.68e+04     0s

  Push phase complete: Pinf 0.0000000e+00, Dinf 5.9804592e-16      1s

   1   3.29840876e+05 -7.93588465e+06  1.13e+08 6.88e-02  4.26e+04     0s
Crossover time: 0.36 seconds (0.12 work units)

Solved with barrier
   3  -2.23559804e+04 -1.60105872e+06  1.52e+06 4.68e-05  7.85e+02     0s
   2   3.87527978e+05 -2.40940129e+06  5.53e+07 1.52e-03  5.78e+03     0s
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    2871   -5.2066596e+04   0.000000e+00   0.000000e+00      1s

Solved in 2871 iterations and 1.25 seconds (0.29 work units)
Optimal objective -5.206659614e+04
   4  -2.10620254e+04 -4.30028790e+05  4.45e+05 1.15e-15  1.58e+02     0s
   3   5.54148654e+04 -1.09406327e+06  3.10e+06 9.48e-05  4.32e+02     0s
   5  -2.33074192e+04 -1.89684652e+05  1.58e+05 4.66e-16  5.07e+01     0s
   4   4.26860316e+04 -3.62650034e+05  4.12e+05 8.84e-07  7.40e+01     0s

   6  -2.60787802e+04 -1.17764130e+05  1.08e+05 2.47e-16  2.72e+01     0s
   5   4.17235226e+04 -1.44984326e+05  1.86e+05 3.09e-16  2.88e+01     0s
   7  -2.88965448e+04 -9.96670087e+04  7.72e+04 2.04e-16  2.02e+01     0s
   6   4.10793369e+04 -1.50376505e+04  1.19e+05 1.21e-16  8.54e+00     0s
   8  -3.28450297e+04 -8.91689071e+04  5.29e+04 2.05e-16  1.56e+01     0s
   7   3.73198556e+04  1.73924198e+04  2.37e+04 4.89e-17  2.59e+00     0s
   9  -3.63303425e+04 -8.13941800e+04  4.26e+04 1.26e-16  1.24e+01     0s
   8   3.56027411e+04  2.51349211e+04  1.27e+04 1.46e-08  1.33e+00     0s
  10  -3.66752507e+04 -7.53820149e+04  3.70e+04 1.47e-16  1.05e+01     0s
   9   3.41927793e+04  2.91404635e+04  4.64e+03 7.64e-08  6.29e-01     0s
  11  -4.12711507e+04 -6.61630944e+04  2.05e+04 9.66e-17  6.62e+00     0s
  10   3.36608204e+04  3.10859505e+04  2.09e+03 8.44e-08  3.19e-01     0s
  12  -4.21032539e+04 -5.95628311e+04  1.76e+04 5.98e-17  4.72e+00     1s
  11   3.32984815e+04  3.24968742e+04  6.32e+02 6.02e-08  1.01e-01     0s
  13  -4.36382016e+04 -5.73050120e+04  1.20e+04 5.32e-17  3.64e+00     1s
  12   3.31601527e+04  3.27504773e+04  2.71e+02 5.83e-08  5.17e-02     1s

  14  -4.40999902e+04 -5.64464094e+04  8.52e+03 6.19e-17  3.22e+00     1s
  13   3.31130880e+04  3.28765837e+04  1.52e+02 4.69e-08  3.01e-02     1s
  15  -4.48455051e+04 -5.12350282e+04  5.87e+03 5.25e-17  1.70e+00     1s
  14   3.30660410e+04  3.30361018e+04  3.48e+01 2.42e-08  4.24e-03     1s
  16  -4.58314921e+04 -4.73362681e+04  1.18e+03 1.77e-09  3.92e-01     1s
  15   3.30523241e+04  3.30499211e+04  5.44e+00 6.02e-09  4.84e-04     1s
  17  -4.63745506e+04 -4.66961684e+04  2.74e+02 1.03e-08  8.41e-02     1s
  16   3.30495796e+04  3.30495493e+04  2.63e-01 9.71e-10  2.34e-05     1s
  18  -4.65169809e+04 -4.66093795e+04  6.08e+01 6.43e-09  2.37e-02     1s
  19  -4.65572325e+04 -4.65846976e+04  4.46e+00 4.38e-09  6.71e-03     1s
  17   3.30494304e+04  3.30494375e+04  1.34e-08 4.81e-11  3.30e-08     1s
  20  -4.65595223e+04 -4.65625586e+04  1.48e+00 3.16e-10  7.63e-04     1s
  21  -4.65612096e+04 -4.65622801e+04  5.43e-02 4.15e-10  2.56e-04     1s
  18   3.30494303e+04  3.30494303e+04  5.59e-09 4.86e-14  3.30e-11     1s

Barrier solved model in 18 iterations and 0.68 seconds (0.12 work units)
Optimal objective 3.30494303e+04

Crossover log...
  22  -4.65612635e+04 -4.65612637e+04  2.21e-06 2.51e-12  1.95e-08     1s

  23  -4.65612635e+04 -4.65612635e+04  9.31e-09 2.12e-15  1.95e-11     1s

Barrier solved model in 23 iterations and 0.74 seconds (0.15 work units)
Optimal objective -4.65612635e+04

Crossover log...

       8 DPushes remaining with DInf 0.0000000e+00                 1s
      13 DPushes remaining with DInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    1791 PPushes remaining with PInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

     745 PPushes remaining with PInf 0.0000000e+00                 1s
       0 PPushes remaining with PInf 0.0000000e+00                 1s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 1.1050189e-15      1s


Crossover time: 0.13 seconds (0.06 work units)
  Push phase complete: Pinf 0.0000000e+00, Dinf 2.4459601e-16      1s


Solved with barrier
Crossover time: 0.17 seconds (0.02 work units)
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1802   -4.6561264e+04   0.000000e+00   0.000000e+00      1s

Solved in 1802 iterations and 0.89 seconds (0.21 work units)
Optimal objective -4.656126351e+04

Solved with barrier
Iteration    Objective       Primal Inf.    Dual Inf.      Time
     761    3.3049430e+04   0.000000e+00   0.000000e+00      1s

Solved in 761 iterations and 0.88 seconds (0.15 work units)
Optimal objective  3.304943025e+04
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de

Read LP format model from file /tmp/linopy-problem-31t_8ns2.lp
Reading time = 0.10 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x5fef215b
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [2e-01, 1e+00]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.04s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.01s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -4.08929095e+04 -2.06701892e+07  7.39e+08 2.16e-01  4.06e+05     0s
Read LP format model from file /tmp/linopy-problem-iz55icua.lp
Reading time = 0.07 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x4b3b5e9f
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [1e-01, 1e+00]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

   1  -6.95393047e+05 -1.92514725e+07  1.12e+08 4.29e-01  2.11e+05     0s
   2  -5.88490385e+05 -6.82792694e+06  6.27e+07 7.91e-03  3.51e+04     0s
   3  -4.92217599e+04 -2.99085056e+06  2.41e+06 3.86e-04  1.95e+03     0s
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.05s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

   4  -3.71122643e+04 -9.91338770e+05  4.60e+05 4.35e-06  3.68e+02     0s
Ordering time: 0.01s
   5  -3.75502088e+04 -4.46147848e+05  1.53e+05 1.13e-15  1.23e+02     0s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
   6  -4.01556739e+04 -1.85053371e+05  9.37e+04 6.40e-16  4.31e+01     0s

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   7  -4.48182192e+04 -1.38011865e+05  6.43e+04 3.91e-16  2.65e+01     0s
   0  -2.66190241e+04 -1.11494357e+07  7.39e+08 1.17e-01  2.19e+05     0s
   8  -5.06217845e+04 -1.16879383e+05  2.94e+04 4.27e-16  1.76e+01     0s
   1  -4.07942254e+05 -9.70306174e+06  1.06e+08 2.26e-01  1.06e+05     0s
   9  -5.40998696e+04 -1.02565883e+05  2.11e+04 3.12e-16  1.28e+01     0s
   2  -2.68948268e+05 -3.67300319e+06  5.63e+07 2.56e-03  1.74e+04     0s
  10  -5.69987939e+04 -9.44257225e+04  1.79e+04 2.55e-16  9.89e+00     0s
  11  -6.01569011e+04 -8.92711769e+04  1.30e+04 1.97e-16  7.63e+00     0s
   3  -3.13701785e+04 -1.67655683e+06  1.33e+06 3.81e-05  7.67e+02     0s
  12  -6.22553163e+04 -8.26725583e+04  8.98e+03 1.80e-16  5.33e+00     0s
  13  -6.46073689e+04 -7.76147199e+04  3.99e+03 1.14e-16  3.31e+00     0s
   4  -3.03950885e+04 -4.36005216e+05  4.32e+05 7.63e-16  1.55e+02     0s
  14  -6.56519721e+04 -7.06663804e+04  2.13e+03 9.81e-17  1.30e+00     0s
  15  -6.64781939e+04 -6.84302847e+04  7.18e+02 1.34e-08  5.05e-01     0s
   5  -3.19837191e+04 -2.05153636e+05  1.82e+05 3.68e-16  5.36e+01     0s
  16  -6.65429055e+04 -6.73886554e+04  6.12e+02 3.21e-09  2.30e-01     0s
   6  -3.38294243e+04 -1.30454309e+05  1.01e+05 2.66e-16  2.75e+01     0s
  17  -6.65787566e+04 -6.70935741e+04  5.27e+02 6.97e-09  1.46e-01     0s
   7  -3.58692087e+04 -1.05990781e+05  6.66e+04 1.58e-16  1.92e+01     0s
  18  -6.69147925e+04 -6.70141162e+04  8.34e+00 2.15e-08  2.30e-02     0s
   8  -3.77012781e+04 -9.94185538e+04  5.26e+04 1.30e-16  1.66e+01     0s
  19  -6.69232379e+04 -6.69284665e+04  1.02e-05 7.50e-10  1.22e-03     0s

   9  -4.17721893e+04 -8.99740319e+04  3.72e+04 1.07e-16  1.27e+01     0s
  20  -6.69268141e+04 -6.69268507e+04  4.20e-07 1.25e-10  1.09e-05     0s
  10  -4.22110796e+04 -8.54495125e+04  3.57e+04 6.35e-17  1.14e+01     0s
  21  -6.69268159e+04 -6.69268160e+04  6.94e-08 8.45e-14  1.09e-08     0s
  22  -6.69268159e+04 -6.69268159e+04  6.47e-08 4.83e-15  1.09e-11     0s

Barrier solved model in 22 iterations and 0.46 seconds (0.14 work units)
Optimal objective -6.69268159e+04

  11  -4.14730889e+04 -8.10883081e+04  2.83e+04 1.32e-16  1.03e+01     0s
Crossover log...

  12  -4.55034311e+04 -7.45845000e+04  1.69e+04 1.05e-16  7.43e+00     0s
       4 DPushes remaining with DInf 0.0000000e+00                 0s
  13  -4.70047754e+04 -7.13077835e+04  1.38e+04 9.64e-17  6.19e+00     0s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    2041 PPushes remaining with PInf 0.0000000e+00                 1s
  14  -4.89308913e+04 -5.92862749e+04  8.26e+03 7.63e-17  2.69e+00     0s
  15  -4.87034591e+04 -5.86310623e+04  7.68e+03 7.09e-17  2.57e+00     0s
  16  -5.04930230e+04 -5.67795718e+04  3.78e+03 6.29e-17  1.60e+00     0s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 5.8737737e-15      1s

Crossover time: 0.12 seconds (0.06 work units)

Solved with barrier
  17  -5.05050487e+04 -5.66322820e+04  3.72e+03 3.23e-17  1.56e+00     1s
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    2048   -6.6926816e+04   0.000000e+00   0.000000e+00      1s

Solved in 2048 iterations and 0.60 seconds (0.21 work units)
Optimal objective -6.692681594e+04
  18  -5.07430533e+04 -5.64186001e+04  2.97e+03 5.47e-17  1.44e+00     1s

  19  -5.12457498e+04 -5.39684046e+04  9.32e+02 5.50e-17  6.77e-01     1s
  20  -5.13891315e+04 -5.27897904e+04  6.82e+02 3.69e-10  3.52e-01     1s
  21  -5.14841628e+04 -5.22375575e+04  4.82e+02 6.10e-09  1.91e-01     1s
  22  -5.16267842e+04 -5.19363844e+04  1.99e+02 7.90e-09  7.85e-02     1s
  23  -5.17012398e+04 -5.18008595e+04  5.31e+01 1.62e-09  2.50e-02     1s
  24  -5.17117768e+04 -5.17659886e+04  3.38e+01 1.93e-10  1.37e-02     1s
  25  -5.17173692e+04 -5.17562764e+04  2.42e+01 1.61e-10  9.85e-03     1s
  26  -5.17306809e+04 -5.17342516e+04  4.13e-01 2.05e-10  8.69e-04     1s

  27  -5.17309569e+04 -5.17313821e+04  2.10e-01 1.97e-10  1.06e-04     1s
  28  -5.17311698e+04 -5.17312298e+04  4.06e-02 7.15e-11  1.52e-05     1s

  29  -5.17312192e+04 -5.17312202e+04  3.66e-06 6.55e-11  2.42e-07     1s

  30  -5.17312195e+04 -5.17312195e+04  1.77e-08 4.36e-14  2.42e-10     1s

Barrier solved model in 30 iterations and 0.79 seconds (0.18 work units)
Optimal objective -5.17312195e+04

Crossover log...

       5 DPushes remaining with DInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    1988 PPushes remaining with PInf 0.0000000e+00                 1s

       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 8.8210689e-16      1s

Crossover time: 0.21 seconds (0.06 work units)

Solved with barrier
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1996   -5.1731219e+04   0.000000e+00   0.000000e+00      1s

Solved in 1996 iterations and 1.06 seconds (0.25 work units)
Optimal objective -5.173121946e+04

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)
/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(
/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Read LP format model from file /tmp/linopy-problem-has0i731.lp
Reading time = 0.03 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x1e14994f
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [6e-01, 8e-01]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.02s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.01s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -4.93358168e+04 -1.66386585e+07  7.39e+08 8.71e-02  1.63e+05     0s
   1  -7.24200462e+05 -1.56139824e+07  1.10e+08 1.75e-01  8.62e+04     0s
   2  -6.20042449e+05 -5.73148984e+06  6.33e+07 3.27e-03  1.50e+04     0s
   3  -5.73147217e+04 -2.51393995e+06  2.23e+06 1.33e-04  7.80e+02     0s
   4  -4.72471864e+04 -8.03016118e+05  5.09e+05 1.10e-15  1.53e+02     0s
   5  -4.70035638e+04 -4.12226650e+05  1.72e+05 5.42e-16  5.61e+01     0s
   6  -4.84370288e+04 -1.62997920e+05  1.01e+05 1.72e-16  1.71e+01     0s
   7  -5.17498344e+04 -1.32206045e+05  5.98e+04 9.15e-17  1.12e+01     0s
   8  -5.47565051e+04 -1.00071785e+05  3.71e+04 9.83e-17  6.12e+00     0s
   9  -5.64071381e+04 -9.35797637e+04  3.01e+04 9.23e-17  4.99e+00     0s
  10  -5.74058870e+04 -8.66255438e+04  2.64e+04 5.96e-17  3.95e+00     0s
  11  -6.16822270e+04 -7.78901757e+04  1.53e+04 4.50e-17  2.19e+00     0s
  12  -6.30769199e+04 -7.42671027e+04  1.15e+04 3.81e-17  1.52e+00     0s
  13  -6.44573357e+04 -7.32238967e+04  7.93e+03 3.75e-17  1.18e+00     0s
  14  -6.53286671e+04 -6.74529528e+04  5.18e+03 1.71e-08  3.35e-01     0s

Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
  15  -6.60673631e+04 -6.70874089e+04  2.12e+03 2.40e-08  1.54e-01     0s
  16  -6.63759422e+04 -6.68427120e+04  8.87e+02 2.07e-08  7.05e-02     0s
  17  -6.65698843e+04 -6.66209355e+04  1.19e+02 7.19e-09  7.69e-03     0s
  18  -6.66009960e+04 -6.66048630e+04  1.27e+00 2.89e-09  3.85e-04     0s
  19  -6.66019663e+04 -6.66029704e+04  4.98e-02 2.38e-09  3.68e-05     0s
  20  -6.66020281e+04 -6.66023082e+04  4.30e-04 9.17e-10  1.36e-06     0s
Read LP format model from file /tmp/linopy-problem-q8sd65hw.lp
Reading time = 0.05 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x15645eba
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [6e-01, 8e-01]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

  21  -6.66020289e+04 -6.66020289e+04  3.45e-08 1.90e-13  1.36e-09     0s

Barrier solved model in 21 iterations and 0.22 seconds (0.14 work units)
Optimal objective -6.66020289e+04

Crossover log...

     338 DPushes remaining with DInf 0.0000000e+00                 0s
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.03s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.01s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -7.29276877e+03 -1.20175765e+07  7.39e+08 6.29e-02  1.18e+05     0s
       0 DPushes remaining with DInf 0.0000000e+00                 0s

    2143 PPushes remaining with PInf 0.0000000e+00                 0s
   1  -2.91410237e+05 -1.11217312e+07  1.13e+08 1.16e-01  6.03e+04     0s
   2  -1.96361237e+05 -3.88059236e+06  6.20e+07 2.12e-03  9.81e+03     0s
   3  -9.18913467e+03 -1.72960210e+06  2.30e+06 1.21e-04  5.45e+02     0s
   4  -5.19325530e+03 -5.48209605e+05  4.44e+05 3.25e-06  1.03e+02     0s
   5  -6.75936569e+03 -2.38195542e+05  1.37e+05 4.18e-07  3.42e+01     0s
       0 PPushes remaining with PInf 0.0000000e+00                 0s

  Push phase complete: Pinf 0.0000000e+00, Dinf 1.7737548e-15      0s

Crossover time: 0.10 seconds (0.11 work units)

Solved with barrier
   6  -9.66920106e+03 -9.83707589e+04  9.00e+04 1.55e-16  1.31e+01     0s
   7  -1.23579889e+04 -7.14829930e+04  6.85e+04 1.05e-16  8.56e+00     0s
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    2484   -6.6602029e+04   0.000000e+00   0.000000e+00      0s

Solved in 2484 iterations and 0.33 seconds (0.25 work units)
Optimal objective -6.660202891e+04
   8  -1.68031956e+04 -6.50817232e+04  3.65e+04 1.00e-16  6.56e+00     0s
   9  -1.94673890e+04 -4.98586928e+04  2.57e+04 6.42e-17  4.12e+00     0s
  10  -2.06479658e+04 -4.88511996e+04  2.21e+04 3.99e-09  3.79e+00     0s
  11  -2.27493398e+04 -4.41141485e+04  1.56e+04 2.66e-08  2.85e+00     0s

  12  -2.39616544e+04 -4.29204289e+04  1.33e+04 4.09e-08  2.52e+00     0s
  13  -2.46473299e+04 -3.65277901e+04  1.12e+04 1.45e-07  1.62e+00     0s
  14  -2.52178770e+04 -3.56687065e+04  8.13e+03 1.56e-07  1.40e+00     0s
  15  -2.59723969e+04 -3.47063564e+04  6.02e+03 1.44e-07  1.16e+00     0s
  16  -2.62273322e+04 -3.37344803e+04  5.31e+03 1.23e-07  9.98e-01     0s
  17  -2.65605567e+04 -3.31495334e+04  4.17e+03 1.30e-07  8.70e-01     0s
  18  -2.74641251e+04 -3.03135590e+04  7.49e+02 1.44e-07  3.67e-01     0s
  19  -2.76086596e+04 -2.78922794e+04  3.29e+02 8.62e-08  4.66e-02     0s
  20  -2.76979157e+04 -2.78217830e+04  8.72e+01 6.37e-08  2.18e-02     0s
  21  -2.77300294e+04 -2.77389235e+04  5.34e-01 2.32e-08  3.16e-03     0s
  22  -2.77318213e+04 -2.77117797e+04  6.06e-08 2.89e-08  2.15e-04     0s
  23  -2.77319304e+04 -2.77223773e+04  5.61e-08 1.38e-08  1.05e-04     0s
  24  -2.77322749e+04 -2.77203237e+04  7.10e-07 1.63e-08  3.43e-05     0s
  25  -2.77322973e+04 -2.77319248e+04  2.89e-08 6.83e-10  9.94e-06     0s
  26  -2.77323391e+04 -2.77287100e+04  3.69e-07 5.49e-09  3.44e-06     0s
  27  -2.77323635e+04 -2.77304272e+04  3.55e-07 2.65e-09  3.33e-07     0s
  28  -2.77323658e+04 -2.77322818e+04  6.54e-08 1.14e-10  8.73e-09     0s

Barrier solved model in 28 iterations and 0.31 seconds (0.19 work units)
Optimal objective -2.77323658e+04

Crossover log...

       4 DPushes remaining with DInf 0.0000000e+00                 0s
       0 DPushes remaining with DInf 0.0000000e+00                 0s

    1956 PPushes remaining with PInf 0.0000000e+00                 0s

       0 PPushes remaining with PInf 0.0000000e+00                 0s

  Push phase complete: Pinf 0.0000000e+00, Dinf 1.5456386e-15      0s

Crossover time: 0.09 seconds (0.09 work units)

Solved with barrier
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1963   -2.7732366e+04   0.000000e+00   0.000000e+00      0s

Solved in 1963 iterations and 0.41 seconds (0.28 work units)
Optimal objective -2.773236587e+04

The results are returned in the form of two pandas DataFrames; one for directions and one for resulting points / coordinates. Using scipy, we can compute and plot the convex hull of the points we generated.

In [7]:

display(pts.head() / 1e3)

fig, ax = plt.subplots(figsize=(8, 6))
convex_hull_plot_2d(ConvexHull(pts / 1e3), ax)

ax.axis("equal")
ax.set_xlabel("Wind capacity (GW)")
ax.set_ylabel("Solar capacity (GW)")
ax.set_title("Near-optimal space in wind-solar coordinate space")

plt.show()

display(pts.head() / 1e3) fig, ax = plt.subplots(figsize=(8, 6)) convex_hull_plot_2d(ConvexHull(pts / 1e3), ax) ax.axis("equal") ax.set_xlabel("Wind capacity (GW)") ax.set_ylabel("Solar capacity (GW)") ax.set_title("Near-optimal space in wind-solar coordinate space") plt.show()

	wind	solar
0	17.037387	70.267029
1	49.546872	16.643482
2	15.133119	70.067082
3	15.910653	70.305473
4	50.504400	9.922783

While random directions generally work well, they are not always perfectly spaced out. In two dimensions, we can easily generate evenly spaced directions (points on a circle); implemented in PyPSA in pypsa.optimization.mga.generate_directions_evenly_spaced. In higher dimensions, generating evenly spaced directions is not trivial, but Halton sequences (pypsa.optimization.mga.generate_directions_halton) do a better job than randomly generated directions.

In [8]:

n_points = 20
directions_random = pypsa.optimization.mga.generate_directions_random(
    dimensions.keys(), n_points, seed=0
)
directions_even = pypsa.optimization.mga.generate_directions_evenly_spaced(
    dimensions.keys(), n_points
)
directions_halton = pypsa.optimization.mga.generate_directions_halton(
    dimensions.keys(), n_points, seed=0
)
fig, axs = plt.subplots(1, 3, figsize=(12, 3), sharey=True)
directions_random.plot(kind="scatter", x="wind", y="solar", ax=axs[0])
directions_even.plot(kind="scatter", x="wind", y="solar", ax=axs[1])
directions_halton.plot(kind="scatter", x="wind", y="solar", ax=axs[2])
for ax in axs:
    ax.set_xlim(-1.1, 1.1)
    ax.set_ylim(-1.1, 1.1)
    ax.axis("equal")
plt.show()

n_points = 20 directions_random = pypsa.optimization.mga.generate_directions_random( dimensions.keys(), n_points, seed=0 ) directions_even = pypsa.optimization.mga.generate_directions_evenly_spaced( dimensions.keys(), n_points ) directions_halton = pypsa.optimization.mga.generate_directions_halton( dimensions.keys(), n_points, seed=0 ) fig, axs = plt.subplots(1, 3, figsize=(12, 3), sharey=True) directions_random.plot(kind="scatter", x="wind", y="solar", ax=axs[0]) directions_even.plot(kind="scatter", x="wind", y="solar", ax=axs[1]) directions_halton.plot(kind="scatter", x="wind", y="solar", ax=axs[2]) for ax in axs: ax.set_xlim(-1.1, 1.1) ax.set_ylim(-1.1, 1.1) ax.axis("equal") plt.show()

In [9]:

fig, axs = plt.subplots(1, 3, figsize=(12, 3), sharey=True)

for ax, directions in zip(axs, [directions_random, directions_even, directions_halton]):
    _, pts = n.optimize.optimize_mga_in_multiple_directions(
        dimensions=dimensions,
        directions=directions,
        slack=0.05,
        solver_name="gurobi",
        max_parallel=8,
    )
    convex_hull_plot_2d(ConvexHull(pts / 1e3), ax)
    ax.axis("equal")
    ax.set_xlabel("Wind capacity (GW)")
    ax.set_ylabel("Solar capacity (GW)")
plt.show()

fig, axs = plt.subplots(1, 3, figsize=(12, 3), sharey=True) for ax, directions in zip(axs, [directions_random, directions_even, directions_halton]): _, pts = n.optimize.optimize_mga_in_multiple_directions( dimensions=dimensions, directions=directions, slack=0.05, solver_name="gurobi", max_parallel=8, ) convex_hull_plot_2d(ConvexHull(pts / 1e3), ax) ax.axis("equal") ax.set_xlabel("Wind capacity (GW)") ax.set_ylabel("Solar capacity (GW)") plt.show()

INFO:pypsa.network.io:Exported network 'Model-Energy' saved to '/tmp/tmpdrpqb86y.nc contains: buses, stores, loads, generators, links, carriers, sub_networks, storage_units

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)
/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)
/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)
/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)
/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(
/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(
/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(
/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(
/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(
/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Read LP format model from file /tmp/linopy-problem-5gjzpv8t.lp
Reading time = 0.10 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0xa8fdf525
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [2e-01, 1e+00]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.07s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Read LP format model from file /tmp/linopy-problem-ywo3kx7x.lp
Reading time = 0.12 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x984a0fd3
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [4e-01, 9e-01]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Ordering time: 0.03s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -4.79166792e+04 -2.06285536e+07  7.39e+08 2.16e-01  4.05e+05     0s
   1  -7.53813806e+05 -1.92701132e+07  1.12e+08 4.31e-01  2.11e+05     0s
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.10s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

   2  -6.51340768e+05 -6.89668689e+06  6.29e+07 8.07e-03  3.57e+04     0s
   3  -5.73276150e+04 -3.02034185e+06  2.40e+06 3.64e-04  1.97e+03     0s
Ordering time: 0.02s
   4  -4.48505834e+04 -1.07502187e+06  5.23e+05 1.16e-06  4.13e+02     0s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
   5  -4.47191059e+04 -5.18911584e+05  1.77e+05 1.15e-15  1.46e+02     0s

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -3.84277753e+04 -1.01893163e+07  7.39e+08 5.34e-02  1.00e+05     0s
   6  -4.70401487e+04 -1.98157582e+05  1.08e+05 4.44e-16  4.51e+01     0s
   7  -5.15559669e+04 -1.51095578e+05  6.98e+04 2.61e-16  2.82e+01     0s

   1  -5.88627026e+05 -8.63304171e+06  1.06e+08 1.01e-01  4.70e+04     0s
   8  -5.71044661e+04 -1.20042612e+05  2.39e+04 2.38e-16  1.64e+01     0s
   9  -6.05254026e+04 -1.07502798e+05  1.91e+04 2.33e-16  1.22e+01     0s
   2  -3.02640008e+05 -2.65460064e+06  5.39e+07 1.00e-03  5.76e+03     0s
  10  -6.26899693e+04 -1.05793804e+05  1.59e+04 2.05e-16  1.11e+01     0s
  11  -6.60632456e+04 -9.87213920e+04  1.13e+04 1.97e-16  8.38e+00     0s
   3  -3.93470599e+04 -1.21615079e+06  1.69e+06 3.37e-05  3.05e+02     0s
  12  -6.71884347e+04 -9.11707308e+04  8.91e+03 1.80e-16  6.17e+00     0s
  13  -6.96388227e+04 -8.61335392e+04  4.19e+03 1.30e-16  4.16e+00     0s
   4  -3.67919431e+04 -3.79883814e+05  4.14e+05 3.25e-16  6.35e+01     0s
  14  -7.08992414e+04 -7.60687922e+04  1.64e+03 1.37e-16  1.31e+00     0s
   5  -3.79544560e+04 -1.90968025e+05  1.60e+05 1.57e-16  2.29e+01     0s
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
   6  -3.92330041e+04 -1.05644029e+05  8.95e+04 9.38e-17  9.31e+00     0s
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
  15  -7.16372468e+04 -7.50180090e+04  5.69e+02 8.70e-17  8.38e-01     0s
   7  -4.09823772e+04 -9.14206769e+04  6.65e+04 5.95e-17  6.90e+00     0s

  16  -7.17831957e+04 -7.34965046e+04  3.81e+02 1.06e-16  4.28e-01     1s
Read LP format model from file /tmp/linopy-problem-9hs8jgs6.lp
Reading time = 0.05 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x5fef215b
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [2e-01, 1e+00]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

   8  -4.21117876e+04 -8.43978774e+04  5.47e+04 4.76e-17  5.71e+00     0s
   9  -4.45134950e+04 -7.97152874e+04  3.84e+04 5.92e-17  4.65e+00     0s
  17  -7.20070778e+04 -7.23634418e+04  7.92e+01 2.94e-09  8.89e-02     1s
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.03s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

  10  -4.55308380e+04 -7.73766316e+04  3.41e+04 4.51e-17  4.19e+00     1s
Ordering time: 0.01s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
  18  -7.20713109e+04 -7.20878372e+04  3.56e+00 2.43e-09  4.34e-03     1s
  11  -4.61409130e+04 -7.13614930e+04  2.73e+04 3.16e-17  3.30e+00     1s

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -4.08929095e+04 -2.06701892e+07  7.39e+08 2.16e-01  4.06e+05     0s
  19  -7.20770917e+04 -7.20771089e+04  1.52e-07 2.35e-10  1.37e-05     1s
  12  -4.80059206e+04 -6.62457463e+04  1.97e+04 2.48e-17  2.38e+00     1s
   1  -6.95393047e+05 -1.92514725e+07  1.12e+08 4.29e-01  2.11e+05     0s
  20  -7.20771072e+04 -7.20771072e+04  1.07e-08 3.53e-13  3.79e-09     1s

Barrier solved model in 20 iterations and 0.64 seconds (0.13 work units)
Optimal objective -7.20771072e+04

Crossover log...
   2  -5.88490385e+05 -6.82792694e+06  6.27e+07 7.91e-03  3.51e+04     0s

  13  -4.91132693e+04 -6.11491298e+04  1.12e+04 2.16e-17  1.55e+00     1s
   3  -4.92217599e+04 -2.99085056e+06  2.41e+06 3.86e-04  1.95e+03     0s
  14  -5.01191061e+04 -5.74747919e+04  7.52e+03 1.65e-17  9.50e-01     1s
      71 DPushes remaining with DInf 0.0000000e+00                 1s
   4  -3.71122643e+04 -9.91338770e+05  4.60e+05 4.35e-06  3.68e+02     0s
  15  -5.08748252e+04 -5.55699360e+04  4.79e+03 1.66e-17  6.06e-01     1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

   5  -3.75502088e+04 -4.46147848e+05  1.53e+05 1.13e-15  1.23e+02     0s

    2070 PPushes remaining with PInf 0.0000000e+00                 1s
  16  -5.09158146e+04 -5.53164000e+04  4.64e+03 2.06e-17  5.69e-01     1s
   6  -4.01556739e+04 -1.85053371e+05  9.37e+04 6.40e-16  4.31e+01     0s
   7  -4.48182192e+04 -1.38011865e+05  6.43e+04 3.91e-16  2.65e+01     0s
  17  -5.11701864e+04 -5.49379715e+04  3.70e+03 2.47e-17  4.85e-01     1s
   8  -5.06217845e+04 -1.16879383e+05  2.94e+04 4.27e-16  1.76e+01     0s
  18  -5.15267813e+04 -5.34065789e+04  2.30e+03 2.54e-17  2.46e-01     1s
  19  -5.17187370e+04 -5.32627062e+04  1.43e+03 3.44e-17  1.98e-01     1s
   9  -5.40998696e+04 -1.02565883e+05  2.11e+04 3.12e-16  1.28e+01     0s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 8.1532003e-15      1s

Crossover time: 0.18 seconds (0.07 work units)

Solved with barrier
  20  -5.19115893e+04 -5.27778979e+04  5.74e+02 3.33e-17  1.10e-01     1s
  10  -5.69987939e+04 -9.44257225e+04  1.79e+04 2.55e-16  9.89e+00     0s
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    2144   -7.2077107e+04   0.000000e+00   0.000000e+00      1s

Solved in 2144 iterations and 0.84 seconds (0.21 work units)
Optimal objective -7.207710721e+04
  21  -5.20218342e+04 -5.22009258e+04  1.47e+02 1.46e-09  2.30e-02     1s
  11  -6.01569011e+04 -8.92711769e+04  1.30e+04 1.97e-16  7.63e+00     0s
  22  -5.20513366e+04 -5.21046918e+04  5.00e+01 2.55e-09  6.93e-03     1s
  23  -5.20641552e+04 -5.20702975e+04  6.53e+00 1.85e-09  8.25e-04     1s
  12  -6.22553163e+04 -8.26725583e+04  8.98e+03 1.80e-16  5.33e+00     0s
  24  -5.20665695e+04 -5.20676433e+04  2.45e-02 4.62e-10  1.37e-04     1s
  25  -5.20665944e+04 -5.20666161e+04  6.01e-08 1.14e-10  1.29e-06     1s
  13  -6.46073689e+04 -7.76147199e+04  3.99e+03 1.14e-16  3.31e+00     0s
  26  -5.20665961e+04 -5.20665967e+04  6.87e-08 5.80e-12  1.29e-09     1s

Barrier solved model in 26 iterations and 0.83 seconds (0.16 work units)
Optimal objective -5.20665961e+04

Crossover log...

     608 DPushes remaining with DInf 0.0000000e+00                 1s

  14  -6.56519721e+04 -7.06663804e+04  2.13e+03 9.81e-17  1.30e+00     0s
  15  -6.64781939e+04 -6.84302847e+04  7.18e+02 1.34e-08  5.05e-01     0s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    2262 PPushes remaining with PInf 0.0000000e+00                 1s
  16  -6.65429055e+04 -6.73886554e+04  6.12e+02 3.21e-09  2.30e-01     0s
  17  -6.65787566e+04 -6.70935741e+04  5.27e+02 6.97e-09  1.46e-01     0s
  18  -6.69147925e+04 -6.70141162e+04  8.34e+00 2.15e-08  2.30e-02     0s
  19  -6.69232379e+04 -6.69284665e+04  1.02e-05 7.50e-10  1.22e-03     0s
  20  -6.69268141e+04 -6.69268507e+04  4.20e-07 1.25e-10  1.09e-05     1s
  21  -6.69268159e+04 -6.69268160e+04  6.94e-08 8.45e-14  1.09e-08     1s
  22  -6.69268159e+04 -6.69268159e+04  6.47e-08 4.83e-15  1.09e-11     1s

Barrier solved model in 22 iterations and 0.53 seconds (0.14 work units)
Optimal objective -6.69268159e+04

Crossover log...

       4 DPushes remaining with DInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    2041 PPushes remaining with PInf 0.0000000e+00                 1s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 5.9804592e-16      1s

Crossover time: 0.19 seconds (0.12 work units)

Solved with barrier
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    2871   -5.2066596e+04   0.000000e+00   0.000000e+00      1s

Solved in 2871 iterations and 1.03 seconds (0.29 work units)
Optimal objective -5.206659614e+04
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 5.8737737e-15      1s

Crossover time: 0.08 seconds (0.06 work units)

Solved with barrier

Iteration    Objective       Primal Inf.    Dual Inf.      Time
    2048   -6.6926816e+04   0.000000e+00   0.000000e+00      1s

Solved in 2048 iterations and 0.62 seconds (0.21 work units)
Optimal objective -6.692681594e+04
Read LP format model from file /tmp/linopy-problem-ra2bufh6.lp
Reading time = 0.09 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0xabd5be11
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [5e-01, 9e-01]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.08s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.02s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -2.94984273e+04 -1.85858639e+07  7.39e+08 9.73e-02  1.83e+05     0s
Read LP format model from file /tmp/linopy-problem-iclfhvw0.lp
Reading time = 0.14 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x0e44200b
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [7e-01, 7e-01]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

   1  -5.73482597e+05 -1.72466694e+07  1.12e+08 1.91e-01  9.39e+04     0s
   2  -4.64443217e+05 -6.07041553e+06  6.25e+07 3.45e-03  1.55e+04     0s
   3  -3.57144739e+04 -2.66031216e+06  2.40e+06 1.83e-04  8.67e+02     0s
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.09s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

   4  -2.59939979e+04 -8.12111708e+05  4.64e+05 2.15e-06  1.54e+02     0s
   5  -2.71093423e+04 -3.97598438e+05  1.37e+05 4.88e-16  5.47e+01     0s
Ordering time: 0.02s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
   6  -2.93245813e+04 -1.65281310e+05  9.65e+04 3.36e-16  2.03e+01     0s

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0   4.69065011e+04 -8.49418387e+06  7.35e+08 0.00e+00  8.29e+04     0s

   7  -3.39216651e+04 -1.20926912e+05  6.72e+04 2.67e-16  1.25e+01     0s
   1   3.29840876e+05 -7.93588465e+06  1.13e+08 6.88e-02  4.26e+04     0s
   8  -4.07731019e+04 -1.01290258e+05  2.43e+04 2.06e-16  7.94e+00     0s
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
   2   3.87527978e+05 -2.40940129e+06  5.53e+07 1.52e-03  5.78e+03     0s
   9  -4.18577361e+04 -9.77091628e+04  2.20e+04 1.86e-16  7.30e+00     0s
  10  -4.50614303e+04 -8.71416982e+04  1.73e+04 1.65e-16  5.49e+00     0s
   3   5.54148654e+04 -1.09406327e+06  3.10e+06 9.48e-05  4.32e+02     0s
  11  -4.66949654e+04 -8.24800609e+04  1.53e+04 1.40e-16  4.67e+00     0s
  12  -4.78450469e+04 -8.09551082e+04  1.33e+04 1.33e-16  4.30e+00     0s
   4   4.26860316e+04 -3.62650034e+05  4.12e+05 8.84e-07  7.40e+01     0s
Read LP format model from file /tmp/linopy-problem-e_hcxr99.lp
Reading time = 0.11 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x210e5807
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [2e-01, 1e+00]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

   5   4.17235226e+04 -1.44984326e+05  1.86e+05 3.09e-16  2.88e+01     0s
  13  -5.00396400e+04 -6.88512330e+04  9.67e+03 9.71e-17  2.48e+00     1s
   6   4.10793369e+04 -1.50376505e+04  1.19e+05 1.21e-16  8.54e+00     0s
  14  -5.24707389e+04 -6.32159332e+04  4.34e+03 8.28e-17  1.39e+00     1s

   7   3.73198556e+04  1.73924198e+04  2.37e+04 4.89e-17  2.59e+00     0s
  15  -5.36191364e+04 -6.06078904e+04  2.20e+03 6.43e-09  8.93e-01     1s
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.07s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

   8   3.56027411e+04  2.51349211e+04  1.27e+04 1.46e-08  1.33e+00     0s
  16  -5.42779257e+04 -5.83093445e+04  1.20e+03 5.51e-08  5.17e-01     1s
Ordering time: 0.02s
   9   3.41927793e+04  2.91404635e+04  4.64e+03 7.64e-08  6.29e-01     0s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
  17  -5.46078337e+04 -5.56419050e+04  7.06e+02 1.01e-07  1.46e-01     1s

                  Objective                Residual
  10   3.36608204e+04  3.10859505e+04  2.09e+03 8.44e-08  3.19e-01     0s
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -4.87789142e+04 -2.03647123e+07  7.39e+08 2.13e-01  4.00e+05     0s
  18  -5.49244162e+04 -5.53534638e+04  1.99e+02 6.13e-08  6.00e-02     1s
  11   3.32984815e+04  3.24968742e+04  6.32e+02 6.02e-08  1.01e-01     0s
   1  -7.57897577e+05 -1.90348559e+07  1.12e+08 4.26e-01  2.09e+05     0s
  19  -5.49900086e+04 -5.50925431e+04  1.06e+02 2.18e-08  1.61e-02     1s
   2  -6.56311510e+05 -6.82787650e+06  6.30e+07 8.00e-03  3.54e+04     0s
  12   3.31601527e+04  3.27504773e+04  2.71e+02 5.83e-08  5.17e-02     1s
  20  -5.50607985e+04 -5.50689325e+04  4.83e+00 5.17e-09  6.96e-04     1s
   3  -5.78196487e+04 -2.98822222e+06  2.35e+06 3.58e-04  1.92e+03     0s
  13   3.31130880e+04  3.28765837e+04  1.52e+02 4.69e-08  3.01e-02     1s
   4  -4.57361688e+04 -1.05504568e+06  5.18e+05 7.11e-07  4.04e+02     0s
  21  -5.50644023e+04 -5.50650394e+04  3.07e-03 9.98e-10  5.07e-06     1s
  14   3.30660410e+04  3.30361018e+04  3.48e+01 2.42e-08  4.24e-03     1s

   5  -4.56036841e+04 -5.14081188e+05  1.79e+05 9.69e-16  1.44e+02     0s
  22  -5.50644091e+04 -5.50644100e+04  9.90e-08 1.55e-12  5.07e-09     1s

Barrier solved model in 22 iterations and 0.78 seconds (0.14 work units)
Optimal objective -5.50644091e+04

  15   3.30523241e+04  3.30499211e+04  5.44e+00 6.02e-09  4.84e-04     1s
Crossover log...

   6  -4.78778263e+04 -1.96373732e+05  1.06e+05 8.38e-16  4.42e+01     0s
  16   3.30495796e+04  3.30495493e+04  2.63e-01 9.71e-10  2.34e-05     1s
   7  -5.22136298e+04 -1.50916290e+05  6.86e+04 3.76e-16  2.79e+01     0s
       5 DPushes remaining with DInf 0.0000000e+00                 1s
  17   3.30494304e+04  3.30494375e+04  1.34e-08 4.81e-11  3.30e-08     1s
   8  -5.73920847e+04 -1.19414543e+05  2.43e+04 3.04e-16  1.61e+01     0s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    2102 PPushes remaining with PInf 0.0000000e+00                 1s
  18   3.30494303e+04  3.30494303e+04  5.59e-09 4.86e-14  3.30e-11     1s

Barrier solved model in 18 iterations and 0.69 seconds (0.12 work units)
Optimal objective 3.30494303e+04

   9  -6.08814006e+04 -1.06249412e+05  1.94e+04 2.56e-16  1.18e+01     0s
Crossover log...

  10  -6.29629212e+04 -1.04664423e+05  1.61e+04 2.42e-16  1.08e+01     0s
  11  -6.57727061e+04 -9.80544693e+04  1.21e+04 2.30e-16  8.31e+00     0s
  12  -6.77330880e+04 -8.67887607e+04  8.32e+03 1.58e-16  4.95e+00     0s
      13 DPushes remaining with DInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

     745 PPushes remaining with PInf 0.0000000e+00                 1s
  13  -6.91768021e+04 -8.16871485e+04  5.82e+03 1.36e-16  3.26e+00     0s
  14  -7.11465344e+04 -7.40056997e+04  1.77e+03 1.79e-16  7.60e-01     0s

  15  -7.19554958e+04 -7.36299634e+04  5.47e+02 1.29e-16  4.25e-01     0s
  16  -7.21304332e+04 -7.26442313e+04  2.63e+02 5.40e-09  1.34e-01     1s
       0 PPushes remaining with PInf 0.0000000e+00                 1s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 1.7208457e-15      1s


  Push phase complete: Pinf 0.0000000e+00, Dinf 2.4459601e-16      1s

Crossover time: 0.25 seconds (0.08 work units)
Crossover time: 0.17 seconds (0.02 work units)

Solved with barrier

Solved with barrier
  17  -7.22381031e+04 -7.24379893e+04  8.81e+01 5.72e-09  5.13e-02     1s
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    2110   -5.5064409e+04   0.000000e+00   0.000000e+00      1s

Solved in 2110 iterations and 1.05 seconds (0.22 work units)
Optimal objective -5.506440906e+04
Iteration    Objective       Primal Inf.    Dual Inf.      Time
     761    3.3049430e+04   0.000000e+00   0.000000e+00      1s

Solved in 761 iterations and 0.88 seconds (0.15 work units)
Optimal objective  3.304943025e+04
  18  -7.22932074e+04 -7.22990170e+04  7.78e-08 3.78e-09  1.22e-03     1s
  19  -7.22950964e+04 -7.22951014e+04  3.73e-09 7.69e-12  1.22e-06     1s
  20  -7.22950983e+04 -7.22950983e+04  5.63e-08 1.08e-13  1.22e-09     1s

Barrier solved model in 20 iterations and 0.59 seconds (0.13 work units)
Optimal objective -7.22950983e+04

Crossover log...

      70 DPushes remaining with DInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    2088 PPushes remaining with PInf 0.0000000e+00                 1s

       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 3.4416914e-15      1s

Crossover time: 0.17 seconds (0.07 work units)

Solved with barrier
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    2159   -7.2295098e+04   0.000000e+00   0.000000e+00      1s

Solved in 2159 iterations and 0.78 seconds (0.21 work units)
Optimal objective -7.229509830e+04
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Read LP format model from file /tmp/linopy-problem-cevjxbqy.lp
Reading time = 0.10 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x4b3b5e9f
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [1e-01, 1e+00]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.07s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.02s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -2.66190241e+04 -1.11494357e+07  7.39e+08 1.17e-01  2.19e+05     0s
   1  -4.07942254e+05 -9.70306174e+06  1.06e+08 2.26e-01  1.06e+05     0s
   2  -2.68948268e+05 -3.67300319e+06  5.63e+07 2.56e-03  1.74e+04     0s
   3  -3.13701785e+04 -1.67655683e+06  1.33e+06 3.81e-05  7.67e+02     0s
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
   4  -3.03950885e+04 -4.36005216e+05  4.32e+05 7.63e-16  1.55e+02     0s
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
   5  -3.19837191e+04 -2.05153636e+05  1.82e+05 3.68e-16  5.36e+01     0s
   6  -3.38294243e+04 -1.30454309e+05  1.01e+05 2.66e-16  2.75e+01     0s
Read LP format model from file /tmp/linopy-problem-8hml31wo.lp
Reading time = 0.04 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)

Model fingerprint: 0xa7e47716
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [2e-01, 1e+00]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

   7  -3.58692087e+04 -1.05990781e+05  6.66e+04 1.58e-16  1.92e+01     0s
   8  -3.77012781e+04 -9.94185538e+04  5.26e+04 1.30e-16  1.66e+01     0s
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.04s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

   9  -4.17721893e+04 -8.99740319e+04  3.72e+04 1.07e-16  1.27e+01     0s
Ordering time: 0.01s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
  10  -4.22110796e+04 -8.54495125e+04  3.57e+04 6.35e-17  1.14e+01     0s

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -1.06617948e+04 -1.09516645e+07  7.39e+08 1.15e-01  2.15e+05     0s
   1  -2.72024693e+05 -9.61473801e+06  1.06e+08 2.24e-01  1.05e+05     0s
  11  -4.14730889e+04 -8.10883081e+04  2.83e+04 1.32e-16  1.03e+01     0s
   2  -1.83792027e+05 -3.47979761e+06  5.68e+07 2.45e-03  1.68e+04     0s
  12  -4.55034311e+04 -7.45845000e+04  1.69e+04 1.05e-16  7.43e+00     0s
   3  -2.23559804e+04 -1.60105872e+06  1.52e+06 4.68e-05  7.85e+02     0s
   4  -2.10620254e+04 -4.30028790e+05  4.45e+05 1.15e-15  1.58e+02     0s
  13  -4.70047754e+04 -7.13077835e+04  1.38e+04 9.64e-17  6.19e+00     0s
   5  -2.33074192e+04 -1.89684652e+05  1.58e+05 4.66e-16  5.07e+01     0s
   6  -2.60787802e+04 -1.17764130e+05  1.08e+05 2.47e-16  2.72e+01     0s
   7  -2.88965448e+04 -9.96670087e+04  7.72e+04 2.04e-16  2.02e+01     0s

  14  -4.89308913e+04 -5.92862749e+04  8.26e+03 7.63e-17  2.69e+00     0s
   8  -3.28450297e+04 -8.91689071e+04  5.29e+04 2.05e-16  1.56e+01     0s
  15  -4.87034591e+04 -5.86310623e+04  7.68e+03 7.09e-17  2.57e+00     1s
   9  -3.63303425e+04 -8.13941800e+04  4.26e+04 1.26e-16  1.24e+01     0s
  16  -5.04930230e+04 -5.67795718e+04  3.78e+03 6.29e-17  1.60e+00     1s
  10  -3.66752507e+04 -7.53820149e+04  3.70e+04 1.47e-16  1.05e+01     0s
  17  -5.05050487e+04 -5.66322820e+04  3.72e+03 3.23e-17  1.56e+00     1s
  11  -4.12711507e+04 -6.61630944e+04  2.05e+04 9.66e-17  6.62e+00     0s
  18  -5.07430533e+04 -5.64186001e+04  2.97e+03 5.47e-17  1.44e+00     1s
  12  -4.21032539e+04 -5.95628311e+04  1.76e+04 5.98e-17  4.72e+00     0s
  19  -5.12457498e+04 -5.39684046e+04  9.32e+02 5.50e-17  6.77e-01     1s
  13  -4.36382016e+04 -5.73050120e+04  1.20e+04 5.32e-17  3.64e+00     0s
  20  -5.13891315e+04 -5.27897904e+04  6.82e+02 3.69e-10  3.52e-01     1s
  14  -4.40999902e+04 -5.64464094e+04  8.52e+03 6.19e-17  3.22e+00     0s
  21  -5.14841628e+04 -5.22375575e+04  4.82e+02 6.10e-09  1.91e-01     1s
  15  -4.48455051e+04 -5.12350282e+04  5.87e+03 5.25e-17  1.70e+00     0s

  22  -5.16267842e+04 -5.19363844e+04  1.99e+02 7.90e-09  7.85e-02     1s

  16  -4.58314921e+04 -4.73362681e+04  1.18e+03 1.77e-09  3.92e-01     0s
  23  -5.17012398e+04 -5.18008595e+04  5.31e+01 1.62e-09  2.50e-02     1s
  17  -4.63745506e+04 -4.66961684e+04  2.74e+02 1.03e-08  8.41e-02     0s
  24  -5.17117768e+04 -5.17659886e+04  3.38e+01 1.93e-10  1.37e-02     1s
  18  -4.65169809e+04 -4.66093795e+04  6.08e+01 6.43e-09  2.37e-02     0s
  25  -5.17173692e+04 -5.17562764e+04  2.42e+01 1.61e-10  9.85e-03     1s
  19  -4.65572325e+04 -4.65846976e+04  4.46e+00 4.38e-09  6.71e-03     0s
  26  -5.17306809e+04 -5.17342516e+04  4.13e-01 2.05e-10  8.69e-04     1s
  20  -4.65595223e+04 -4.65625586e+04  1.48e+00 3.16e-10  7.63e-04     1s
  27  -5.17309569e+04 -5.17313821e+04  2.10e-01 1.97e-10  1.06e-04     1s
  21  -4.65612096e+04 -4.65622801e+04  5.43e-02 4.15e-10  2.56e-04     1s
  28  -5.17311698e+04 -5.17312298e+04  4.06e-02 7.15e-11  1.52e-05     1s
  22  -4.65612635e+04 -4.65612637e+04  2.21e-06 2.51e-12  1.95e-08     1s
  29  -5.17312192e+04 -5.17312202e+04  3.66e-06 6.55e-11  2.42e-07     1s
  23  -4.65612635e+04 -4.65612635e+04  9.31e-09 2.12e-15  1.95e-11     1s

Barrier solved model in 23 iterations and 0.60 seconds (0.15 work units)
Optimal objective -4.65612635e+04

Crossover log...

  30  -5.17312195e+04 -5.17312195e+04  1.77e-08 4.36e-14  2.42e-10     1s

Barrier solved model in 30 iterations and 0.88 seconds (0.18 work units)
Optimal objective -5.17312195e+04

Crossover log...

       8 DPushes remaining with DInf 0.0000000e+00                 1s
       5 DPushes remaining with DInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    1791 PPushes remaining with PInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    1988 PPushes remaining with PInf 0.0000000e+00                 1s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 1.1050189e-15      1s

Crossover time: 0.20 seconds (0.06 work units)
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 8.8210689e-16      1s


Solved with barrier
Crossover time: 0.20 seconds (0.06 work units)

Solved with barrier
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1996   -5.1731219e+04   0.000000e+00   0.000000e+00      1s

Solved in 1996 iterations and 1.09 seconds (0.25 work units)
Optimal objective -5.173121946e+04

Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1802   -4.6561264e+04   0.000000e+00   0.000000e+00      1s

Solved in 1802 iterations and 0.84 seconds (0.21 work units)
Optimal objective -4.656126351e+04

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)
/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(
/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)
/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(
/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Read LP format model from file /tmp/linopy-problem-lboj5jc6.lp
Reading time = 0.10 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x15645eba
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [6e-01, 8e-01]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.07s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.02s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -7.29276877e+03 -1.20175765e+07  7.39e+08 6.29e-02  1.18e+05     0s
   1  -2.91410237e+05 -1.11217312e+07  1.13e+08 1.16e-01  6.03e+04     0s
   2  -1.96361237e+05 -3.88059236e+06  6.20e+07 2.12e-03  9.81e+03     0s
   3  -9.18913467e+03 -1.72960210e+06  2.30e+06 1.21e-04  5.45e+02     0s
   4  -5.19325530e+03 -5.48209605e+05  4.44e+05 3.25e-06  1.03e+02     0s
   5  -6.75936569e+03 -2.38195542e+05  1.37e+05 4.18e-07  3.42e+01     0s

   6  -9.66920106e+03 -9.83707589e+04  9.00e+04 1.55e-16  1.31e+01     0s
   7  -1.23579889e+04 -7.14829930e+04  6.85e+04 1.05e-16  8.56e+00     0s
   8  -1.68031956e+04 -6.50817232e+04  3.65e+04 1.00e-16  6.56e+00     0s
   9  -1.94673890e+04 -4.98586928e+04  2.57e+04 6.42e-17  4.12e+00     0s
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
  10  -2.06479658e+04 -4.88511996e+04  2.21e+04 3.99e-09  3.79e+00     0s
  11  -2.27493398e+04 -4.41141485e+04  1.56e+04 2.66e-08  2.85e+00     1s

  12  -2.39616544e+04 -4.29204289e+04  1.33e+04 4.09e-08  2.52e+00     1s
Read LP format model from file /tmp/linopy-problem-pijwmakb.lp
Reading time = 0.10 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x1e14994f
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [6e-01, 8e-01]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

  13  -2.46473299e+04 -3.65277901e+04  1.12e+04 1.45e-07  1.62e+00     1s
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.04s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

  14  -2.52178770e+04 -3.56687065e+04  8.13e+03 1.56e-07  1.40e+00     1s
Ordering time: 0.02s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
  15  -2.59723969e+04 -3.47063564e+04  6.02e+03 1.44e-07  1.16e+00     1s

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -4.93358168e+04 -1.66386585e+07  7.39e+08 8.71e-02  1.63e+05     0s
   1  -7.24200462e+05 -1.56139824e+07  1.10e+08 1.75e-01  8.62e+04     0s
  16  -2.62273322e+04 -3.37344803e+04  5.31e+03 1.23e-07  9.98e-01     1s
   2  -6.20042449e+05 -5.73148984e+06  6.33e+07 3.27e-03  1.50e+04     0s
  17  -2.65605567e+04 -3.31495334e+04  4.17e+03 1.30e-07  8.70e-01     1s

   3  -5.73147217e+04 -2.51393995e+06  2.23e+06 1.33e-04  7.80e+02     0s
  18  -2.74641251e+04 -3.03135590e+04  7.49e+02 1.44e-07  3.67e-01     1s
   4  -4.72471864e+04 -8.03016118e+05  5.09e+05 1.10e-15  1.53e+02     0s
   5  -4.70035638e+04 -4.12226650e+05  1.72e+05 5.42e-16  5.61e+01     0s
  19  -2.76086596e+04 -2.78922794e+04  3.29e+02 8.62e-08  4.66e-02     1s
   6  -4.84370288e+04 -1.62997920e+05  1.01e+05 1.72e-16  1.71e+01     0s
   7  -5.17498344e+04 -1.32206045e+05  5.98e+04 9.15e-17  1.12e+01     0s
  20  -2.76979157e+04 -2.78217830e+04  8.72e+01 6.37e-08  2.18e-02     1s
   8  -5.47565051e+04 -1.00071785e+05  3.71e+04 9.83e-17  6.12e+00     0s
  21  -2.77300294e+04 -2.77389235e+04  5.34e-01 2.32e-08  3.16e-03     1s
   9  -5.64071381e+04 -9.35797637e+04  3.01e+04 9.23e-17  4.99e+00     0s
  10  -5.74058870e+04 -8.66255438e+04  2.64e+04 5.96e-17  3.95e+00     0s
  22  -2.77318213e+04 -2.77117797e+04  6.06e-08 2.89e-08  2.15e-04     1s
  11  -6.16822270e+04 -7.78901757e+04  1.53e+04 4.50e-17  2.19e+00     0s

  12  -6.30769199e+04 -7.42671027e+04  1.15e+04 3.81e-17  1.52e+00     0s
  13  -6.44573357e+04 -7.32238967e+04  7.93e+03 3.75e-17  1.18e+00     0s
  23  -2.77319304e+04 -2.77223773e+04  5.61e-08 1.38e-08  1.05e-04     1s
  14  -6.53286671e+04 -6.74529528e+04  5.18e+03 1.71e-08  3.35e-01     0s
  15  -6.60673631e+04 -6.70874089e+04  2.12e+03 2.40e-08  1.54e-01     0s
  24  -2.77322749e+04 -2.77203237e+04  7.10e-07 1.63e-08  3.43e-05     1s
  16  -6.63759422e+04 -6.68427120e+04  8.87e+02 2.07e-08  7.05e-02     1s
  17  -6.65698843e+04 -6.66209355e+04  1.19e+02 7.19e-09  7.69e-03     1s
  25  -2.77322973e+04 -2.77319248e+04  2.89e-08 6.83e-10  9.94e-06     1s
  18  -6.66009960e+04 -6.66048630e+04  1.27e+00 2.89e-09  3.85e-04     1s
  19  -6.66019663e+04 -6.66029704e+04  4.98e-02 2.38e-09  3.68e-05     1s
  26  -2.77323391e+04 -2.77287100e+04  3.69e-07 5.49e-09  3.44e-06     1s

  20  -6.66020281e+04 -6.66023082e+04  4.30e-04 9.17e-10  1.36e-06     1s
  27  -2.77323635e+04 -2.77304272e+04  3.55e-07 2.65e-09  3.33e-07     1s
  21  -6.66020289e+04 -6.66020289e+04  3.45e-08 1.90e-13  1.36e-09     1s

Barrier solved model in 21 iterations and 0.63 seconds (0.14 work units)
Optimal objective -6.66020289e+04

  28  -2.77323658e+04 -2.77322818e+04  6.54e-08 1.14e-10  8.73e-09     1s
Crossover log...


Barrier solved model in 28 iterations and 1.20 seconds (0.19 work units)
Optimal objective -2.77323658e+04

Crossover log...

     338 DPushes remaining with DInf 0.0000000e+00                 1s
       4 DPushes remaining with DInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    1956 PPushes remaining with PInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    2143 PPushes remaining with PInf 0.0000000e+00                 1s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 1.5456386e-15      1s

Crossover time: 0.28 seconds (0.09 work units)

Solved with barrier
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 1.7737548e-15      1s

Crossover time: 0.33 seconds (0.11 work units)

Solved with barrier
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1963   -2.7732366e+04   0.000000e+00   0.000000e+00      2s

Solved in 1963 iterations and 1.52 seconds (0.28 work units)
Optimal objective -2.773236587e+04
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    2484   -6.6602029e+04   0.000000e+00   0.000000e+00      1s

Solved in 2484 iterations and 0.99 seconds (0.25 work units)
Optimal objective -6.660202891e+04

Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Read LP format model from file /tmp/linopy-problem-jxu7_qvy.lp
Reading time = 0.10 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x76fe64a6
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [5e-01, 8e-01]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Read LP format model from file /tmp/linopy-problem-5iy7kgpw.lp
Reading time = 0.13 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x1f731ef6
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [1e-01, 1e+00]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.10s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.05s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.01s
Ordering time: 0.02s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -4.15094538e+04 -2.07335110e+07  7.39e+08 2.17e-01  4.07e+05     0s

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -4.27369783e+04 -1.09761842e+07  7.39e+08 5.75e-02  1.08e+05     0s
   1  -7.01354608e+05 -1.93145770e+07  1.12e+08 4.30e-01  2.11e+05     0s
   1  -6.59563869e+05 -9.64543907e+06  1.07e+08 1.13e-01  5.34e+04     0s
   2  -5.94705693e+05 -6.85403410e+06  6.27e+07 7.95e-03  3.53e+04     0s
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
   2  -4.25385412e+05 -3.87332804e+06  5.80e+07 1.40e-03  9.22e+03     0s
   3  -4.99457681e+04 -3.00222627e+06  2.41e+06 3.86e-04  1.96e+03     0s
   4  -3.77918567e+04 -9.95429938e+05  4.71e+05 3.67e-06  3.73e+02     0s
   3  -4.31653123e+04 -1.63628680e+06  1.41e+06 4.20e-05  3.96e+02     0s
   5  -3.81629655e+04 -4.72266810e+05  1.59e+05 8.45e-16  1.31e+02     0s

Read LP format model from file /tmp/linopy-problem-vzsuqk6k.lp
Reading time = 0.07 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
   4  -4.08036065e+04 -5.53259245e+05  5.34e+05 7.38e-16  1.04e+02     0s
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0xa9cadc71
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [3e-01, 9e-01]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

   6  -4.17203434e+04 -1.88512261e+05  7.72e+04 4.78e-16  4.20e+01     0s
   7  -4.50459169e+04 -1.37002174e+05  5.83e+04 3.15e-16  2.58e+01     0s
   5  -4.11097570e+04 -2.72421392e+05  1.84e+05 2.27e-16  3.57e+01     0s
   8  -5.24432472e+04 -1.14965877e+05  1.34e+04 3.13e-16  1.58e+01     0s
   9  -5.68389675e+04 -1.03871548e+05  9.74e+03 2.54e-16  1.18e+01     0s
   6  -4.23784805e+04 -1.33699683e+05  9.22e+04 1.26e-16  1.29e+01     0s
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.06s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

  10  -5.89427709e+04 -9.79690140e+04  8.17e+03 2.31e-16  9.81e+00     0s
   7  -4.51996756e+04 -9.96295058e+04  4.18e+04 8.92e-17  7.17e+00     0s
  11  -6.08043801e+04 -9.19849818e+04  6.59e+03 2.14e-16  7.83e+00     0s
   8  -4.68616877e+04 -8.76612595e+04  3.51e+04 6.59e-17  5.34e+00     0s
Ordering time: 0.02s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
  12  -6.25840675e+04 -8.29685877e+04  4.98e+03 1.59e-16  5.14e+00     0s
   9  -4.69447974e+04 -8.52036120e+04  3.43e+04 6.84e-17  5.01e+00     0s
  13  -6.41440889e+04 -7.95956676e+04  3.28e+03 1.39e-16  3.87e+00     0s

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0   5.46047904e+03 -8.49418387e+06  7.39e+08 4.30e-02  8.34e+04     0s
  10  -4.91628946e+04 -6.65635332e+04  1.58e+04 3.77e-17  2.24e+00     0s
  14  -6.56773989e+04 -7.22987244e+04  1.67e+03 1.31e-16  1.67e+00     0s
   1  -1.06215535e+05 -7.85521063e+06  1.13e+08 8.29e-02  4.25e+04     0s
  11  -5.12227238e+04 -5.95686829e+04  8.06e+03 3.25e-17  1.07e+00     0s
  15  -6.65242496e+04 -7.16697729e+04  7.93e+02 1.43e-16  1.28e+00     0s
   2  -3.02981026e+04 -2.70116935e+06  6.15e+07 1.44e-03  6.80e+03     0s
  12  -5.25232807e+04 -5.63419742e+04  3.74e+03 2.87e-17  4.90e-01     1s

  13  -5.29254461e+04 -5.48412618e+04  2.48e+03 2.98e-17  2.51e-01     1s
  16  -6.70188024e+04 -6.98163189e+04  3.86e+02 1.72e-16  6.94e-01     0s
  14  -5.32139946e+04 -5.43969246e+04  1.62e+03 5.52e-09  1.56e-01     1s
   3   6.13645198e+03 -1.22425816e+06  2.20e+06 8.92e-05  3.74e+02     0s
  15  -5.33780166e+04 -5.41851548e+04  1.14e+03 1.82e-08  1.06e-01     1s
  17  -6.73561807e+04 -6.78674580e+04  9.83e+01 3.36e-09  1.28e-01     0s
  16  -5.35702002e+04 -5.38281906e+04  5.18e+02 1.94e-08  3.51e-02     1s
   4   6.64211781e+03 -3.95103249e+05  4.66e+05 3.88e-06  7.67e+01     0s
  18  -6.74834837e+04 -6.75115606e+04  9.18e-08 5.09e-10  6.91e-03     1s
  17  -5.36805254e+04 -5.37590506e+04  1.85e+02 4.22e-09  1.10e-02     1s
   5   4.88396802e+03 -1.50393741e+05  1.42e+05 4.82e-07  2.32e+01     0s
  18  -5.36987126e+04 -5.37461952e+04  1.30e+02 2.21e-09  6.75e-03     1s
  19  -5.37422578e+04 -5.37427892e+04  3.76e-08 3.35e-09  1.67e-05     1s
  19  -6.74873490e+04 -6.74878081e+04  2.56e-09 1.49e-10  1.11e-04     1s
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
   6   3.02883528e+03 -6.82407253e+04  1.07e+05 9.45e-17  1.07e+01     0s
  20  -5.37423122e+04 -5.37423124e+04  6.52e-09 1.20e-12  1.67e-08     1s
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
  20  -6.74874413e+04 -6.74874413e+04  1.04e-07 3.19e-13  3.75e-09     1s

Barrier solved model in 20 iterations and 0.59 seconds (0.13 work units)
Optimal objective -6.74874413e+04

  21  -5.37423123e+04 -5.37423123e+04  3.96e-09 4.20e-15  1.67e-11     1s

Barrier solved model in 21 iterations and 0.65 seconds (0.14 work units)
Optimal objective -5.37423123e+04

Crossover log...

   7   3.47634838e+02 -4.65460991e+04  7.16e+04 1.11e-07  6.81e+00     0s
Crossover log...

     932 DPushes remaining with DInf 0.0000000e+00                 1s
   8  -7.59454193e+02 -3.89251779e+04  4.67e+04 1.41e-07  5.33e+00     0s
       4 DPushes remaining with DInf 0.0000000e+00                 1s
   9  -3.68958241e+03 -2.80707699e+04  2.88e+04 2.20e-07  3.34e+00     0s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    2041 PPushes remaining with PInf 0.0000000e+00                 1s

Read LP format model from file /tmp/linopy-problem-8a976hfd.lp
Reading time = 0.09 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
  10  -5.77046833e+03 -2.63115660e+04  2.15e+04 2.53e-07  2.78e+00     0s
Model fingerprint: 0xeebd29a4
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [6e-01, 8e-01]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

  11  -7.27249284e+03 -2.05619975e+04  1.26e+04 2.86e-07  1.78e+00     0s
  12  -8.42605132e+03 -1.99389833e+04  9.21e+03 2.66e-07  1.52e+00     0s
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.07s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

  13  -8.56014766e+03 -1.82548888e+04  8.74e+03 2.38e-07  1.29e+00     0s
       0 PPushes remaining with PInf 0.0000000e+00                 1s
Ordering time: 0.02s

  Push phase complete: Pinf 0.0000000e+00, Dinf 5.3949900e-15      1s

Crossover time: 0.19 seconds (0.06 work units)
  14  -8.90400289e+03 -1.66856544e+04  6.58e+03 2.32e-07  1.04e+00     1s

Solved with barrier

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
  15  -9.42270692e+03 -1.63184773e+04  3.91e+03 2.24e-07  8.98e-01     1s
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    2048   -6.7487441e+04   0.000000e+00   0.000000e+00      1s

Solved in 2048 iterations and 0.80 seconds (0.20 work units)
Optimal objective -6.748744132e+04
  16  -9.85438266e+03 -1.54083596e+04  2.80e+03 1.96e-07  7.21e-01     1s

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -2.11232148e+04 -1.63912085e+07  7.39e+08 8.58e-02  1.61e+05     0s
  17  -9.85946142e+03 -1.50373729e+04  2.62e+03 1.93e-07  6.73e-01     1s
   1  -4.73576752e+05 -1.51814937e+07  1.13e+08 1.64e-01  8.25e+04     0s
  18  -1.01761065e+04 -1.44066658e+04  1.27e+03 1.82e-07  5.43e-01     1s
  19  -1.05484628e+04 -1.25619525e+04  3.18e+02 1.31e-07  2.59e-01     1s
   2  -3.65939306e+05 -5.32414421e+06  6.23e+07 2.98e-03  1.35e+04     0s

  20  -1.06309499e+04 -1.15992721e+04  1.72e+02 1.46e-07  1.35e-01     1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    2346 PPushes remaining with PInf 0.0000000e+00                 1s
   3  -2.56624443e+04 -2.33367284e+06  2.38e+06 1.66e-04  7.55e+02     0s
  21  -1.06951206e+04 -1.12246888e+04  7.75e+01 8.12e-08  7.38e-02     1s
  22  -1.07297834e+04 -1.08971156e+04  3.59e+01 7.14e-08  2.88e-02     1s
  23  -1.07442131e+04 -1.08340985e+04  1.56e+01 4.83e-08  1.66e-02     1s
   4  -1.79432344e+04 -7.15965027e+05  4.42e+05 2.17e-06  1.34e+02     0s
  24  -1.07513362e+04 -1.07873846e+04  5.93e+00 3.37e-08  8.37e-03     1s
  25  -1.07559898e+04 -1.07741715e+04  8.49e-03 2.11e-08  4.68e-03     1s
   5  -1.93737771e+04 -3.23584554e+05  1.34e+05 1.04e-07  4.49e+01     0s
       0 PPushes remaining with PInf 0.0000000e+00                 1s
  26  -1.07563457e+04 -1.07516342e+04  6.26e-08 5.89e-09  1.20e-04     1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 1.0425688e-15      1s

Crossover time: 0.40 seconds (0.27 work units)
   6  -2.44933387e+04 -1.39833852e+05  7.02e+04 2.48e-16  1.65e+01     0s

Solved with barrier
  27  -1.07566542e+04 -1.07565139e+04  3.59e-08 1.66e-10  2.48e-06     1s
   7  -2.73164424e+04 -9.28488157e+04  5.51e+04 1.36e-16  9.31e+00     0s
  28  -1.07566550e+04 -1.07562952e+04  2.89e-08 4.28e-10  1.06e-07     1s
   8  -3.37396584e+04 -8.69313761e+04  2.93e+04 9.22e-17  7.14e+00     0s
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    3281   -5.3742312e+04   0.000000e+00   0.000000e+00      1s

Solved in 3281 iterations and 1.11 seconds (0.41 work units)
Optimal objective -5.374231227e+04
   9  -3.79036398e+04 -7.29243518e+04  1.81e+04 1.14e-16  4.63e+00     0s
  29  -1.07566553e+04 -1.07563808e+04  3.86e-08 3.02e-10  1.54e-08     1s

  30  -1.07566554e+04 -1.07563344e+04  6.98e-08 3.61e-10  1.65e-09     1s

Barrier solved model in 30 iterations and 0.84 seconds (0.20 work units)
Optimal objective -1.07566554e+04

  10  -3.91627381e+04 -6.61770826e+04  1.51e+04 6.83e-17  3.58e+00     0s
Crossover log...

  11  -4.07937116e+04 -6.21160924e+04  1.21e+04 4.88e-17  2.82e+00     0s
       4 DPushes remaining with DInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    1730 PPushes remaining with PInf 0.0000000e+00                 1s
  12  -4.10156565e+04 -5.78035031e+04  1.16e+04 6.00e-17  2.26e+00     0s
  13  -4.18171083e+04 -5.68980470e+04  1.04e+04 6.14e-17  2.03e+00     1s
  14  -4.25983024e+04 -5.33721643e+04  7.77e+03 4.87e-08  1.46e+00     1s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 5.2388649e-16      1s

Crossover time: 0.14 seconds (0.06 work units)
  15  -4.33795529e+04 -4.97764062e+04  5.60e+03 1.08e-07  8.88e-01     1s

Solved with barrier
  16  -4.41740347e+04 -4.76453385e+04  3.25e+03 1.05e-07  4.89e-01     1s
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1737   -1.0756655e+04   0.000000e+00   0.000000e+00      1s

Solved in 1737 iterations and 1.01 seconds (0.26 work units)
Optimal objective -1.075665538e+04
  17  -4.49350586e+04 -4.65399580e+04  7.86e+02 8.88e-08  2.16e-01     1s
  18  -4.51982108e+04 -4.52476011e+04  7.35e+01 3.43e-08  9.97e-03     1s

  19  -4.52337520e+04 -4.52347586e+04  1.51e-03 3.19e-09  3.64e-04     1s
  20  -4.52345471e+04 -4.52297655e+04  1.59e-05 8.57e-09  6.98e-05     1s
  21  -4.52345750e+04 -4.52341621e+04  5.63e-07 6.82e-10  7.16e-07     1s
  22  -4.52345766e+04 -4.52345076e+04  5.54e-08 1.15e-10  4.18e-09     1s

Barrier solved model in 22 iterations and 0.73 seconds (0.14 work units)
Optimal objective -4.52345766e+04

Crossover log...

       5 DPushes remaining with DInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    1983 PPushes remaining with PInf 0.0000000e+00                 1s

       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 2.4216740e-15      1s

Crossover time: 0.20 seconds (0.06 work units)

Solved with barrier
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1991   -4.5234577e+04   0.000000e+00   0.000000e+00      1s

Solved in 1991 iterations and 0.96 seconds (0.21 work units)
Optimal objective -4.523457661e+04

Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Read LP format model from file /tmp/linopy-problem-pkrxpsqw.lp
Reading time = 0.14 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0xc3e82591
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [2e-01, 1e+00]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Read LP format model from file /tmp/linopy-problem-aenqi33r.lp
Reading time = 0.09 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.07s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Model fingerprint: 0x188a5a91
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [7e-01, 8e-01]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Ordering time: 0.02s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0   3.80247408e+04 -5.52066512e+06  7.39e+08 3.10e-02  1.08e+05     0s
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.10s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

   1   1.21509128e+05 -5.31214702e+06  1.10e+08 1.17e-01  5.80e+04     0s
   2   1.77618165e+05 -1.90914318e+06  5.84e+07 1.73e-03  8.47e+03     0s
Ordering time: 0.02s
   3   2.19781830e+04 -8.68227176e+05  2.85e+06 1.12e-04  5.90e+02     0s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
   4   1.53114258e+04 -2.56578598e+05  4.15e+05 1.28e-15  1.01e+02     0s

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -1.95889567e+04 -1.59477898e+07  7.39e+08 8.35e-02  1.57e+05     0s

   1  -4.54084763e+05 -1.47697680e+07  1.13e+08 1.57e-01  8.02e+04     0s
   5   1.20870836e+04 -1.17712024e+05  1.87e+05 1.82e-16  4.08e+01     0s
   2  -3.47282117e+05 -5.17742303e+06  6.22e+07 2.89e-03  1.31e+04     0s
   6   8.80985424e+03 -5.47885840e+04  1.27e+05 1.45e-16  1.99e+01     0s

   3  -2.38092501e+04 -2.26922773e+06  2.37e+06 1.62e-04  7.34e+02     0s
   7   4.93380098e+03 -3.91275844e+04  7.95e+04 1.30e-16  1.32e+01     0s
   8   2.51256820e+03 -3.59864824e+04  6.20e+04 1.23e-16  1.12e+01     0s
   4  -1.64818118e+04 -7.01641077e+05  4.38e+05 3.12e-06  1.31e+02     0s
   9   2.63365643e+03 -2.65477005e+04  4.38e+04 1.35e-16  8.27e+00     0s
   5  -1.79362877e+04 -3.18081509e+05  1.33e+05 2.22e-07  4.43e+01     0s
  10  -6.97366014e+02 -1.90443812e+04  2.49e+04 2.50e-16  5.08e+00     0s
   6  -2.26863901e+04 -1.34347751e+05  7.35e+04 2.86e-16  1.61e+01     0s
  11  -8.25518339e+02 -1.88305372e+04  2.15e+04 9.75e-17  4.91e+00     0s

   7  -2.56912322e+04 -9.08512717e+04  5.75e+04 1.34e-16  9.31e+00     0s
  12  -2.17792460e+03 -1.74844765e+04  1.54e+04 6.30e-17  4.09e+00     1s
   8  -3.21579400e+04 -8.02718696e+04  2.35e+04 1.05e-16  6.35e+00     0s
  13  -1.37381375e+03 -1.73173215e+04  1.28e+04 1.09e-16  4.17e+00     1s

   9  -3.48937756e+04 -7.25457736e+04  1.85e+04 5.26e-17  4.95e+00     0s
  14  -2.92756608e+03 -1.33546451e+04  7.54e+03 7.57e-17  2.70e+00     1s
  10  -3.67582412e+04 -6.57349966e+04  1.46e+04 6.47e-17  3.80e+00     1s
  15  -3.15870020e+03 -1.31539233e+04  6.65e+03 2.44e-16  2.57e+00     1s
  11  -3.89362568e+04 -5.96124202e+04  1.05e+04 4.31e-17  2.71e+00     1s
  16  -3.51164668e+03 -1.23569484e+04  5.56e+03 3.40e-16  2.27e+00     1s
  12  -3.91810988e+04 -5.83632869e+04  9.95e+03 3.41e-17  2.52e+00     1s
  13  -3.99681805e+04 -5.66824951e+04  7.25e+03 4.96e-17  2.16e+00     1s
  17  -4.26751236e+03 -8.47621446e+03  8.89e+02 3.17e-16  1.03e+00     1s

  18  -4.51037783e+03 -5.58554523e+03  5.19e+02 1.92e-09  2.71e-01     1s
  14  -4.13899360e+04 -4.82634704e+04  4.33e+03 1.04e-07  9.19e-01     1s
  19  -4.58637096e+03 -5.03090094e+03  4.13e+02 2.64e-16  1.16e-01     1s
  15  -4.22817690e+04 -4.59784274e+04  2.56e+03 1.04e-07  5.02e-01     1s

  16  -4.24686947e+04 -4.53347510e+04  2.12e+03 9.71e-08  3.93e-01     1s
  20  -4.72834713e+03 -4.92504831e+03  2.11e+02 3.69e-09  5.21e-02     1s
  21  -4.84610416e+03 -4.89267400e+03  4.62e+01 4.70e-09  1.21e-02     1s
  17  -4.28419487e+04 -4.46340208e+04  1.25e+03 7.78e-08  2.45e-01     1s
  18  -4.32938944e+04 -4.34342811e+04  9.58e+01 1.90e-08  2.03e-02     1s
  22  -4.86084418e+03 -4.88404534e+03  2.52e+01 2.98e-09  6.03e-03     1s
  19  -4.33568647e+04 -4.33602009e+04  3.30e+00 1.37e-08  1.54e-03     1s
  23  -4.87758325e+03 -4.88009994e+03  2.34e+00 2.94e-09  5.73e-04     1s
  20  -4.33595610e+04 -4.33578139e+04  1.53e-01 3.35e-09  4.84e-05     1s
  21  -4.33597252e+04 -4.33596958e+04  1.40e-07 4.88e-11  8.22e-08     1s
  24  -4.87938583e+03 -4.87973575e+03  6.18e-02 1.03e-09  5.67e-05     1s
  22  -4.33597254e+04 -4.33597254e+04  2.03e-08 4.47e-14  8.22e-11     1s

Barrier solved model in 22 iterations and 0.84 seconds (0.14 work units)
Optimal objective -4.33597254e+04

Crossover log...

  25  -4.87946850e+03 -4.87951992e+03  2.15e-04 4.32e-10  9.37e-07     1s
  26  -4.87946920e+03 -4.87946922e+03  7.12e-09 2.02e-13  9.37e-10     1s

Barrier solved model in 26 iterations and 0.94 seconds (0.16 work units)
Optimal objective -4.87946920e+03

       5 DPushes remaining with DInf 0.0000000e+00                 1s
Crossover log...

       0 DPushes remaining with DInf 0.0000000e+00                 1s

    1941 PPushes remaining with PInf 0.0000000e+00                 1s

      16 DPushes remaining with DInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    1440 PPushes remaining with PInf 4.3181835e-05                 1s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 3.1068897e-15      1s

Crossover time: 0.12 seconds (0.07 work units)

Solved with barrier
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1949   -4.3359725e+04   0.000000e+00   0.000000e+00      1s

Solved in 1949 iterations and 0.98 seconds (0.22 work units)
Optimal objective -4.335972543e+04

       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 1.6202317e-15      1s

Crossover time: 0.22 seconds (0.05 work units)

Solved with barrier
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1459   -4.8794692e+03   0.000000e+00   0.000000e+00      1s

Solved in 1459 iterations and 1.18 seconds (0.22 work units)
Optimal objective -4.879469197e+03

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)
/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Read LP format model from file /tmp/linopy-problem-dshm__pr.lp
Reading time = 0.05 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0xdcf7a554
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [5e-01, 8e-01]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.03s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.02s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -2.58270421e+04 -1.76745576e+07  7.39e+08 9.25e-02  1.74e+05     0s
   1  -5.31179057e+05 -1.63807903e+07  1.13e+08 1.81e-01  8.91e+04     0s
   2  -4.22175597e+05 -5.75426114e+06  6.24e+07 3.24e-03  1.46e+04     0s
   3  -3.13376074e+04 -2.52229890e+06  2.39e+06 1.76e-04  8.20e+02     0s

   4  -2.23522189e+04 -7.64037641e+05  4.33e+05 2.81e-06  1.41e+02     0s
   5  -2.36908837e+04 -3.38995018e+05  1.39e+05 3.25e-08  4.70e+01     0s
   6  -2.89208017e+04 -1.48002095e+05  7.44e+04 3.09e-16  1.72e+01     0s
   7  -3.24927850e+04 -9.90262265e+04  5.85e+04 1.80e-16  9.57e+00     0s
   8  -3.69406621e+04 -9.46147422e+04  4.26e+04 1.88e-16  8.06e+00     0s
   9  -3.94292069e+04 -8.08357211e+04  3.31e+04 1.74e-16  5.77e+00     0s
  10  -4.17686440e+04 -7.77521596e+04  2.82e+04 1.50e-16  4.99e+00     0s
  11  -4.28506219e+04 -6.97623759e+04  2.54e+04 1.05e-16  3.80e+00     0s
  12  -4.42955799e+04 -6.83148192e+04  2.18e+04 1.25e-16  3.37e+00     0s
  13  -4.66160483e+04 -6.26131210e+04  1.44e+04 9.26e-17  2.24e+00     0s
  14  -4.77256993e+04 -5.89400194e+04  1.08e+04 2.87e-08  1.58e+00     0s
  15  -4.92685919e+04 -5.60499641e+04  5.43e+03 8.76e-08  9.37e-01     0s
  16  -4.99200976e+04 -5.26341373e+04  3.22e+03 1.27e-07  4.01e-01     0s
  17  -5.06241859e+04 -5.16024636e+04  5.75e+02 9.96e-08  1.37e-01     0s
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
  18  -5.07813834e+04 -5.11558402e+04  1.22e+02 7.22e-08  5.28e-02     0s
  19  -5.08268909e+04 -5.09072224e+04  3.45e+01 6.83e-08  1.55e-02     0s
  20  -5.08441493e+04 -5.08798899e+04  1.89e-01 3.94e-08  7.28e-03     0s
  21  -5.08460978e+04 -5.08294190e+04  5.70e-03 3.49e-08  6.36e-04     0s
  22  -5.08463336e+04 -5.08449818e+04  1.71e-06 2.40e-09  1.57e-05     0s
  23  -5.08463734e+04 -5.08463741e+04  1.90e-07 4.64e-11  6.21e-08     0s
  24  -5.08463734e+04 -5.08463729e+04  7.80e-08 8.17e-13  1.31e-11     0s

Barrier solved model in 24 iterations and 0.32 seconds (0.15 work units)
Optimal objective -5.08463734e+04

Crossover log...

       5 DPushes remaining with DInf 0.0000000e+00                 0s
       0 DPushes remaining with DInf 0.0000000e+00                 0s

    1975 PPushes remaining with PInf 0.0000000e+00                 0s
Read LP format model from file /tmp/linopy-problem-buk9o3o2.lp
Reading time = 0.09 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x97656676
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [2e-01, 1e+00]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

       0 PPushes remaining with PInf 0.0000000e+00                 0s

  Push phase complete: Pinf 0.0000000e+00, Dinf 1.1917550e-15      0s

Crossover time: 0.07 seconds (0.06 work units)

Solved with barrier
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.04s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1983   -5.0846373e+04   0.000000e+00   0.000000e+00      0s

Solved in 1983 iterations and 0.40 seconds (0.22 work units)
Optimal objective -5.084637343e+04
Ordering time: 0.01s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0   1.09816256e+04 -5.12365843e+06  7.39e+08 5.32e-02  1.01e+05     0s
   1  -3.63788526e+04 -4.72861845e+06  1.13e+08 1.04e-01  5.11e+04     0s
   2   2.03836277e+04 -1.61157814e+06  6.08e+07 1.56e-03  8.01e+03     0s
   3   1.06970163e+04 -7.18319227e+05  2.22e+06 8.87e-05  4.45e+02     0s
   4   9.94448363e+03 -2.37389041e+05  4.86e+05 3.61e-06  9.57e+01     0s
   5   8.13487137e+03 -9.65832028e+04  1.70e+05 6.02e-07  3.25e+01     0s
   6   6.62100803e+03 -5.43239046e+04  1.22e+05 1.87e-07  1.85e+01     0s
   7   4.93835718e+03 -3.76543751e+04  8.89e+04 1.95e-07  1.27e+01     0s
   8   2.43545373e+03 -2.80897459e+04  2.61e+04 2.14e-07  8.04e+00     0s
   9   7.34806710e+02 -2.01277372e+04  1.75e+04 2.84e-07  5.46e+00     0s
  10  -3.79596131e+02 -1.74089697e+04  1.29e+04 3.06e-07  4.43e+00     0s
  11  -7.26592532e+02 -1.59470192e+04  1.14e+04 3.20e-07  3.95e+00     0s
  12  -1.30646124e+03 -1.36330594e+04  8.77e+03 3.44e-07  3.20e+00     0s
  13  -1.62989067e+03 -1.12247178e+04  6.53e+03 3.21e-07  2.48e+00     0s

  14  -2.20624301e+03 -7.47081304e+03  4.27e+03 3.06e-07  1.39e+00     0s
  15  -2.21777591e+03 -6.91392185e+03  4.05e+03 3.08e-07  1.24e+00     0s
  16  -2.57476360e+03 -6.70447656e+03  2.83e+03 3.05e-07  1.08e+00     0s
  17  -2.79305911e+03 -6.33068260e+03  1.96e+03 2.94e-07  9.24e-01     0s
  18  -2.83535271e+03 -5.64231545e+03  1.78e+03 2.60e-07  7.41e-01     0s
  19  -2.96789743e+03 -5.40118750e+03  1.32e+03 2.36e-07  6.40e-01     0s
  20  -3.09320527e+03 -4.88982952e+03  7.64e+02 2.05e-07  4.72e-01     0s
  21  -3.16226738e+03 -3.66574364e+03  5.05e+02 9.66e-08  1.42e-01     0s
  22  -3.26742907e+03 -3.42637765e+03  1.02e+02 6.74e-08  4.85e-02     0s
  23  -3.27921081e+03 -3.33845902e+03  6.26e+01 3.71e-08  2.01e-02     0s
  24  -3.28220177e+03 -3.32586359e+03  5.16e+01 2.42e-08  1.45e-02     0s
  25  -3.29569110e+03 -3.30721801e+03  6.15e+00 1.52e-08  4.82e-03     0s
  26  -3.29781572e+03 -3.29141330e+03  6.21e-01 1.50e-08  3.66e-04     0s
  27  -3.29806459e+03 -3.29796522e+03  8.05e-06 2.31e-10  4.91e-06     0s
  28  -3.29808146e+03 -3.29810420e+03  8.91e-07 6.95e-11  1.25e-07     0s
  29  -3.29808149e+03 -3.29808153e+03  1.89e-08 8.87e-14  2.90e-11     0s

Barrier solved model in 29 iterations and 0.34 seconds (0.18 work units)
Optimal objective -3.29808149e+03

Crossover log...

       3 DPushes remaining with DInf 0.0000000e+00                 0s
       0 DPushes remaining with DInf 0.0000000e+00                 0s

    1630 PPushes remaining with PInf 0.0000000e+00                 0s
       0 PPushes remaining with PInf 0.0000000e+00                 0s

  Push phase complete: Pinf 0.0000000e+00, Dinf 2.8779062e-15      0s

Crossover time: 0.07 seconds (0.06 work units)

Solved with barrier
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1636   -3.2980815e+03   0.000000e+00   0.000000e+00      0s

Solved in 1636 iterations and 0.43 seconds (0.24 work units)
Optimal objective -3.298081486e+03
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Read LP format model from file /tmp/linopy-problem-028x2dtx.lp
Reading time = 0.05 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x2949a79a
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [7e-01, 7e-01]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.04s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.01s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -4.78854873e+04 -1.50077322e+07  7.39e+08 7.86e-02  1.47e+05     0s
   1  -7.00400949e+05 -1.35670394e+07  1.10e+08 1.59e-01  7.58e+04     0s
   2  -5.75035743e+05 -5.01045231e+06  6.08e+07 2.47e-03  1.26e+04     0s
   3  -5.31158988e+04 -2.19424337e+06  1.85e+06 1.15e-04  6.11e+02     0s
   4  -4.56703383e+04 -7.00600881e+05  4.83e+05 8.59e-16  1.28e+02     0s
   5  -4.56934648e+04 -3.23374743e+05  1.69e+05 3.33e-16  4.26e+01     0s
   6  -4.74817624e+04 -1.57191973e+05  9.74e+04 2.02e-16  1.58e+01     0s
   7  -5.00126470e+04 -1.22120522e+05  6.13e+04 1.43e-16  9.94e+00     0s
   8  -5.20866183e+04 -1.00925600e+05  4.78e+04 1.18e-16  6.66e+00     0s
   9  -5.39904066e+04 -9.33378723e+04  3.61e+04 8.30e-17  5.29e+00     0s
  10  -5.80624352e+04 -7.62397534e+04  1.95e+04 5.87e-17  2.47e+00     0s
  11  -6.08169107e+04 -6.80538773e+04  7.68e+03 6.80e-17  9.73e-01     0s
  12  -6.18066586e+04 -6.52352619e+04  4.28e+03 3.88e-17  4.69e-01     0s
  13  -6.22033401e+04 -6.49056467e+04  2.95e+03 5.23e-17  3.64e-01     0s
  14  -6.27080982e+04 -6.44991273e+04  1.07e+03 5.92e-17  2.30e-01     0s
  15  -6.29067145e+04 -6.34627745e+04  3.77e+02 6.44e-17  7.21e-02     0s
  16  -6.29989973e+04 -6.30472924e+04  1.92e-07 5.99e-10  5.85e-03     0s
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
  17  -6.30020427e+04 -6.30041109e+04  2.33e-09 4.32e-09  1.21e-04     0s
  18  -6.30021357e+04 -6.30031464e+04  4.49e-09 3.51e-09  1.91e-05     0s
  19  -6.30021618e+04 -6.30021622e+04  4.89e-08 2.19e-12  3.37e-08     0s
  20  -6.30021620e+04 -6.30021742e+04  1.48e-07 5.15e-11  3.35e-11     0s

Barrier solved model in 20 iterations and 0.23 seconds (0.14 work units)
Optimal objective -6.30021620e+04

Crossover log...

     525 DPushes remaining with DInf 0.0000000e+00                 0s
Read LP format model from file /tmp/linopy-problem-7i5_pp32.lp
Reading time = 0.09 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x46d96060
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [4e-01, 9e-01]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

       0 DPushes remaining with DInf 0.0000000e+00                 0s

    2199 PPushes remaining with PInf 0.0000000e+00                 0s
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.07s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.01s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
       0 PPushes remaining with PInf 0.0000000e+00                 0s

  Push phase complete: Pinf 0.0000000e+00, Dinf 1.0234869e-15      0s

Crossover time: 0.18 seconds (0.17 work units)

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -3.76779731e+04 -1.02949356e+07  7.39e+08 5.39e-02  1.01e+05     0s

Solved with barrier
   1  -5.70362551e+05 -8.75425978e+06  1.06e+08 1.03e-01  4.77e+04     0s
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    2726   -6.3002162e+04   0.000000e+00   0.000000e+00      0s

Solved in 2726 iterations and 0.44 seconds (0.31 work units)
Optimal objective -6.300216196e+04

   2  -3.04366954e+05 -2.66279385e+06  5.43e+07 1.05e-03  5.84e+03     0s
   3  -3.96106538e+04 -1.20468065e+06  1.79e+06 3.60e-05  3.15e+02     0s
   4  -3.64506960e+04 -3.75881094e+05  3.93e+05 4.30e-16  6.21e+01     0s
   5  -3.75814044e+04 -1.91889618e+05  1.54e+05 2.16e-16  2.30e+01     0s
   6  -3.84920698e+04 -1.05813910e+05  1.05e+05 1.44e-16  9.68e+00     0s
   7  -4.01565141e+04 -9.12734918e+04  6.64e+04 9.67e-17  6.99e+00     0s
   8  -4.15229855e+04 -8.48014839e+04  5.21e+04 8.26e-17  5.82e+00     0s
   9  -4.39770357e+04 -8.04341398e+04  3.62e+04 6.41e-17  4.78e+00     0s
  10  -4.54407485e+04 -7.81499780e+04  3.02e+04 5.95e-17  4.26e+00     0s
  11  -4.41607927e+04 -7.54804711e+04  2.76e+04 6.01e-17  4.06e+00     0s
  12  -4.66903737e+04 -7.00334016e+04  1.85e+04 5.28e-17  2.99e+00     0s
  13  -4.88255513e+04 -6.48922936e+04  7.78e+03 4.36e-17  2.00e+00     0s
  14  -5.02094051e+04 -5.87062019e+04  4.81e+03 4.16e-17  1.06e+00     0s
  15  -5.10791066e+04 -5.69001257e+04  2.94e+03 3.09e-17  7.26e-01     0s

  16  -5.13812194e+04 -5.51559138e+04  2.17e+03 1.93e-10  4.74e-01     0s
  17  -5.16213120e+04 -5.39327712e+04  1.46e+03 3.54e-17  2.91e-01     0s
  18  -5.19523109e+04 -5.27831232e+04  6.11e+02 3.38e-17  1.06e-01     0s
  19  -5.21048152e+04 -5.23079907e+04  1.78e+02 1.98e-09  2.62e-02     0s
  20  -5.21577929e+04 -5.22395488e+04  3.33e+01 2.84e-09  1.03e-02     0s
  21  -5.21648421e+04 -5.21882332e+04  1.74e+01 3.85e-09  3.02e-03     0s
  22  -5.21723652e+04 -5.21767788e+04  1.13e-01 2.62e-09  5.58e-04     0s
  23  -5.21726006e+04 -5.21726300e+04  8.04e-08 2.06e-10  4.88e-06     0s
  24  -5.21726142e+04 -5.21726081e+04  7.57e-08 1.48e-10  7.63e-08     0s
  25  -5.21726142e+04 -5.21726142e+04  7.73e-08 1.72e-14  6.44e-13     0s

Barrier solved model in 25 iterations and 0.43 seconds (0.16 work units)
Optimal objective -5.21726142e+04

Crossover log...

     490 DPushes remaining with DInf 0.0000000e+00                 0s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    2112 PPushes remaining with PInf 0.0000000e+00                 1s

       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 6.3924560e-16      1s

Crossover time: 0.16 seconds (0.13 work units)

Solved with barrier
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    2605   -5.2172614e+04   0.000000e+00   0.000000e+00      1s

Solved in 2605 iterations and 0.61 seconds (0.29 work units)
Optimal objective -5.217261417e+04

INFO:pypsa.network.io:Exported network 'Model-Energy' saved to '/tmp/tmpyfzbl3xz.nc contains: buses, stores, loads, generators, links, carriers, sub_networks, storage_units

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)
/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)
/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)
/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(
/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(
/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(
/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Read LP format model from file /tmp/linopy-problem-i0sim7z9.lp
Reading time = 0.10 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x6efa4292
Model has 1 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [1e+00, 1e+00]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.05s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.01s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -2.22959945e+04 -1.12289838e+07  7.39e+08 5.88e-02  1.10e+05     0s
   1  -3.66799375e+05 -9.80870108e+06  1.06e+08 1.14e-01  5.35e+04     0s
   2  -2.48001548e+05 -3.64946820e+06  5.66e+07 1.29e-03  8.70e+03     0s
   3  -2.91690803e+04 -1.67046429e+06  1.40e+06 2.07e-05  3.92e+02     0s
   4  -2.79377241e+04 -4.34942957e+05  4.20e+05 3.85e-16  7.71e+01     0s
   5  -2.96108048e+04 -2.05094882e+05  1.63e+05 2.93e-16  2.68e+01     0s
   6  -3.14743062e+04 -1.39011480e+05  1.05e+05 1.90e-16  1.55e+01     0s
   7  -3.32557504e+04 -1.07754234e+05  7.58e+04 1.01e-16  1.04e+01     0s
   8  -3.57397079e+04 -9.91145712e+04  5.55e+04 1.07e-16  8.62e+00     0s
   9  -4.02457382e+04 -8.99816699e+04  3.88e+04 1.02e-16  6.62e+00     0s
  10  -4.11753250e+04 -8.20894458e+04  3.56e+04 1.03e-16  5.47e+00     0s

  11  -4.36351745e+04 -7.39309980e+04  1.42e+04 8.35e-17  3.85e+00     0s
  12  -4.65905952e+04 -6.97022953e+04  9.70e+03 7.33e-17  2.91e+00     0s
  13  -4.71552255e+04 -6.37844566e+04  8.69e+03 5.41e-17  2.11e+00     0s
  14  -4.88882211e+04 -5.57671363e+04  4.82e+03 4.12e-17  8.89e-01     0s
  15  -4.92899313e+04 -5.52528777e+04  4.04e+03 5.74e-10  7.68e-01     0s
  16  -4.92683161e+04 -5.31339013e+04  3.83e+03 8.91e-09  5.10e-01     0s
  17  -4.99303957e+04 -5.30378279e+04  2.17e+03 1.01e-08  3.99e-01     0s
  18  -5.03261782e+04 -5.15304614e+04  1.03e+03 2.47e-08  1.56e-01     0s
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
  19  -5.05683231e+04 -5.10891638e+04  3.85e+02 2.45e-08  6.68e-02     0s
  20  -5.06739298e+04 -5.08495903e+04  1.20e+02 1.24e-08  2.24e-02     0s
  21  -5.07186440e+04 -5.07478861e+04  1.22e+01 3.04e-09  3.63e-03     1s

  22  -5.07242510e+04 -5.07398783e+04  5.26e-02 2.11e-09  1.87e-03     1s
  23  -5.07245817e+04 -5.07263119e+04  3.27e-02 3.48e-09  2.07e-04     1s
  24  -5.07247590e+04 -5.07253822e+04  2.15e-02 3.20e-09  7.52e-05     1s
Read LP format model from file /tmp/linopy-problem-f540u182.lp
Reading time = 0.11 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x19f2ddc9
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [3e-01, 1e+00]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

  25  -5.07248737e+04 -5.07250781e+04  3.58e-03 2.11e-09  2.54e-05     1s
  26  -5.07249687e+04 -5.07249819e+04  3.03e-05 2.20e-10  1.32e-06     1s
  27  -5.07249706e+04 -5.07249706e+04  8.68e-08 8.73e-12  1.81e-09     1s

Barrier solved model in 27 iterations and 0.62 seconds (0.17 work units)
Optimal objective -5.07249706e+04

Crossover log...

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.07s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

       6 DPushes remaining with DInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    2000 PPushes remaining with PInf 0.0000000e+00                 1s
Ordering time: 0.02s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -4.96498691e+04 -1.98482666e+07  7.39e+08 2.08e-01  3.90e+05     0s

   1  -7.59201643e+05 -1.85676343e+07  1.11e+08 4.16e-01  2.04e+05     0s
   2  -6.58634832e+05 -6.68383728e+06  6.31e+07 7.83e-03  3.47e+04     0s
       0 PPushes remaining with PInf 0.0000000e+00                 1s
   3  -5.86943633e+04 -2.92759538e+06  2.33e+06 3.44e-04  1.87e+03     0s

  Push phase complete: Pinf 0.0000000e+00, Dinf 1.3721663e-15      1s

Crossover time: 0.20 seconds (0.06 work units)

Solved with barrier
   4  -4.67905694e+04 -1.03082688e+06  5.20e+05 3.36e-07  3.95e+02     0s
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    2009   -5.0724971e+04   0.000000e+00   0.000000e+00      1s

Solved in 2009 iterations and 0.87 seconds (0.23 work units)
Optimal objective -5.072497059e+04
   5  -4.65899367e+04 -5.04837845e+05  1.80e+05 9.42e-16  1.41e+02     0s
   6  -4.87632910e+04 -1.92132936e+05  1.03e+05 6.18e-16  4.25e+01     0s
   7  -5.27507065e+04 -1.48919201e+05  6.70e+04 4.36e-16  2.71e+01     0s

   8  -5.70400968e+04 -1.18040403e+05  3.01e+04 3.01e-16  1.61e+01     0s
   9  -6.06965057e+04 -1.05332970e+05  2.35e+04 2.54e-16  1.18e+01     0s
  10  -6.14366227e+04 -1.04564131e+05  2.22e+04 2.25e-16  1.14e+01     0s
  11  -6.36131422e+04 -1.00644192e+05  1.88e+04 1.88e-16  9.73e+00     0s
  12  -6.38607869e+04 -9.70286360e+04  1.80e+04 1.81e-16  8.74e+00     0s
  13  -6.81213663e+04 -8.88871981e+04  9.03e+03 1.70e-16  5.37e+00     1s
  14  -6.95881818e+04 -8.21291548e+04  5.56e+03 7.38e-17  3.24e+00     1s
  15  -7.10279056e+04 -7.58873324e+04  2.14e+03 1.84e-16  1.25e+00     1s

  16  -7.15977989e+04 -7.50177124e+04  9.04e+02 1.29e-16  8.59e-01     1s
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
  17  -7.19468493e+04 -7.34108236e+04  2.35e+02 1.36e-16  3.62e-01     1s
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
  18  -7.20576465e+04 -7.21253140e+04  4.80e+01 4.19e-08  2.01e-02     1s
  19  -7.20902927e+04 -7.20941327e+04  2.67e+00 6.06e-09  1.34e-03     1s
Read LP format model from file /tmp/linopy-problem-jnzd9rho.lp
Reading time = 0.08 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x7c60e2d7
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [6e-01, 8e-01]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Read LP format model from file /tmp/linopy-problem-vp9oivs0.lp
Reading time = 0.05 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

  20  -7.20927426e+04 -7.20927877e+04  1.20e-07 2.73e-11  1.13e-05     1s
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x2df8e84f
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [3e-01, 1e+00]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

  21  -7.20927578e+04 -7.20927579e+04  1.30e-08 1.33e-12  1.13e-08     1s
  22  -7.20927578e+04 -7.20927578e+04  2.54e-08 5.22e-15  1.13e-11     1s

Barrier solved model in 22 iterations and 0.73 seconds (0.14 work units)
Optimal objective -7.20927578e+04

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.04s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.06s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Crossover log...

Ordering time: 0.01s
Ordering time: 0.02s
      71 DPushes remaining with DInf 0.0000000e+00                 1s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -3.50983786e+04 -1.06014323e+07  7.39e+08 1.11e-01  2.08e+05     0s

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -2.32685441e+04 -1.69913492e+07  7.39e+08 8.89e-02  1.67e+05     0s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    2072 PPushes remaining with PInf 0.0000000e+00                 1s
   1  -5.18676831e+05 -9.09687824e+06  1.06e+08 2.13e-01  9.92e+04     0s
   1  -5.00475552e+05 -1.57388089e+07  1.13e+08 1.73e-01  8.55e+04     0s
   2  -3.02308711e+05 -3.63355931e+06  5.52e+07 2.34e-03  1.66e+04     0s
   2  -3.91914998e+05 -5.52292225e+06  6.23e+07 3.10e-03  1.40e+04     0s
   3  -3.47031965e+04 -1.55335576e+06  1.07e+06 5.03e-05  6.58e+02     0s
   3  -2.82624357e+04 -2.42099553e+06  2.39e+06 1.71e-04  7.85e+02     0s
   4  -3.44148708e+04 -4.88902675e+05  4.60e+05 9.71e-16  1.75e+02     0s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 2.7790270e-15      1s

   4  -1.99073363e+04 -7.37171912e+05  4.28e+05 3.53e-06  1.36e+02     0s
Crossover time: 0.18 seconds (0.07 work units)

Solved with barrier
   5  -3.55869820e+04 -1.93942427e+05  1.85e+05 5.83e-16  4.91e+01     0s
   5  -2.13074555e+04 -3.27710872e+05  1.38e+05 1.67e-07  4.56e+01     0s
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    2146   -7.2092758e+04   0.000000e+00   0.000000e+00      1s

Solved in 2146 iterations and 0.93 seconds (0.22 work units)
Optimal objective -7.209275780e+04
   6  -3.73655330e+04 -1.05228848e+05  9.65e+04 3.40e-16  1.93e+01     0s
   6  -2.63401173e+04 -1.41747610e+05  7.60e+04 2.04e-16  1.67e+01     0s
   7  -3.92846972e+04 -9.42002708e+04  6.23e+04 2.67e-16  1.49e+01     0s
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
   7  -2.94508873e+04 -9.62461927e+04  5.99e+04 1.17e-16  9.61e+00     0s
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
   8  -3.63332655e+04 -8.72696299e+04  2.76e+04 7.71e-17  6.82e+00     0s
   8  -4.08646194e+04 -8.25555349e+04  4.85e+04 2.06e-16  1.12e+01     0s

   9  -3.74830472e+04 -7.57099209e+04  2.43e+04 8.40e-17  5.16e+00     0s
   9  -4.24687618e+04 -8.10821829e+04  4.08e+04 1.89e-16  1.02e+01     0s
  10  -3.84994093e+04 -7.49084994e+04  2.21e+04 7.77e-17  4.89e+00     0s
  10  -4.46837261e+04 -7.89868395e+04  3.19e+04 1.83e-16  8.98e+00     0s
Read LP format model from file /tmp/linopy-problem-782zgai9.lp
Reading time = 0.09 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x4e87fd8c
Model has 2 linear objective coefficients
Coefficient statistics:
  11  -4.10139522e+04 -6.92327806e+04  1.67e+04 8.50e-17  3.77e+00     0s
  Matrix range     [1e-03, 2e+05]
  Objective range  [6e-01, 8e-01]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

  11  -4.56394329e+04 -7.35187708e+04  2.89e+04 1.24e-16  7.32e+00     0s
  12  -4.29156004e+04 -6.76828104e+04  1.26e+04 5.56e-17  3.26e+00     0s
  12  -4.55462007e+04 -7.20917368e+04  2.69e+04 1.61e-16  6.95e+00     0s
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
  13  -4.60507272e+04 -6.72547744e+04  1.01e+04 1.21e-16  5.30e+00     0s
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.06s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
  13  -4.38401076e+04 -6.36893238e+04  1.01e+04 8.45e-17  2.61e+00     0s
  14  -4.94467244e+04 -6.56698613e+04  4.88e+03 1.29e-16  4.00e+00     0s
Ordering time: 0.02s
  14  -4.54310518e+04 -5.76632040e+04  4.97e+03 8.47e-17  1.58e+00     0s
  15  -5.07036944e+04 -5.91615790e+04  3.04e+03 7.93e-17  2.10e+00     0s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
  16  -5.08887951e+04 -5.87786975e+04  2.69e+03 5.72e-17  1.95e+00     1s
  15  -4.67337775e+04 -5.16479447e+04  2.21e+03 1.21e-07  6.46e-01     1s

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -4.94791443e+04 -1.68429189e+07  7.39e+08 8.82e-02  1.65e+05     0s

Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
  17  -5.13118994e+04 -5.68190836e+04  2.05e+03 4.84e-17  1.37e+00     1s
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
  16  -4.70605924e+04 -5.02454487e+04  1.54e+03 9.00e-08  4.22e-01     1s
   1  -7.27158409e+05 -1.58031843e+07  1.11e+08 1.77e-01  8.72e+04     0s
  17  -4.73770354e+04 -4.90705799e+04  8.84e+02 6.43e-08  2.27e-01     1s
  18  -5.19996933e+04 -5.48284409e+04  8.13e+02 6.43e-17  6.97e-01     1s
   2  -6.23698007e+05 -5.79295579e+06  6.33e+07 3.31e-03  1.51e+04     0s
  19  -5.20265177e+04 -5.45305912e+04  7.54e+02 5.16e-17  6.18e-01     1s
  18  -4.77582283e+04 -4.78748547e+04  1.24e+02 5.51e-08  2.06e-02     1s
Read LP format model from file /tmp/linopy-problem-4hcuryao.lp
Reading time = 0.15 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x64c08b71
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [6e-01, 8e-01]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

   3  -5.75585782e+04 -2.54092804e+06  2.23e+06 1.35e-04  7.90e+02     0s
  19  -4.78157183e+04 -4.78236022e+04  1.03e+01 2.12e-09  1.27e-03     1s
  20  -5.20427010e+04 -5.42341341e+04  7.27e+02 7.83e-17  5.42e-01     1s
  20  -4.78218539e+04 -4.78222334e+04  8.45e-03 5.62e-10  3.84e-06     1s
   4  -4.73394665e+04 -8.12507731e+05  5.09e+05 8.47e-16  1.55e+02     0s
  21  -5.21256598e+04 -5.41474722e+04  5.82e+02 6.14e-17  4.98e-01     1s
  21  -4.78218593e+04 -4.78218588e+04  4.10e-08 9.14e-13  3.84e-09     1s

Barrier solved model in 21 iterations and 0.68 seconds (0.14 work units)
Optimal objective -4.78218593e+04

Crossover log...

   5  -4.70922237e+04 -4.18915514e+05  1.71e+05 4.34e-16  5.70e+01     0s
Read LP format model from file /tmp/linopy-problem-jn7q2mbb.lp
Reading time = 0.15 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
  22  -5.23074500e+04 -5.29111938e+04  2.06e+02 5.28e-17  1.49e-01     1s
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x8d6e3e24
Model has 1 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [6e-17, 1e+00]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

   6  -4.85514643e+04 -1.64808433e+05  1.01e+05 1.52e-16  1.73e+01     0s
  23  -5.23112391e+04 -5.27047529e+04  2.00e+02 9.50e-10  9.86e-02     1s
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.12s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

   7  -5.19142458e+04 -1.33509267e+05  6.00e+04 4.79e-17  1.13e+01     0s

       5 DPushes remaining with DInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    2087 PPushes remaining with PInf 0.0000000e+00                 1s
  24  -5.23494980e+04 -5.26366187e+04  1.37e+02 1.56e-09  7.18e-02     1s
   8  -5.49586934e+04 -1.01142950e+05  3.68e+04 2.76e-17  6.23e+00     0s
Ordering time: 0.02s
   9  -5.68076201e+04 -9.40911801e+04  2.93e+04 5.77e-17  5.00e+00     0s
  25  -5.23759140e+04 -5.26238043e+04  9.56e+01 1.52e-09  6.16e-02     1s
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.09s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...


Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
  10  -5.82114319e+04 -8.69859299e+04  2.57e+04 4.56e-17  3.89e+00     0s
  11  -6.24435113e+04 -8.13968059e+04  1.46e+04 2.54e-17  2.52e+00     0s
  26  -5.23852189e+04 -5.25033755e+04  8.06e+01 2.94e-09  3.00e-02     1s

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -4.44650696e+04 -1.21888689e+07  7.39e+08 6.38e-02  1.20e+05     0s
Ordering time: 0.02s
  12  -6.31862185e+04 -7.86450106e+04  1.23e+04 3.59e-17  2.06e+00     0s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
  13  -6.48563151e+04 -7.77452014e+04  6.76e+03 2.98e-17  1.66e+00     0s
   1  -6.65659905e+05 -1.08914627e+07  1.08e+08 1.28e-01  6.07e+04     0s
  27  -5.24217606e+04 -5.24363163e+04  9.78e+00 2.46e-09  3.72e-03     1s

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -4.49605266e+04 -2.09107277e+07  7.39e+08 1.40e+01  2.63e+07     0s
  14  -6.60503199e+04 -7.03699296e+04  2.82e+03 5.44e-17  5.64e-01     1s
   2  -4.87208483e+05 -4.20783573e+06  5.96e+07 1.77e-03  1.03e+04     0s
   1  -7.32480675e+05 -1.95051810e+07  1.12e+08 2.78e+01  1.37e+07     0s
  28  -5.24317636e+04 -5.24331084e+04  5.09e-01 7.02e-10  3.39e-04     1s
  15  -6.62867444e+04 -6.94553437e+04  2.10e+03 1.68e-09  4.14e-01     1s
   2  -6.27664286e+05 -6.94697081e+06  6.28e+07 5.18e-01  2.29e+06     0s
  29  -5.24326452e+04 -5.24326703e+04  3.00e-04 1.14e-10  6.69e-06     1s

   3  -4.64222187e+04 -1.76931267e+06  1.54e+06 6.97e-05  4.52e+02     0s
  16  -6.67328812e+04 -6.87166292e+04  7.09e+02 7.65e-17  2.50e-01     1s
       0 PPushes remaining with PInf 0.0000000e+00                 1s
   3  -5.39688621e+04 -3.04261779e+06  2.41e+06 2.43e-02  1.27e+05     0s

  Push phase complete: Pinf 0.0000000e+00, Dinf 3.5856734e-15      1s

Crossover time: 0.30 seconds (0.08 work units)
  30  -5.24326498e+04 -5.24326498e+04  8.33e-09 2.82e-12  6.70e-09     1s

Barrier solved model in 30 iterations and 0.97 seconds (0.18 work units)
Optimal objective -5.24326498e+04

  17  -6.69284701e+04 -6.75266171e+04  2.21e+02 2.39e-08  7.66e-02     1s

Solved with barrier
   4  -4.25125079e+04 -5.84684006e+05  4.71e+05 6.07e-16  1.05e+02     0s
Crossover log...

   4  -4.16589157e+04 -1.02542276e+06  5.18e+05 1.75e-04  2.54e+04     0s
  18  -6.69902755e+04 -6.70503151e+04  8.91e+01 2.83e-08  9.70e-03     1s
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    2095   -4.7821859e+04   0.000000e+00   0.000000e+00      1s

Solved in 2095 iterations and 1.02 seconds (0.22 work units)
Optimal objective -4.782185931e+04
   5  -4.18631490e+04 -5.05723914e+05  1.63e+05 7.37e-14  8.99e+03     0s
   5  -4.26681288e+04 -2.83143861e+05  1.71e+05 3.03e-16  3.67e+01     0s
     400 DPushes remaining with DInf 0.0000000e+00                 1s
  19  -6.70330228e+04 -6.70332912e+04  2.84e-01 1.19e-08  4.96e-04     1s
   6  -4.40963456e+04 -2.63787756e+05  9.44e+04 3.11e-14  4.03e+03     0s
  20  -6.70342777e+04 -6.70330730e+04  2.20e-03 4.28e-09  2.00e-05     1s
   6  -4.35340653e+04 -1.37862474e+05  9.75e+04 1.79e-16  1.36e+01     0s
   7  -4.75837618e+04 -1.67444793e+05  5.52e+04 2.50e-14  2.10e+03     0s
  21  -6.70342875e+04 -6.70342841e+04  9.31e-08 1.11e-11  2.00e-08     1s
   8  -4.86269884e+04 -1.32711478e+05  2.27e+04 2.04e-14  1.38e+03     0s
  22  -6.70342875e+04 -6.70342875e+04  3.63e-08 1.12e-14  2.00e-11     1s

Barrier solved model in 22 iterations and 0.71 seconds (0.14 work units)
Optimal objective -6.70342875e+04

   9  -5.50185493e+04 -1.21936927e+05  1.35e+04 2.06e-14  1.08e+03     0s
   7  -4.58677974e+04 -1.04609355e+05  4.85e+04 1.34e-16  7.88e+00     0s
Crossover log...

  10  -5.64724441e+04 -1.02931517e+05  1.19e+04 1.11e-14  7.54e+02     0s
     242 DPushes remaining with DInf 0.0000000e+00                 1s
   8  -4.80711630e+04 -9.07701876e+04  3.98e+04 9.99e-17  5.68e+00     1s
  11  -5.79644433e+04 -1.01855561e+05  1.07e+04 1.22e-14  7.10e+02     0s
  12  -6.09893220e+04 -9.89312721e+04  8.80e+03 1.59e-14  6.12e+02     0s

  13  -6.30776952e+04 -9.21663780e+04  7.07e+03 1.36e-14  4.69e+02     0s
   9  -4.93124101e+04 -8.27581142e+04  2.85e+04 8.28e-17  4.37e+00     1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s
  14  -6.64377501e+04 -7.99666713e+04  3.67e+03 8.01e-15  2.19e+02     0s

    2128 PPushes remaining with PInf 0.0000000e+00                 1s
  15  -6.81887210e+04 -7.70426179e+04  1.81e+03 4.91e-15  1.42e+02     0s
  10  -5.08473622e+04 -7.26539415e+04  1.76e+04 3.96e-17  2.81e+00     1s
  16  -6.85762046e+04 -7.48203127e+04  1.50e+03 1.04e-14  1.00e+02     1s
  17  -6.96613585e+04 -7.23137814e+04  5.34e+02 8.18e-15  4.24e+01     1s
  11  -5.27533587e+04 -6.55557303e+04  1.17e+04 4.07e-17  1.66e+00     1s
  18  -7.02340863e+04 -7.04752996e+04  6.72e+01 1.02e-14  3.90e+00     1s
  19  -7.03207534e+04 -7.03357911e+04  2.91e+00 9.21e-10  2.40e-01     1s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 2.3991226e-15      1s

  12  -5.38582005e+04 -5.90199414e+04  8.32e+03 3.80e-17  7.02e-01     1s
Crossover time: 0.19 seconds (0.09 work units)
       0 DPushes remaining with DInf 0.0000000e+00                 1s
  20  -7.03266669e+04 -7.03269948e+04  1.49e-02 3.12e-09  4.95e-03     1s

Solved with barrier

    2173 PPushes remaining with PInf 0.0000000e+00                 1s
  21  -7.03267008e+04 -7.03267016e+04  4.99e-07 1.38e-10  5.17e-06     1s
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    2373   -6.7034287e+04   0.000000e+00   0.000000e+00      1s

Solved in 2373 iterations and 0.92 seconds (0.24 work units)
Optimal objective -6.703428750e+04
  13  -5.49132477e+04 -5.85596183e+04  4.97e+03 4.39e-17  4.87e-01     1s
  22  -7.03267008e+04 -7.03267011e+04  1.11e-05 4.13e-11  1.72e-06     1s
  23  -7.03267008e+04 -7.03267008e+04  7.28e-07 1.42e-12  2.12e-09     1s

Barrier solved model in 23 iterations and 0.63 seconds (0.15 work units)
Optimal objective -7.03267008e+04

Crossover log...

  14  -5.54111832e+04 -5.74573203e+04  3.44e+03 4.33e-17  2.80e-01     1s

      75 DPushes remaining with DInf 0.0000000e+00                 1s
  15  -5.58587337e+04 -5.70109880e+04  1.98e+03 9.74e-10  1.58e-01     1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    2059 PPushes remaining with PInf 0.0000000e+00                 1s
  16  -5.62080822e+04 -5.68894624e+04  8.42e+02 6.11e-09  9.05e-02     1s
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 2.4112656e-15      1s

Crossover time: 0.48 seconds (0.13 work units)

Solved with barrier
  17  -5.64395926e+04 -5.65828740e+04  5.80e+01 9.42e-09  1.81e-02     1s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 1.9440005e-13      1s

  18  -5.64550511e+04 -5.65006517e+04  8.13e+00 2.57e-09  5.66e-03     1s
Crossover time: 0.15 seconds (0.07 work units)

Solved with barrier
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    2576   -5.2432650e+04   0.000000e+00   0.000000e+00      1s

Solved in 2576 iterations and 1.49 seconds (0.32 work units)
Optimal objective -5.243264984e+04
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    2137   -7.0326701e+04   0.000000e+00   0.000000e+00      1s

Solved in 2137 iterations and 0.81 seconds (0.22 work units)
Optimal objective -7.032670084e+04
  19  -5.64582035e+04 -5.64587673e+04  1.10e-01 1.43e-10  7.20e-05     1s
  20  -5.64582860e+04 -5.64582863e+04  6.58e-09 6.39e-12  7.21e-08     1s
  21  -5.64582860e+04 -5.64582860e+04  1.02e-08 8.52e-15  7.21e-11     1s

Barrier solved model in 21 iterations and 0.96 seconds (0.14 work units)
Optimal objective -5.64582860e+04

Read LP format model from file /tmp/linopy-problem-1zz0cxw1.lp
Reading time = 0.14 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x914d8234
Model has 2 linear objective coefficients
Coefficient statistics:
Crossover log...

  Matrix range     [1e-03, 2e+05]
  Objective range  [3e-01, 1e+00]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

     744 DPushes remaining with DInf 0.0000000e+00                 1s
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.10s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.04s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    2212 PPushes remaining with PInf 0.0000000e+00                 1s

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -3.58701411e+04 -1.99263011e+07  7.39e+08 2.09e-01  3.91e+05     0s
   1  -6.43896774e+05 -1.85281834e+07  1.12e+08 4.12e-01  2.02e+05     0s

   2  -5.35540141e+05 -6.54664825e+06  6.26e+07 7.52e-03  3.36e+04     0s
   3  -4.32898036e+04 -2.86815764e+06  2.41e+06 3.81e-04  1.87e+03     0s
   4  -3.21210820e+04 -9.48336866e+05  4.61e+05 4.36e-06  3.54e+02     0s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 9.1072982e-16      1s

Crossover time: 0.38 seconds (0.12 work units)

Solved with barrier
   5  -3.27641002e+04 -4.40876954e+05  1.53e+05 1.02e-15  1.23e+02     0s
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    2959   -5.6458286e+04   0.000000e+00   0.000000e+00      1s

Solved in 2959 iterations and 1.37 seconds (0.26 work units)
Optimal objective -5.645828605e+04
   6  -3.63948071e+04 -1.77645737e+05  8.10e+04 6.15e-16  4.08e+01     0s

   7  -4.00414597e+04 -1.27549016e+05  6.03e+04 4.12e-16  2.47e+01     0s
   8  -4.54771559e+04 -1.09274696e+05  2.86e+04 2.26e-16  1.69e+01     0s

   9  -4.96982970e+04 -9.88484492e+04  2.08e+04 1.86e-16  1.29e+01     0s
  10  -5.29814098e+04 -9.03857121e+04  1.56e+04 1.55e-16  9.77e+00     1s
  11  -5.62480284e+04 -8.41153494e+04  1.04e+04 1.77e-16  7.21e+00     1s
  12  -5.76408997e+04 -7.73567987e+04  7.76e+03 1.12e-16  5.10e+00     1s
  13  -5.94564307e+04 -7.24735542e+04  4.07e+03 1.16e-16  3.32e+00     1s

  14  -6.05568814e+04 -6.84492414e+04  2.20e+03 7.15e-17  2.00e+00     1s
  15  -6.14831686e+04 -6.40782847e+04  6.88e+02 1.52e-16  6.56e-01     1s

  16  -6.16939097e+04 -6.35207622e+04  3.88e+02 1.21e-16  4.59e-01     1s
  17  -6.18650358e+04 -6.26494777e+04  1.41e+02 1.45e-08  1.98e-01     1s
  18  -6.19639514e+04 -6.21137815e+04  1.04e+01 3.36e-08  3.91e-02     1s
  19  -6.19748769e+04 -6.20152472e+04  2.29e-02 2.23e-08  1.14e-02     1s
  20  -6.19758053e+04 -6.19772292e+04  6.82e-03 5.36e-09  7.10e-04     1s
  21  -6.19758640e+04 -6.19765850e+04  5.83e-03 1.18e-09  9.48e-05     1s

  22  -6.19762129e+04 -6.19759121e+04  3.29e-07 1.14e-09  1.54e-06     1s
  23  -6.19762145e+04 -6.19762149e+04  1.12e-07 1.75e-12  1.61e-09     1s

Barrier solved model in 23 iterations and 0.88 seconds (0.15 work units)
Optimal objective -6.19762145e+04

Crossover log...

       5 DPushes remaining with DInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    2032 PPushes remaining with PInf 0.0000000e+00                 1s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 8.7360674e-15      1s

Crossover time: 0.19 seconds (0.06 work units)

Solved with barrier
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    2040   -6.1976214e+04   0.000000e+00   0.000000e+00      1s

Solved in 2040 iterations and 1.10 seconds (0.21 work units)
Optimal objective -6.197621445e+04

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)
/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)
/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)
/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(
/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(
/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Read LP format model from file /tmp/linopy-problem-vcukgty2.lp
Reading time = 0.11 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x86baeb10
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [3e-01, 1e+00]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.07s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.02s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
Read LP format model from file /tmp/linopy-problem-28izlvz0.lp
Reading time = 0.10 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x1949abd8
Model has 1 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [1e-16, 1e+00]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.


                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0   7.31115899e+03 -6.58185289e+06  7.39e+08 6.89e-02  1.29e+05     0s
   1  -8.81698972e+04 -6.07818904e+06  1.13e+08 1.32e-01  6.57e+04     0s
   2  -2.19260203e+04 -2.09471141e+06  6.12e+07 2.16e-03  1.05e+04     0s
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.07s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

   3   7.02227334e+03 -9.47347050e+05  2.12e+06 1.37e-04  5.67e+02     0s
   4   7.10724716e+03 -2.96867148e+05  4.81e+05 6.09e-06  1.18e+02     0s
Ordering time: 0.02s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0   2.01861603e+04 -3.31804057e+04  6.79e+08 3.91e-15  7.73e+04     0s
   5   5.36647227e+03 -1.21553648e+05  1.63e+05 1.02e-06  3.91e+01     0s
   1   4.01320009e+03 -2.90512750e+04  1.08e+08 8.52e-02  3.66e+04     0s
   6   3.43455814e+03 -5.56702928e+04  1.23e+05 3.52e-09  1.84e+01     0s

   2   1.80256942e+03 -7.74107238e+03  4.88e+07 6.59e-03  5.98e+03     0s
   7   1.01952491e+03 -3.62959705e+04  8.58e+04 6.59e-08  1.14e+01     0s
   8  -2.92215119e+03 -2.52200996e+04  3.15e+04 1.45e-07  6.19e+00     0s
   3   2.01736406e+02 -3.61988062e+03  5.37e+06 2.27e-04  6.73e+02     0s
   9  -3.64222970e+03 -2.40110978e+04  2.72e+04 1.59e-07  5.61e+00     0s
  10  -4.83460263e+03 -2.11257680e+04  2.10e+04 1.98e-07  4.46e+00     0s
   4   7.67929559e+01 -1.44590035e+03  1.82e+06 6.14e-05  2.35e+02     0s
  11  -5.50065871e+03 -1.78422273e+04  1.73e+04 2.25e-07  3.41e+00     0s
   5   4.30979859e+01 -5.53785662e+02  1.01e+06 2.12e-05  1.26e+02     0s
  12  -6.21757571e+03 -1.62470286e+04  1.36e+04 1.98e-07  2.75e+00     0s
   6   3.21905160e+01  2.43393150e+02  7.36e+05 7.93e-06  8.68e+01     0s
  13  -6.48014229e+03 -1.48425979e+04  1.19e+04 2.38e-07  2.31e+00     0s
   7   2.56649171e+01  6.12137534e+02  5.71e+05 6.08e-06  6.90e+01     0s

   8   2.43412579e+01  7.53457638e+02  5.24e+05 5.67e-06  6.30e+01     0s
  14  -6.95278629e+03 -1.40196771e+04  9.50e+03 2.28e-07  1.94e+00     1s
   9   2.34985346e+01  9.14462147e+02  4.99e+05 5.31e-06  6.04e+01     0s
  15  -7.16314828e+03 -1.30691831e+04  7.33e+03 2.29e-07  1.61e+00     1s
  10   2.34244843e+01  1.48354787e+03  4.63e+05 4.44e-06  5.82e+01     0s
  16  -7.57650753e+03 -1.13639625e+04  4.59e+03 2.17e-07  1.04e+00     1s
  11   2.50563114e+01  2.55946743e+03  4.35e+05 3.68e-06  6.06e+01     0s
  17  -7.87027255e+03 -1.04559684e+04  2.54e+03 2.32e-07  7.05e-01     1s
  12   3.29313320e+01  2.98131095e+03  4.16e+05 3.58e-06  5.71e+01     1s
  18  -7.99745414e+03 -8.94859359e+03  1.66e+03 1.47e-07  2.81e-01     1s
  13   4.51948592e+01  3.29753890e+03  4.05e+05 3.52e-06  5.54e+01     1s
  19  -8.22330658e+03 -8.39602652e+03  1.97e+02 1.55e-07  6.43e-02     1s
  14   1.00727194e+02  7.73864843e+03  3.84e+05 3.04e-06  6.33e+01     1s
  20  -8.23404879e+03 -8.27317202e+03  1.44e+02 1.02e-07  2.47e-02     1s

  15   1.08146995e+03  7.91751851e+03  3.42e+05 2.86e-06  5.97e+01     1s
  21  -8.26348011e+03 -8.24997315e+03  1.26e+01 6.54e-08  4.98e-03     1s
  22  -8.26665984e+03 -8.26382032e+03  1.64e-03 7.81e-09  2.67e-04     1s
  16   1.24312848e+03  8.00882665e+03  3.35e+05 2.70e-06  5.81e+01     1s
  23  -8.26685159e+03 -8.26652708e+03  3.86e-07 6.77e-10  2.30e-06     1s
  17   2.00049260e+03  8.41853140e+03  3.04e+05 1.81e-06  5.10e+01     1s
  24  -8.26685192e+03 -8.26685190e+03  4.19e-09 5.29e-14  8.18e-11     1s

Barrier solved model in 24 iterations and 0.86 seconds (0.15 work units)
Optimal objective -8.26685192e+03

  18   2.55294249e+03  8.71708710e+03  2.80e+05 1.15e-06  4.49e+01     1s
Crossover log...

  19   2.68505461e+03  1.01851760e+04  2.74e+05 1.13e-06  4.37e+01     1s
       4 DPushes remaining with DInf 0.0000000e+00                 1s
  20   2.84347360e+03  1.03670427e+04  2.69e+05 1.06e-06  4.26e+01     1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    1667 PPushes remaining with PInf 0.0000000e+00                 1s

  21   2.94017053e+03  1.04988498e+04  2.66e+05 9.40e-07  4.16e+01     1s
  22   3.31138349e+03  1.04185558e+04  2.54e+05 6.96e-07  3.97e+01     1s
  23   3.55219103e+03  1.05135712e+04  2.45e+05 6.39e-07  3.84e+01     1s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 2.2759572e-15      1s

Crossover time: 0.20 seconds (0.06 work units)
  24   3.97500423e+03  1.05944626e+04  2.32e+05 5.70e-07  3.65e+01     1s

Solved with barrier
  25   4.10448676e+03  1.06376938e+04  2.27e+05 5.33e-07  3.54e+01     1s
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1674   -8.2668519e+03   0.000000e+00   0.000000e+00      1s

Solved in 1674 iterations and 1.11 seconds (0.22 work units)
Optimal objective -8.266851916e+03
  26   4.34464336e+03  1.06196863e+04  2.20e+05 4.86e-07  3.45e+01     1s

  27   5.09025421e+03  1.09210026e+04  1.96e+05 3.57e-07  2.94e+01     1s
  28   5.77340138e+03  1.09865708e+04  1.74e+05 3.09e-07  2.62e+01     1s
  29   5.92135963e+03  1.10048132e+04  1.70e+05 3.29e-07  2.54e+01     1s
  30   6.19283331e+03  1.11104154e+04  1.61e+05 5.68e-07  2.24e+01     1s
  31   6.83394086e+03  1.11474864e+04  1.41e+05 6.32e-07  1.99e+01     1s
  32   7.07457059e+03  1.12212268e+04  1.34e+05 6.96e-07  1.83e+01     1s

  33   7.20881351e+03  1.13203287e+04  1.29e+05 6.91e-07  1.76e+01     1s
  34   7.56094203e+03  1.13549860e+04  1.19e+05 7.18e-07  1.63e+01     1s
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
  35   7.80233722e+03  1.14312658e+04  1.12e+05 7.25e-07  1.59e+01     1s
  36   8.16756454e+03  1.14822924e+04  1.01e+05 7.31e-07  1.48e+01     1s
Read LP format model from file /tmp/linopy-problem-e9q86ov6.lp
Reading time = 0.09 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0xe1bb15ed
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [6e-01, 8e-01]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

  37   8.34677000e+03  1.15262951e+04  9.63e+04 7.48e-07  1.37e+01     1s
  38   8.75396425e+03  1.15483994e+04  8.46e+04 7.58e-07  1.21e+01     1s

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.07s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

  39   9.07145017e+03  1.15784522e+04  7.55e+04 7.62e-07  1.06e+01     1s
Ordering time: 0.01s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
  40   9.13783908e+03  1.15964841e+04  7.36e+04 7.55e-07  1.01e+01     2s

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -8.38927298e+03 -1.23931658e+07  7.39e+08 6.49e-02  1.22e+05     0s
   1  -3.06323226e+05 -1.14702810e+07  1.13e+08 1.20e-01  6.22e+04     0s
  41   9.19381463e+03  1.16038622e+04  7.20e+04 7.51e-07  9.80e+00     2s
   2  -2.09853288e+05 -4.00428933e+06  6.20e+07 2.19e-03  1.01e+04     0s
   3  -1.04723049e+04 -1.78449930e+06  2.31e+06 1.24e-04  5.63e+02     0s
  42   9.33149400e+03  1.16250081e+04  6.81e+04 7.37e-07  9.07e+00     2s
   4  -6.22043867e+03 -5.66541844e+05  4.58e+05 2.32e-06  1.07e+02     0s
   5  -7.75443187e+03 -2.48542533e+05  1.38e+05 3.39e-07  3.56e+01     0s
  43   9.47755513e+03  1.16609518e+04  6.41e+04 7.17e-07  8.40e+00     2s
   6  -1.08316107e+04 -1.02845452e+05  8.67e+04 1.43e-16  1.34e+01     0s
   7  -1.32921095e+04 -7.64320441e+04  6.78e+04 7.43e-17  9.08e+00     0s
   8  -1.42773703e+04 -7.28021740e+04  6.17e+04 8.74e-17  8.37e+00     0s
  44   9.81978803e+03  1.16921221e+04  5.47e+04 6.92e-07  7.16e+00     2s
   9  -2.03876511e+04 -5.88502403e+04  2.49e+04 5.34e-17  5.13e+00     0s

  10  -2.05863779e+04 -5.79447657e+04  2.40e+04 6.03e-17  4.97e+00     0s
  11  -2.31927694e+04 -5.26891772e+04  1.65e+04 3.63e-17  3.87e+00     0s
  12  -2.42889527e+04 -5.06490868e+04  1.37e+04 5.27e-17  3.43e+00     0s
  45   9.97060382e+03  1.17168010e+04  5.04e+04 6.58e-07  6.41e+00     2s
  13  -2.53164308e+04 -4.43663008e+04  1.06e+04 1.67e-08  2.49e+00     0s
  14  -2.63263912e+04 -3.77205317e+04  8.02e+03 1.11e-07  1.51e+00     0s
  46   1.00656163e+04  1.17287948e+04  4.79e+04 6.40e-07  6.12e+00     2s
  15  -2.66469901e+04 -3.70606437e+04  7.27e+03 1.23e-07  1.38e+00     0s
  16  -2.71833895e+04 -3.60462394e+04  6.14e+03 1.32e-07  1.18e+00     0s
  17  -2.75690098e+04 -3.38253885e+04  4.50e+03 1.24e-07  8.35e-01     0s
  47   1.02214489e+04  1.17715058e+04  4.36e+04 6.04e-07  5.29e+00     2s

Barrier performed 47 iterations in 1.76 seconds (0.26 work units)
Barrier solve interrupted - model solved by another algorithm


Solved with dual simplex
  18  -2.82741124e+04 -3.18929139e+04  2.33e+03 1.31e-07  4.83e-01     0s
  19  -2.86175940e+04 -3.05071925e+04  1.40e+03 1.26e-07  2.60e-01     0s
  20  -2.89701482e+04 -2.97671720e+04  4.89e+02 1.50e-07  1.17e-01     0s
  21  -2.91374722e+04 -2.91914703e+04  3.38e+01 2.77e-08  9.65e-03     0s
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    6356    1.1952137e+04   0.000000e+00   0.000000e+00      2s

Solved in 6356 iterations and 1.80 seconds (1.31 work units)
Optimal objective  1.195213724e+04
  22  -2.91600991e+04 -2.91537503e+04  2.78e-02 1.02e-08  1.33e-04     0s
  23  -2.91605154e+04 -2.91607691e+04  1.52e-06 3.49e-10  8.15e-07     0s
  24  -2.91605167e+04 -2.91605439e+04  9.22e-08 3.89e-11  6.43e-09     0s

Barrier solved model in 24 iterations and 0.42 seconds (0.15 work units)
Optimal objective -2.91605167e+04

Crossover log...

       4 DPushes remaining with DInf 0.0000000e+00                 0s
       0 DPushes remaining with DInf 0.0000000e+00                 0s

    1866 PPushes remaining with PInf 0.0000000e+00                 0s

Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 1.6852839e-15      1s

Crossover time: 0.09 seconds (0.07 work units)

Solved with barrier
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1873   -2.9160517e+04   0.000000e+00   0.000000e+00      1s

Solved in 1873 iterations and 0.52 seconds (0.23 work units)
Optimal objective -2.916051670e+04
Read LP format model from file /tmp/linopy-problem-ketr6ul1.lp
Reading time = 0.05 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x44f525d9
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [3e-01, 1e+00]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.06s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.01s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0   4.89704107e+04 -4.24709194e+06  7.30e+08 0.00e+00  8.24e+04     0s
   1   1.88590599e+05 -3.97915003e+06  1.12e+08 6.90e-02  4.24e+04     0s
   2   3.67161739e+05 -1.16944020e+06  5.56e+07 1.90e-03  4.86e+03     0s

   3   5.04385999e+04 -4.63122848e+05  4.13e+06 1.92e-04  4.54e+02     0s
   4   3.32429287e+04 -1.46824498e+05  4.24e+05 6.28e-06  6.78e+01     0s
   5   3.11444649e+04 -6.50952908e+04  2.23e+05 1.92e-06  3.16e+01     0s
   6   2.96253759e+04 -9.89235164e+03  1.61e+05 1.08e-16  1.35e+01     0s
   7   2.67493145e+04 -1.39245145e+02  8.94e+04 2.78e-16  8.41e+00     0s
   8   2.49430446e+04  5.84472528e+03  6.24e+04 4.98e-17  5.81e+00     0s
   9   2.30890789e+04  1.13059319e+04  3.83e+04 5.31e-17  3.51e+00     0s
  10   2.19905474e+04  1.34475367e+04  2.38e+04 3.62e-17  2.46e+00     0s
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
  11   2.12267080e+04  1.41249369e+04  1.34e+04 3.70e-17  1.93e+00     0s

  12   2.12370730e+04  1.58172899e+04  1.13e+04 3.26e-17  1.49e+00     0s
  13   2.07088916e+04  1.83312603e+04  1.52e+03 3.48e-17  5.98e-01     0s
  14   2.05588755e+04  1.93710718e+04  6.96e+02 5.27e-16  2.98e-01     0s
Read LP format model from file /tmp/linopy-problem-mqhumfrl.lp
Reading time = 0.10 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0xc8db71df
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [6e-01, 8e-01]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

  15   2.04642610e+04  2.01105820e+04  2.67e+02 1.97e-09  8.90e-02     0s
  16   2.04364639e+04  2.02729668e+04  1.39e+02 2.81e-10  4.14e-02     0s
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.07s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

  17   2.04087874e+04  2.03751960e+04  1.35e+01 7.64e-10  8.29e-03     1s
Ordering time: 0.01s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
  18   2.04053877e+04  2.03991797e+04  2.87e+00 5.07e-10  1.56e-03     1s

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0   4.91135483e+04 -8.49418387e+06  7.34e+08 0.00e+00  8.29e+04     0s
  19   2.04045860e+04  2.04043888e+04  8.72e-01 3.08e-09  1.99e-04     1s
   1   3.42675403e+05 -7.93951575e+06  1.13e+08 7.04e-02  4.26e+04     0s

   2   3.91914619e+05 -2.40941038e+06  5.54e+07 1.55e-03  5.80e+03     0s
  20   2.04042383e+04  2.04042731e+04  2.24e-02 2.71e-10  3.75e-06     1s
   3   5.56753301e+04 -1.09882242e+06  3.17e+06 9.99e-05  4.41e+02     0s
  21   2.04042286e+04  2.04042294e+04  3.61e-08 5.13e-12  4.05e-09     1s

Barrier solved model in 21 iterations and 0.62 seconds (0.14 work units)
Optimal objective 2.04042286e+04

Crossover log...

   4   4.24489019e+04 -3.89741288e+05  4.32e+05 1.04e-07  7.96e+01     0s
   5   4.11859706e+04 -1.41696568e+05  2.06e+05 1.74e-16  2.89e+01     0s
      20 DPushes remaining with DInf 0.0000000e+00                 1s
   6   4.00673461e+04 -7.49846913e+03  1.24e+05 1.54e-16  7.55e+00     0s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    2029 PPushes remaining with PInf 0.0000000e+00                 1s
   7   3.60024979e+04  1.53373320e+04  3.77e+04 6.18e-17  2.82e+00     0s
   8   3.32363023e+04  2.29805502e+04  1.75e+04 3.04e-17  1.35e+00     0s
   9   3.22450732e+04  2.48173769e+04  1.08e+04 1.46e-09  9.59e-01     0s
  10   3.15266029e+04  2.73748708e+04  6.60e+03 1.02e-08  5.36e-01     0s
  11   3.07880761e+04  2.80923383e+04  2.74e+03 2.55e-08  3.41e-01     0s
  12   3.06570506e+04  2.89575071e+04  1.95e+03 6.04e-08  2.17e-01     0s

  13   3.04122406e+04  2.99433925e+04  6.62e+02 8.14e-08  6.18e-02     0s
  14   3.03068565e+04  3.01438145e+04  2.84e+02 7.52e-08  2.34e-02     0s
  15   3.02499939e+04  3.02057097e+04  9.84e+01 3.69e-08  7.01e-03     0s
  16   3.02358454e+04  3.02125944e+04  5.16e+01 2.16e-08  3.75e-03     0s
  17   3.02218535e+04  3.02164522e+04  1.02e+01 1.32e-08  1.13e-03     0s
  18   3.02182430e+04  3.02183976e+04  2.16e-06 2.06e-09  4.44e-05     0s
  19   3.02180902e+04  3.02180911e+04  1.67e-07 1.74e-11  3.59e-07     0s
  20   3.02180891e+04  3.02180891e+04  4.38e-08 8.86e-14  5.56e-10     1s

Barrier solved model in 20 iterations and 0.51 seconds (0.13 work units)
Optimal objective 3.02180891e+04

Crossover log...

      21 DPushes remaining with DInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

     904 PPushes remaining with PInf 0.0000000e+00                 1s

Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 3.5908776e-16      1s

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Crossover time: 0.12 seconds (0.03 work units)

Solved with barrier
Iteration    Objective       Primal Inf.    Dual Inf.      Time
     928    3.0218089e+04   0.000000e+00   0.000000e+00      1s

Solved in 928 iterations and 0.65 seconds (0.17 work units)
Optimal objective  3.021808906e+04
Read LP format model from file /tmp/linopy-problem-sqwudeuc.lp
Reading time = 0.09 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x7512c970
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [6e-01, 8e-01]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.06s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.02s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0   4.41647335e+04 -8.49418387e+06  7.35e+08 0.00e+00  8.29e+04     0s
   1   3.11988469e+05 -7.93323068e+06  1.13e+08 6.91e-02  4.26e+04     0s
   2   3.73240939e+05 -2.41280451e+06  5.53e+07 1.52e-03  5.79e+03     0s
   3   5.36593235e+04 -1.09244254e+06  3.04e+06 9.20e-05  4.27e+02     0s
   4   4.16066313e+04 -3.55852472e+05  3.99e+05 1.48e-06  7.20e+01     0s
   5   4.08233825e+04 -1.45605011e+05  1.54e+05 2.26e-07  2.77e+01     0s
   6   4.00998994e+04 -5.89905519e+03  5.97e+04 8.73e-17  6.43e+00     0s

   7   3.74916308e+04  1.20448555e+04  1.61e+04 4.92e-17  3.22e+00     0s
   8   3.60605524e+04  2.49127099e+04  7.43e+03 2.91e-17  1.39e+00     0s
   9   3.48782352e+04  2.90745693e+04  3.46e+03 2.35e-08  7.15e-01     0s
       0 PPushes remaining with PInf 0.0000000e+00                 2s
  10   3.42297564e+04  3.09854056e+04  1.39e+03 4.53e-08  3.96e-01     0s

  Push phase complete: Pinf 0.0000000e+00, Dinf 1.2091023e-15      2s

Crossover time: 0.93 seconds (0.23 work units)
  11   3.39053831e+04  3.24180989e+04  5.73e+02 4.22e-08  1.83e-01     0s

Solved with barrier
  12   3.37558440e+04  3.26459927e+04  2.33e+02 4.76e-08  1.36e-01     0s
  13   3.36879229e+04  3.31272989e+04  1.36e+02 5.74e-08  7.03e-02     0s
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    2052    2.0404229e+04   0.000000e+00   0.000000e+00      2s

Solved in 2052 iterations and 1.59 seconds (0.37 work units)
Optimal objective  2.040422855e+04
  14   3.36149030e+04  3.32987170e+04  5.46e+01 8.04e-08  4.18e-02     0s
  15   3.35897148e+04  3.34081889e+04  2.33e+01 7.66e-08  2.52e-02     0s
  16   3.35751239e+04  3.34768187e+04  5.89e+00 5.46e-08  1.42e-02     1s

  17   3.35658851e+04  3.35159325e+04  8.70e-01 4.32e-08  7.91e-03     1s
  18   3.35628497e+04  3.35389525e+04  1.72e-02 3.03e-08  4.12e-03     1s
  19   3.35622009e+04  3.35466334e+04  2.01e-05 2.69e-08  2.86e-03     1s
  20   3.35618869e+04  3.35501214e+04  1.08e-05 2.66e-08  2.32e-03     1s
  21   3.35614472e+04  3.35627569e+04  3.85e-06 1.85e-08  2.12e-04     1s
  22   3.35612665e+04  3.35624606e+04  3.62e-08 1.50e-08  1.56e-04     1s
  23   3.35612137e+04  3.35611619e+04  5.49e-09 3.80e-10  9.00e-06     1s
  24   3.35611922e+04  3.35611924e+04  3.49e-09 1.40e-11  4.59e-08     1s
  25   3.35611922e+04  3.35611922e+04  1.02e-08 1.52e-13  4.59e-11     1s

Barrier solved model in 25 iterations and 0.65 seconds (0.16 work units)
Optimal objective 3.35611922e+04

Crossover log...

      15 DPushes remaining with DInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

     660 PPushes remaining with PInf 0.0000000e+00                 1s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 2.9446931e-16      1s

Crossover time: 0.05 seconds (0.02 work units)

Solved with barrier
Iteration    Objective       Primal Inf.    Dual Inf.      Time
     678    3.3561192e+04   0.000000e+00   0.000000e+00      1s

Solved in 678 iterations and 0.71 seconds (0.19 work units)
Optimal objective  3.356119221e+04

Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Read LP format model from file /tmp/linopy-problem-6di6chec.lp
Reading time = 0.07 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x868a3ae2
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [3e-01, 1e+00]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.06s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.01s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0   3.47334170e+04 -4.24709194e+06  7.32e+08 0.00e+00  8.27e+04     0s

   1   2.26896486e+05 -3.95081713e+06  1.13e+08 7.28e-02  4.21e+04     0s

   2   2.87315622e+05 -1.18108289e+06  5.39e+07 1.41e-03  5.55e+03     0s
   3   4.32930380e+04 -5.19370664e+05  2.66e+06 8.47e-05  3.83e+02     0s
   4   3.46020679e+04 -1.50499436e+05  3.74e+05 2.89e-06  6.60e+01     0s
   5   3.38617768e+04 -5.27485827e+04  1.32e+05 8.19e-07  2.52e+01     0s
   6   3.27416776e+04  8.89224082e+03  6.48e+04 6.94e-16  6.72e+00     0s
   7   3.07655889e+04  1.52267628e+04  1.90e+04 2.17e-07  4.00e+00     0s
   8   2.99706663e+04  2.08072505e+04  1.19e+04 4.85e-07  2.36e+00     0s

   9   2.92724198e+04  2.44302917e+04  7.36e+03 6.13e-07  1.28e+00     0s

  10   2.87512463e+04  2.47674649e+04  4.17e+03 7.01e-07  1.07e+00     0s
  11   2.84002726e+04  2.57308864e+04  2.76e+03 6.66e-07  7.45e-01     0s
  12   2.82755250e+04  2.63980461e+04  2.21e+03 5.59e-07  5.38e-01     0s
  13   2.79907349e+04  2.66948789e+04  9.56e+02 5.03e-07  3.88e-01     0s
  14   2.78916085e+04  2.72934224e+04  6.02e+02 3.36e-07  1.95e-01     0s

  15   2.77971497e+04  2.74590879e+04  3.06e+02 2.83e-07  1.24e-01     1s

  16   2.77327634e+04  2.76485135e+04  1.03e+02 1.62e-07  4.47e-02     1s
  17   2.77021713e+04  2.77020614e+04  2.46e+01 7.26e-08  1.09e-02     1s

  18   2.76937585e+04  2.77144414e+04  6.97e+00 5.78e-08  3.39e-03     1s
  19   2.76933058e+04  2.77116147e+04  5.80e+00 4.94e-08  2.73e-03     1s
  20   2.76917086e+04  2.77102637e+04  2.81e+00 4.20e-08  1.54e-03     1s
  21   2.76911027e+04  2.77123238e+04  1.69e+00 4.53e-08  1.35e-03     1s

  22   2.76905068e+04  2.77041397e+04  1.99e-01 2.84e-08  7.58e-04     1s

  23   2.76903544e+04  2.76915423e+04  5.24e-02 2.34e-09  3.33e-05     1s

  24   2.76902988e+04  2.76907553e+04  5.86e-05 9.32e-10  1.27e-06     1s
  25   2.76902982e+04  2.76902984e+04  6.05e-08 1.09e-12  3.31e-10     1s

Barrier solved model in 25 iterations and 0.78 seconds (0.16 work units)
Optimal objective 2.76902982e+04

Crossover log...

       3 DPushes remaining with DInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

     731 PPushes remaining with PInf 0.0000000e+00                 1s

       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 5.9067334e-16      1s

Crossover time: 0.17 seconds (0.02 work units)

Solved with barrier
Iteration    Objective       Primal Inf.    Dual Inf.      Time
     737    2.7690298e+04   0.000000e+00   0.000000e+00      1s

Solved in 737 iterations and 1.01 seconds (0.18 work units)
Optimal objective  2.769029817e+04

Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de

Read LP format model from file /tmp/linopy-problem-iz41w1p1.lp
Reading time = 0.09 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x5388df65
Model has 1 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [2e-16, 1e+00]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.07s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.02s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0   4.09552971e+04 -6.63608115e+04  6.82e+08 0.00e+00  7.76e+04     0s
   1   8.08147680e+03 -6.26221091e+04  1.04e+08 8.95e-02  4.03e+04     0s

   2   4.03287356e+03 -1.94376489e+04  5.14e+07 2.43e-03  6.79e+03     0s
   3   3.71759056e+02 -9.22883196e+03  4.58e+06 2.50e-04  7.08e+02     0s
   4   6.60640208e+01 -3.76873133e+03  7.21e+05 2.63e-05  1.34e+02     0s
   5   3.78361375e+01 -1.91163517e+03  4.09e+05 8.50e-06  6.62e+01     0s

   6   2.51489876e+01 -1.49294848e+03  2.70e+05 6.31e-06  4.65e+01     0s
   7   2.03776807e+01 -9.25402898e+02  2.13e+05 4.56e-06  3.61e+01     0s
   8   1.64131214e+01 -3.15513023e+02  1.67e+05 2.66e-06  2.49e+01     0s

   9   1.48426409e+01 -4.43663044e+01  1.44e+05 2.20e-06  2.09e+01     0s
  10   1.44835929e+01  2.01853097e+02  1.32e+05 1.94e-06  1.89e+01     0s
  11   1.51691974e+01  1.14613855e+03  1.22e+05 1.51e-06  1.86e+01     0s
  12   1.98135549e+01  1.90707201e+03  1.16e+05 1.35e-06  1.77e+01     0s
  13   2.94653776e+01  3.52107568e+03  1.07e+05 1.19e-06  1.52e+01     1s

  14   4.38412528e+02  3.96644457e+03  1.05e+05 1.01e-06  1.98e+01     1s
  15   1.08162274e+03  3.68501775e+03  1.00e+05 9.10e-07  2.54e+01     1s

  16   1.30959160e+03  4.10952541e+03  9.30e+04 8.51e-07  2.35e+01     1s
  17   2.36405434e+03  5.48208194e+03  7.97e+04 5.83e-07  2.46e+01     1s
  18   3.48332456e+03  6.14595544e+03  5.94e+04 2.36e-14  1.82e+01     1s
  19   4.35905708e+03  6.30933944e+03  4.34e+04 9.77e-14  1.41e+01     1s
  20   4.53087722e+03  6.35041006e+03  4.04e+04 1.01e-13  1.34e+01     1s
  21   5.02709938e+03  6.49183990e+03  3.18e+04 1.87e-14  1.06e+01     1s

  22   5.52217787e+03  6.78923215e+03  2.36e+04 1.15e-14  5.91e+00     1s
  23   5.71700384e+03  6.80517809e+03  2.04e+04 1.42e-14  5.27e+00     1s

  24   6.06957991e+03  6.83756295e+03  1.45e+04 1.42e-08  3.94e+00     1s
  25   6.14158574e+03  6.84914901e+03  1.33e+04 1.76e-08  3.61e+00     1s
  26   6.33601013e+03  6.86672477e+03  1.02e+04 2.25e-08  2.89e+00     1s
  27   6.43543687e+03  6.92395320e+03  8.52e+03 3.21e-08  1.83e+00     1s
  28   6.44378036e+03  6.93414606e+03  8.38e+03 2.49e-08  1.75e+00     1s

  29   6.45378262e+03  6.93568426e+03  8.22e+03 2.33e-08  1.71e+00     1s
  30   6.49673761e+03  6.93984163e+03  7.53e+03 1.85e-08  1.59e+00     1s

  31   6.62716855e+03  6.95294982e+03  5.45e+03 6.28e-14  1.12e+00     1s
  32   6.64412574e+03  6.95801884e+03  5.18e+03 3.31e-14  1.02e+00     1s
  33   6.67089761e+03  6.96241691e+03  4.76e+03 1.88e-10  9.46e-01     1s
  34   6.78641036e+03  6.96572118e+03  2.94e+03 4.45e-09  5.99e-01     1s
  35   6.84957851e+03  6.96757762e+03  1.97e+03 8.41e-09  4.35e-01     1s
  36   6.91011807e+03  6.97081056e+03  1.02e+03 6.63e-09  2.34e-01     1s

  37   6.95955755e+03  6.97436310e+03  2.42e+02 2.09e-09  5.07e-02     1s
  38   6.97474295e+03  6.97477813e+03  1.42e+00 9.03e-10  1.09e-03     1s

  39   6.97481927e+03  6.97481926e+03  3.95e-07 2.68e-11  1.12e-06     1s
  40   6.97481924e+03  6.97481924e+03  7.29e-08 8.28e-14  1.12e-09     1s

Barrier solved model in 40 iterations and 1.30 seconds (0.23 work units)
Optimal objective 6.97481924e+03

Crossover log...

      20 DPushes remaining with DInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    1290 PPushes remaining with PInf 0.0000000e+00                 1s

       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 1.3480883e-13      1s

Crossover time: 0.20 seconds (0.05 work units)

Solved with barrier
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1313    6.9748192e+03   0.000000e+00   0.000000e+00      2s

Solved in 1313 iterations and 1.53 seconds (0.28 work units)
Optimal objective  6.974819239e+03

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)
/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(
/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Read LP format model from file /tmp/linopy-problem-onsurois.lp
Reading time = 0.05 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0xf5022858
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [6e-01, 8e-01]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.03s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.01s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0   2.32683485e+04 -8.49418387e+06  7.39e+08 3.67e-02  8.34e+04     0s
   1   6.77475373e+04 -7.72473946e+06  1.08e+08 8.99e-02  4.27e+04     0s
   2   6.30498204e+04 -2.55419688e+06  5.92e+07 1.24e-03  6.54e+03     0s
   3   5.39036899e+03 -1.21431744e+06  2.49e+06 4.91e-05  3.97e+02     0s
   4   3.17725303e+03 -3.46658403e+05  4.64e+05 5.44e-15  6.83e+01     0s
   5   1.33906672e+02 -1.88469134e+05  1.97e+05 1.67e-15  2.98e+01     0s

   6  -2.64446219e+03 -9.12758349e+04  1.42e+05 9.85e-16  1.41e+01     0s
   7  -7.60923268e+03 -7.03053539e+04  8.14e+04 8.53e-16  9.25e+00     0s
   8  -1.24103792e+04 -6.14293156e+04  5.64e+04 5.69e-16  6.99e+00     0s
   9  -1.41768258e+04 -5.87222724e+04  4.98e+04 6.25e-16  6.31e+00     0s
  10  -1.19148549e+04 -4.67620812e+04  4.13e+04 3.47e-16  4.89e+00     0s
  11  -1.74618035e+04 -3.93113852e+04  1.88e+04 4.86e-16  2.93e+00     0s
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
  12  -1.68998099e+04 -3.90394719e+04  1.83e+04 3.33e-16  2.96e+00     0s
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
  13  -1.80708242e+04 -3.72283542e+04  1.48e+04 2.95e-16  2.54e+00     0s
  14  -1.92029832e+04 -3.43007553e+04  1.20e+04 2.32e-16  2.00e+00     0s
  15  -1.94585940e+04 -3.37804556e+04  1.08e+04 4.19e-10  1.89e+00     0s
  16  -1.88968095e+04 -3.36402063e+04  1.04e+04 4.80e-10  1.93e+00     0s
Read LP format model from file /tmp/linopy-problem-c04h6gm_.lp
Reading time = 0.04 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x801b77d1
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [3e-01, 1e+00]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

  17  -1.93668233e+04 -3.29813008e+04  9.46e+03 7.36e-10  1.78e+00     0s
  18  -2.07912679e+04 -3.00650104e+04  6.31e+03 2.09e-09  1.21e+00     0s
  19  -2.05990821e+04 -2.86821758e+04  6.15e+03 1.72e-09  1.06e+00     0s
  20  -2.13526243e+04 -2.62570240e+04  3.91e+03 1.32e-09  6.44e-01     0s
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.04s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

  21  -2.16367585e+04 -2.45966710e+04  2.94e+03 5.03e-11  3.96e-01     0s
Ordering time: 0.01s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -7.31117532e+03 -1.07573642e+07  7.39e+08 1.13e-01  2.11e+05     0s
   1  -2.43360284e+05 -9.44541966e+06  1.06e+08 2.20e-01  1.03e+05     0s
  22  -2.19705402e+04 -2.33800061e+04  1.82e+03 3.36e-10  1.94e-01     0s
   2  -1.61741612e+05 -3.41301922e+06  5.68e+07 2.38e-03  1.64e+04     0s
   3  -2.00156202e+04 -1.56885242e+06  1.51e+06 4.62e-05  7.67e+02     0s
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de

   4  -1.89351880e+04 -4.18311109e+05  4.42e+05 1.13e-15  1.54e+02     0s
  23  -2.21057694e+04 -2.27339861e+04  1.37e+03 1.44e-09  9.30e-02     0s
   5  -2.11456600e+04 -2.00291401e+05  1.58e+05 5.66e-16  5.43e+01     0s
   6  -2.35745588e+04 -1.66508788e+05  1.18e+05 5.09e-16  4.15e+01     0s
  24  -2.22670710e+04 -2.26110468e+04  8.33e+02 5.05e-09  5.19e-02     0s
   7  -2.62879298e+04 -1.19329113e+05  8.37e+04 2.82e-16  2.62e+01     0s
   8  -3.02279695e+04 -1.06545978e+05  6.06e+04 2.03e-16  2.09e+01     0s
   9  -3.39486971e+04 -8.76051551e+04  4.49e+04 1.83e-16  1.46e+01     0s
  25  -2.24536084e+04 -2.25339920e+04  2.22e+02 5.04e-09  1.25e-02     0s
Read LP format model from file /tmp/linopy-problem-qg9i8x3n.lp
Reading time = 0.05 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0xa589c3f1
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [6e-01, 8e-01]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

  10  -3.59210531e+04 -7.54662500e+04  2.71e+04 9.49e-17  1.04e+01     0s
  11  -3.99568039e+04 -6.20555930e+04  1.65e+04 6.21e-17  5.82e+00     0s
  26  -2.25152094e+04 -2.25225464e+04  1.42e+01 8.40e-10  1.08e-03     0s
  12  -4.11399076e+04 -6.13917935e+04  1.45e+04 1.31e-16  5.31e+00     0s
  13  -4.18523644e+04 -5.85136732e+04  1.09e+04 1.42e-16  4.34e+00     0s
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.03s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

  14  -4.28980301e+04 -5.24651045e+04  7.76e+03 1.08e-16  2.53e+00     0s
  27  -2.25204428e+04 -2.25209291e+04  8.61e-07 4.19e-10  5.55e-05     0s
  15  -4.41636565e+04 -4.65602462e+04  3.31e+03 8.79e-17  6.63e-01     0s
  16  -4.47572837e+04 -4.52727424e+04  7.41e+02 1.08e-08  1.43e-01     0s
Ordering time: 0.01s
  17  -4.49286532e+04 -4.50473145e+04  1.62e+02 5.65e-09  3.26e-02     0s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
  18  -4.49413230e+04 -4.50288346e+04  1.12e+02 4.34e-09  2.38e-02     0s
  28  -2.25205479e+04 -2.25205488e+04  6.32e-09 4.10e-13  1.06e-07     0s
  19  -4.49730617e+04 -4.49900359e+04  8.20e+00 1.93e-09  4.28e-03     0s

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0   8.38925259e+03 -9.23273879e+06  7.39e+08 4.83e-02  9.07e+04     0s
  20  -4.49776629e+04 -4.49778482e+04  1.72e-01 3.46e-10  4.72e-05     0s
  21  -4.49777833e+04 -4.49777838e+04  7.33e-07 1.26e-11  1.31e-07     0s
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
   1  -1.03454480e+05 -8.11237620e+06  1.06e+08 9.44e-02  4.42e+04     0s
  29  -2.25205481e+04 -2.25205481e+04  6.05e-09 1.75e-15  3.73e-12     0s

Barrier solved model in 29 iterations and 0.50 seconds (0.18 work units)
Optimal objective -2.25205481e+04

  22  -4.49777834e+04 -4.49777834e+04  6.75e-09 9.60e-15  9.47e-13     0s

Barrier solved model in 22 iterations and 0.25 seconds (0.14 work units)
Optimal objective -4.49777834e+04

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Crossover log...

Crossover log...

   2  -6.08817949e+04 -2.91252966e+06  5.66e+07 1.09e-03  7.04e+03     0s
      10 DPushes remaining with DInf 0.0000000e+00                 0s
       0 DPushes remaining with DInf 0.0000000e+00                 0s

    1770 PPushes remaining with PInf 0.0000000e+00                 0s
   3  -9.05988917e+03 -1.33665760e+06  1.60e+06 2.39e-05  3.39e+02     0s

   4  -9.05111494e+03 -3.40480805e+05  4.56e+05 3.71e-16  6.50e+01     0s
      12 DPushes remaining with DInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    1537 PPushes remaining with PInf 0.0000000e+00                 1s
   5  -1.19079562e+04 -1.78477450e+05  2.20e+05 2.89e-16  2.73e+01     0s
       0 PPushes remaining with PInf 0.0000000e+00                 0s

  Push phase complete: Pinf 0.0000000e+00, Dinf 4.2830323e-15      0s

Crossover time: 0.08 seconds (0.06 work units)

Solved with barrier
   6  -1.56855544e+04 -1.06885205e+05  1.55e+05 1.23e-16  1.45e+01     0s
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1783   -4.4977783e+04   0.000000e+00   0.000000e+00      0s

Solved in 1783 iterations and 0.35 seconds (0.20 work units)
Optimal objective -4.497778343e+04
   7  -2.17864553e+04 -8.37084245e+04  9.55e+04 9.37e-17  9.38e+00     0s
Read LP format model from file /tmp/linopy-problem-qeok3_eq.lp
Reading time = 0.10 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x01ba3c99
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [3e-01, 1e+00]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

   8  -2.60714005e+04 -7.27202257e+04  7.13e+04 7.66e-17  6.95e+00     0s
   9  -2.63178628e+04 -6.46737415e+04  6.85e+04 6.26e-17  5.82e+00     0s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 8.1098323e-16      1s

Crossover time: 0.15 seconds (0.06 work units)

Solved with barrier
  10  -3.03154227e+04 -5.48277933e+04  3.15e+04 5.83e-17  3.47e+00     0s
  11  -3.21551027e+04 -4.91272302e+04  2.27e+04 3.10e-17  2.40e+00     0s
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1552   -2.2520548e+04   0.000000e+00   0.000000e+00      1s

Solved in 1552 iterations and 0.67 seconds (0.24 work units)
Optimal objective -2.252054807e+04
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.06s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

  12  -3.25366568e+04 -4.62450495e+04  1.44e+04 6.12e-17  1.86e+00     0s
  13  -3.30762195e+04 -4.58026568e+04  1.32e+04 5.58e-17  1.73e+00     0s
  14  -3.35871397e+04 -4.33377709e+04  1.08e+04 4.27e-17  1.33e+00     0s
Ordering time: 0.01s
  15  -3.35449705e+04 -4.27830560e+04  1.04e+04 5.38e-17  1.26e+00     0s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
  16  -3.42295005e+04 -3.88663306e+04  6.80e+03 1.15e-09  6.55e-01     0s

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0   3.58693555e+04 -6.10564897e+06  7.39e+08 3.86e-02  1.20e+05     0s
  17  -3.46825684e+04 -3.68635668e+04  1.36e+03 2.31e-09  2.81e-01     0s
  18  -3.49299936e+04 -3.59246834e+04  7.27e+02 4.93e-09  1.29e-01     0s
   1   1.21738960e+05 -5.87821878e+06  1.10e+08 1.30e-01  6.43e+04     0s
  19  -3.51826977e+04 -3.53361097e+04  7.92e+01 6.62e-09  1.96e-02     0s

  20  -3.52094381e+04 -3.52640280e+04  2.17e+01 4.73e-09  6.94e-03     0s
   2   1.47583282e+05 -1.83207613e+06  5.87e+07 2.49e-03  9.56e+03     0s
  21  -3.52184317e+04 -3.52304842e+04  5.34e+00 1.57e-08  1.70e-03     0s
  22  -3.52212044e+04 -3.52241765e+04  5.79e-01 4.69e-09  4.18e-04     0s
   3   1.93590649e+04 -8.66683725e+05  3.50e+06 1.56e-04  7.35e+02     0s
  23  -3.52215839e+04 -3.52216999e+04  4.77e-02 1.16e-08  1.36e-04     0s
  24  -3.52216056e+04 -3.52210236e+04  2.65e-02 9.78e-09  3.11e-05     0s
  25  -3.52216226e+04 -3.52210748e+04  2.93e-05 8.40e-09  2.04e-05     0s
   4   1.36986340e+04 -2.65989767e+05  4.72e+05 1.55e-06  1.11e+02     0s
  26  -3.52216388e+04 -3.52209318e+04  9.57e-08 8.66e-09  3.37e-06     0s
   5   1.11101986e+04 -1.58564864e+05  2.04e+05 1.68e-07  5.42e+01     0s
  27  -3.52216324e+04 -3.52212341e+04  3.19e-08 4.96e-09  2.36e-06     0s
  28  -3.52216407e+04 -3.52212364e+04  3.03e-08 4.84e-09  1.82e-07     0s
   6   8.62565670e+03 -8.78453350e+04  1.30e+05 1.72e-15  2.94e+01     0s
  29  -3.52216408e+04 -3.52215652e+04  2.65e-08 9.09e-10  7.49e-08     0s
  30  -3.52216412e+04 -3.52216372e+04  5.15e-08 4.75e-11  3.90e-09     0s
   7   4.41128878e+03 -6.41144107e+04  7.59e+04 5.27e-16  1.96e+01     0s

Barrier solved model in 30 iterations and 0.45 seconds (0.19 work units)
Optimal objective -3.52216412e+04

Crossover log...

   8   2.71054601e+03 -4.81702960e+04  6.09e+04 1.17e-15  1.45e+01     0s
      12 DPushes remaining with DInf 0.0000000e+00                 0s
       0 DPushes remaining with DInf 0.0000000e+00                 0s

    1704 PPushes remaining with PInf 0.0000000e+00                 0s
   9  -3.66191699e+02 -4.37715119e+04  4.63e+04 8.33e-16  1.21e+01     0s
  10  -1.57130351e+03 -3.51195151e+04  3.47e+04 8.60e-16  9.20e+00     0s
  11  -3.86995447e+03 -2.24307412e+04  1.94e+04 6.66e-16  5.03e+00     0s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 9.4195485e-16      1s

  12  -4.58663108e+03 -2.18499377e+04  1.74e+04 9.16e-16  4.65e+00     0s
Crossover time: 0.08 seconds (0.07 work units)

Solved with barrier
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1719   -3.5221641e+04   0.000000e+00   0.000000e+00      1s

Solved in 1719 iterations and 0.54 seconds (0.26 work units)
Optimal objective -3.522164125e+04
  13  -4.67571710e+03 -2.13757534e+04  1.55e+04 1.44e-15  4.46e+00     0s

  14  -5.46666657e+03 -1.62778514e+04  1.22e+04 6.11e-16  2.93e+00     0s
  15  -5.78874314e+03 -1.52475093e+04  9.33e+03 7.49e-16  2.52e+00     0s
  16  -5.94520897e+03 -1.50091449e+04  8.66e+03 5.55e-16  2.41e+00     0s
  17  -6.11458684e+03 -1.43565628e+04  7.09e+03 5.27e-16  2.16e+00     0s
  18  -6.56693923e+03 -1.38287015e+04  4.08e+03 4.44e-16  1.85e+00     0s
  19  -7.06584066e+03 -1.16150321e+04  2.59e+03 5.55e-17  1.16e+00     0s
  20  -7.65073098e+03 -1.06813586e+04  6.94e+02 4.56e-17  7.47e-01     0s
  21  -7.66404846e+03 -9.88592279e+03  6.43e+02 3.39e-17  5.51e-01     0s
  22  -7.77485849e+03 -8.85011929e+03  3.73e+02 4.44e-16  2.68e-01     0s
  23  -7.85932347e+03 -8.27847277e+03  1.54e+02 5.83e-16  1.04e-01     0s
  24  -7.87577287e+03 -7.98672215e+03  1.15e+02 1.76e-09  2.92e-02     1s
  25  -7.91119857e+03 -7.94932855e+03  3.14e+01 6.11e-16  9.93e-03     1s
  26  -7.92416873e+03 -7.92910228e+03  1.24e+00 5.38e-09  1.07e-03     1s

  27  -7.92535461e+03 -7.92544228e+03  5.91e-08 6.52e-10  3.67e-06     1s
  28  -7.92535824e+03 -7.92535825e+03  2.12e-08 2.71e-13  3.67e-09     1s

Barrier solved model in 28 iterations and 0.59 seconds (0.17 work units)
Optimal objective -7.92535824e+03

Crossover log...

      28 DPushes remaining with DInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    1759 PPushes remaining with PInf 0.0000000e+00                 1s

       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 1.5976803e-15      1s

Crossover time: 0.23 seconds (0.10 work units)

Solved with barrier
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1790   -7.9253582e+03   0.000000e+00   0.000000e+00      1s

Solved in 1790 iterations and 0.83 seconds (0.28 work units)
Optimal objective -7.925358241e+03

INFO:pypsa.network.io:Exported network 'Model-Energy' saved to '/tmp/tmpby6ki6vq.nc contains: buses, stores, loads, generators, links, carriers, sub_networks, storage_units

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)
/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)
/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)
/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(
/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(
/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Read LP format model from file /tmp/linopy-problem-t6mfccz3.lp
Reading time = 0.10 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0xb75e35e9
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [4e-01, 9e-01]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.05s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.01s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -5.01489996e+04 -1.90216978e+07  7.39e+08 9.96e-02  1.87e+05     0s
   1  -7.54199826e+05 -1.78123085e+07  1.11e+08 2.00e-01  9.80e+04     0s

   2  -6.54171688e+05 -6.44318082e+06  6.31e+07 3.75e-03  1.68e+04     0s
   3  -5.90421126e+04 -2.82408240e+06  2.31e+06 1.62e-04  8.97e+02     0s
   4  -4.75735405e+04 -9.95727791e+05  5.27e+05 8.67e-16  1.91e+02     0s
   5  -4.72954804e+04 -4.90769577e+05  1.83e+05 3.39e-16  6.86e+01     0s
   6  -4.93743036e+04 -1.90075175e+05  1.07e+05 2.50e-16  2.09e+01     0s
   7  -5.33760809e+04 -1.47883717e+05  6.51e+04 1.98e-16  1.32e+01     0s
   8  -5.63937881e+04 -1.15815694e+05  3.65e+04 8.80e-17  7.97e+00     0s
   9  -5.96084657e+04 -1.06115782e+05  2.88e+04 8.33e-17  6.21e+00     0s
  10  -6.33647680e+04 -9.86863567e+04  2.08e+04 3.54e-17  4.67e+00     0s
  11  -6.72889857e+04 -8.83901241e+04  9.78e+03 5.24e-17  2.73e+00     0s
  12  -6.81471781e+04 -8.43359465e+04  6.99e+03 7.12e-17  2.08e+00     0s
  13  -6.92194862e+04 -7.63896124e+04  4.42e+03 4.69e-17  9.45e-01     0s
  14  -7.00120413e+04 -7.51798163e+04  2.82e+03 7.19e-17  6.75e-01     0s
  15  -7.00658645e+04 -7.30712600e+04  2.67e+03 9.07e-09  4.10e-01     0s
  16  -7.08422458e+04 -7.18502962e+04  7.17e+02 1.10e-08  1.34e-01     0s
  17  -7.10228287e+04 -7.12978818e+04  2.48e+02 1.56e-08  3.69e-02     0s
  18  -7.10892579e+04 -7.11504726e+04  4.77e+01 4.94e-09  8.01e-03     0s
  19  -7.11038807e+04 -7.11098097e+04  9.26e+00 1.13e-09  8.30e-04     0s
  20  -7.11074578e+04 -7.11088297e+04  7.15e-02 8.61e-10  1.39e-04     0s
  21  -7.11076138e+04 -7.11076317e+04  8.39e-07 4.48e-11  1.79e-07     0s
  22  -7.11076143e+04 -7.11076144e+04  7.89e-08 6.90e-13  1.80e-10     0s

Barrier solved model in 22 iterations and 0.27 seconds (0.14 work units)
Optimal objective -7.11076143e+04

Crossover log...

      91 DPushes remaining with DInf 0.0000000e+00                 0s

       0 DPushes remaining with DInf 0.0000000e+00                 0s

    2077 PPushes remaining with PInf 0.0000000e+00                 0s
       0 PPushes remaining with PInf 0.0000000e+00                 0s

  Push phase complete: Pinf 0.0000000e+00, Dinf 2.4633073e-15      0s

Crossover time: 0.15 seconds (0.07 work units)

Solved with barrier
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    2170   -7.1107614e+04   0.000000e+00   0.000000e+00      0s

Solved in 2170 iterations and 0.45 seconds (0.22 work units)
Optimal objective -7.110761433e+04

Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Read LP format model from file /tmp/linopy-problem-3rjfru3a.lp
Reading time = 0.06 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x506c51fa
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [6e-01, 8e-01]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.04s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.01s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0   4.44699623e+04 -8.49418387e+06  7.35e+08 0.00e+00  8.29e+04     0s
   1   3.14031860e+05 -7.93348041e+06  1.13e+08 6.91e-02  4.26e+04     0s
   2   3.75059663e+05 -2.41241934e+06  5.53e+07 1.52e-03  5.79e+03     0s
   3   5.38803362e+04 -1.09246790e+06  3.05e+06 9.23e-05  4.27e+02     0s
   4   4.17404990e+04 -3.55799231e+05  4.00e+05 1.48e-06  7.20e+01     0s
   5   4.09392381e+04 -1.45462971e+05  1.54e+05 2.24e-07  2.77e+01     0s
   6   4.01965482e+04 -6.22750715e+03  5.96e+04 8.61e-17  6.48e+00     0s

   7   3.75521039e+04  1.02861973e+04  1.46e+04 6.24e-17  3.44e+00     0s
   8   3.61324685e+04  2.52488737e+04  6.71e+03 3.49e-17  1.35e+00     0s
   9   3.49115793e+04  2.97691294e+04  3.12e+03 5.31e-08  6.33e-01     0s
  10   3.42761744e+04  3.16992273e+04  1.33e+03 6.46e-08  3.15e-01     0s
  11   3.39055437e+04  3.26074574e+04  4.76e+02 3.24e-08  1.59e-01     0s
  12   3.37977607e+04  3.28412232e+04  2.66e+02 3.91e-08  1.18e-01     0s
  13   3.36831032e+04  3.33830185e+04  9.28e+01 5.16e-08  3.83e-02     0s
  14   3.36379391e+04  3.34660526e+04  3.57e+01 5.05e-08  2.29e-02     0s
  15   3.36220659e+04  3.35416765e+04  2.04e+01 5.49e-08  1.24e-02     0s
  16   3.36200589e+04  3.35460238e+04  1.86e+01 5.37e-08  1.16e-02     0s
  17   3.36130628e+04  3.35591698e+04  1.22e+01 4.91e-08  8.93e-03     0s

  18   3.36047831e+04  3.36020752e+04  1.83e+00 2.44e-08  1.60e-03     0s
  19   3.36028747e+04  3.36037295e+04  8.03e-01 1.26e-08  4.12e-04     0s
  20   3.36014478e+04  3.36037857e+04  9.98e-02 1.07e-08  1.87e-04     0s
  21   3.36011892e+04  3.36023988e+04  5.58e-08 3.85e-09  9.19e-06     0s
  22   3.36011721e+04  3.36011717e+04  9.31e-10 1.79e-12  9.23e-09     0s

Barrier solved model in 22 iterations and 0.47 seconds (0.14 work units)
Optimal objective 3.36011721e+04

Crossover log...

      14 DPushes remaining with DInf 0.0000000e+00                 1s
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
       0 DPushes remaining with DInf 0.0000000e+00                 1s
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de

    3593 PPushes remaining with PInf 0.0000000e+00                 1s

Read LP format model from file /tmp/linopy-problem-6va08_zx.lp
Reading time = 0.08 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x8a495a3b
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [7e-01, 7e-01]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.05s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.02s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0   1.50394802e+04 -8.49623936e+06  7.39e+08 4.33e-02  8.34e+04     0s
   1  -3.54553138e+04 -7.53019043e+06  1.06e+08 8.76e-02  4.11e+04     0s
   2  -1.71454839e+04 -2.65397862e+06  5.73e+07 1.07e-03  6.52e+03     0s
   3  -4.09659844e+03 -1.22991618e+06  1.80e+06 2.84e-05  3.33e+02     0s

   4  -4.48685164e+03 -3.28156156e+05  4.50e+05 4.68e-16  6.29e+01     0s
   5  -7.67846605e+03 -1.64016336e+05  1.94e+05 1.79e-16  2.49e+01     0s
   6  -1.05757878e+04 -9.52242013e+04  1.49e+05 9.94e-17  1.36e+01     0s
   7  -1.55236854e+04 -7.68534382e+04  8.61e+04 8.30e-17  9.15e+00     0s
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
   8  -2.01635052e+04 -6.49793375e+04  6.25e+04 4.83e-17  6.57e+00     0s
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
   9  -2.16024349e+04 -6.21617769e+04  4.66e+04 7.12e-17  5.74e+00     0s
  10  -2.32612587e+04 -5.51836545e+04  4.00e+04 7.39e-17  4.53e+00     0s
  11  -2.56599043e+04 -4.60674585e+04  2.42e+04 3.13e-17  2.84e+00     0s
  12  -2.63453076e+04 -4.59467332e+04  2.24e+04 5.10e-17  2.72e+00     0s
  13  -2.71065407e+04 -4.29028780e+04  1.80e+04 3.69e-17  2.18e+00     0s
  14  -2.71385491e+04 -4.12745206e+04  1.75e+04 7.19e-17  1.96e+00     0s
  15  -2.82417861e+04 -4.03944857e+04  1.05e+04 5.72e-17  1.62e+00     0s
Read LP format model from file /tmp/linopy-problem-214_cu6n.lp
  16  -2.87807045e+04 -3.69618089e+04  7.96e+03 4.32e-17  1.10e+00     0s
Reading time = 0.11 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0xf9cbe584
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [7e-03, 1e+00]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

  17  -2.90491331e+04 -3.53787761e+04  6.29e+03 5.96e-11  8.51e-01     0s
  18  -2.96174785e+04 -3.39616315e+04  2.09e+03 1.97e-10  5.52e-01     0s
  19  -2.96719390e+04 -3.12370692e+04  1.79e+03 5.35e-10  2.12e-01     0s
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
  20  -2.99408598e+04 -3.02716308e+04  2.64e+02 1.56e-09  4.36e-02     0s
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.08s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

  21  -2.99818485e+04 -3.00617578e+04  9.86e+01 9.20e-09  1.11e-02     0s
  22  -3.00014332e+04 -3.00137689e+04  2.11e+01 5.37e-09  1.86e-03     1s
  23  -3.00075972e+04 -3.00076884e+04  8.23e-08 2.02e-10  1.36e-05     1s
Ordering time: 0.03s
  24  -3.00076230e+04 -3.00076247e+04  1.44e-08 1.04e-11  3.09e-08     1s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
  25  -3.00076230e+04 -3.00076230e+04  7.68e-09 6.76e-15  3.09e-11     1s

Barrier solved model in 25 iterations and 0.55 seconds (0.16 work units)
Optimal objective -3.00076230e+04

Read LP format model from file /tmp/linopy-problem-eukpq0up.lp
Reading time = 0.09 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Crossover log...

Model fingerprint: 0x5014685d
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [2e-01, 1e+00]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.


                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -2.19660480e+04 -1.12305307e+07  7.39e+08 4.70e-01  8.82e+05     0s
      13 DPushes remaining with DInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    1584 PPushes remaining with PInf 0.0000000e+00                 1s
   1  -3.63883598e+05 -9.81238554e+06  1.06e+08 9.15e-01  4.28e+05     0s

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.07s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

   2  -2.46359593e+05 -3.64658134e+06  5.66e+07 1.03e-02  6.96e+04     0s
Ordering time: 0.02s
   3  -2.89942009e+04 -1.66956583e+06  1.40e+06 1.67e-04  3.14e+03     0s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
   4  -2.77456955e+04 -4.35023212e+05  4.20e+05 5.47e-15  6.17e+02     0s
       0 PPushes remaining with PInf 0.0000000e+00                 1s


                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0   1.13616314e+04 -5.04837552e+06  7.39e+08 5.16e-02  9.91e+04     0s
  Push phase complete: Pinf 0.0000000e+00, Dinf 1.5070410e-15      1s

Crossover time: 0.16 seconds (0.06 work units)

Solved with barrier
   5  -2.94344446e+04 -2.04337421e+05  1.63e+05 2.59e-15  2.14e+02     0s
   1  -2.87740353e+04 -4.65900648e+06  1.13e+08 1.03e-01  5.03e+04     0s
   6  -3.13265735e+04 -1.39324654e+05  1.05e+05 1.44e-15  1.24e+02     0s
   2   2.60876559e+04 -1.58314645e+06  6.08e+07 1.55e-03  7.87e+03     0s
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1600   -3.0007623e+04   0.000000e+00   0.000000e+00      1s

Solved in 1600 iterations and 0.76 seconds (0.22 work units)
Optimal objective -3.000762303e+04
   7  -3.31159539e+04 -1.07962513e+05  7.62e+04 9.56e-16  8.39e+01     0s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 9.8017452e-04      1s

Iteration    Objective       Primal Inf.    Dual Inf.      Time
    3610    3.3601172e+04   0.000000e+00   9.801745e-04      1s
   3   1.12363728e+04 -7.04652301e+05  2.22e+06 8.79e-05  4.37e+02     0s
Crossover time: 0.95 seconds (0.45 work units)

Solved with barrier
   8  -3.56123436e+04 -9.93769585e+04  5.58e+04 8.06e-16  6.95e+01     0s
    3611    3.3601172e+04   0.000000e+00   0.000000e+00      1s

Solved in 3611 iterations and 1.43 seconds (0.60 work units)
Optimal objective  3.360117210e+04
   4   1.03399964e+04 -2.32747086e+05  4.85e+05 3.62e-06  9.40e+01     0s
   9  -4.00999579e+04 -9.02012384e+04  3.92e+04 4.45e-16  5.34e+01     0s

   5   8.52057046e+03 -9.47358289e+04  1.71e+05 6.13e-07  3.20e+01     0s
  10  -4.10598914e+04 -8.23956693e+04  3.58e+04 4.45e-16  4.42e+01     0s
   6   7.01841528e+03 -5.31596864e+04  1.22e+05 2.06e-07  1.83e+01     0s
  11  -4.33998101e+04 -7.42194771e+04  1.42e+04 2.98e-16  3.13e+01     0s
   7   5.33339971e+03 -3.67176297e+04  8.86e+04 2.14e-07  1.25e+01     0s
   8   2.89795336e+03 -2.75324560e+04  2.49e+04 2.31e-07  7.98e+00     0s
  12  -4.65352055e+04 -7.02213478e+04  9.48e+03 3.00e-16  2.38e+01     0s
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
   9   1.19256223e+03 -1.98472042e+04  1.65e+04 2.99e-07  5.48e+00     0s
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
  13  -4.69690661e+04 -6.50527492e+04  8.67e+03 2.31e-16  1.83e+01     1s
  10   8.30536072e+01 -1.75499117e+04  1.19e+04 3.22e-07  4.55e+00     0s
  11  -1.58192625e+02 -1.64292983e+04  9.22e+03 3.26e-07  4.16e+00     0s
  12  -8.23101764e+02 -1.21177495e+04  7.02e+03 3.36e-07  2.90e+00     0s
  14  -4.87719066e+04 -5.62653561e+04  4.31e+03 3.49e-16  7.65e+00     1s
  13  -9.40926282e+02 -1.11083430e+04  6.63e+03 3.22e-07  2.62e+00     0s
  15  -4.91426788e+04 -5.57170490e+04  3.70e+03 3.02e-16  6.70e+00     1s
  14  -1.69114759e+03 -8.41915691e+03  3.88e+03 3.02e-07  1.73e+00     0s
  16  -4.96445265e+04 -5.49500048e+04  2.26e+03 3.34e-16  5.34e+00     1s
  15  -1.86622191e+03 -7.20392560e+03  3.38e+03 2.64e-07  1.38e+00     0s
  17  -4.96238327e+04 -5.20710498e+04  1.95e+03 2.66e-16  2.53e+00     1s
  16  -1.87431832e+03 -6.93743246e+03  3.23e+03 2.62e-07  1.31e+00     0s
  18  -5.02657255e+04 -5.10860099e+04  6.76e+02 1.68e-16  8.48e-01     1s

Read LP format model from file /tmp/linopy-problem-0eai417n.lp
Reading time = 0.14 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

  19  -5.04442428e+04 -5.07514009e+04  3.35e+02 1.83e-09  3.24e-01     1s
  17  -2.29249675e+03 -6.50817196e+03  1.41e+03 2.54e-07  1.08e+00     0s
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0xf2780099
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [6e-01, 8e-01]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

  20  -5.05797405e+04 -5.06656563e+04  9.54e+01 2.76e-09  9.07e-02     1s
  18  -2.47155280e+03 -5.35381785e+03  8.18e+02 1.81e-07  7.34e-01     1s
  21  -5.06306241e+04 -5.06527961e+04  6.63e+00 2.78e-09  2.19e-02     1s
  19  -2.53184798e+03 -4.70241269e+03  6.47e+02 1.29e-07  5.52e-01     1s
  22  -5.06328093e+04 -5.06380579e+04  3.39e+00 7.49e-10  5.33e-03     1s
  20  -2.54979862e+03 -4.38178072e+03  5.64e+02 1.09e-07  4.66e-01     1s
  23  -5.06339486e+04 -5.06362525e+04  1.70e+00 5.64e-10  2.36e-03     1s
  24  -5.06347052e+04 -5.06352029e+04  4.99e-01 2.53e-10  5.20e-04     1s
  21  -2.58875709e+03 -4.23354707e+03  4.25e+02 1.00e-07  4.17e-01     1s
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.10s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

  25  -5.06350020e+04 -5.06350313e+04  2.35e-02 8.44e-11  3.02e-05     1s
  26  -5.06350236e+04 -5.06350236e+04  2.14e-07 1.27e-11  4.91e-08     1s
  22  -2.70556071e+03 -3.63368797e+03  1.12e+02 4.06e-08  2.31e-01     1s
  27  -5.06350236e+04 -5.06350236e+04  8.68e-08 1.70e-14  4.91e-11     1s

Barrier solved model in 27 iterations and 0.77 seconds (0.17 work units)
Optimal objective -5.06350236e+04

  23  -2.72382732e+03 -3.53862942e+03  6.92e+01 3.08e-08  2.02e-01     1s
Crossover log...

Ordering time: 0.03s
  24  -2.73133860e+03 -3.50912471e+03  6.21e+01 2.68e-08  1.92e-01     1s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
       6 DPushes remaining with DInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    1968 PPushes remaining with PInf 0.0000000e+00                 1s
  25  -2.74804274e+03 -3.46073848e+03  3.59e+01 2.28e-08  1.75e-01     1s
  26  -2.75266691e+03 -3.28125538e+03  2.81e+01 1.83e-08  1.30e-01     1s

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time

   0  -2.03094896e+04 -1.61574652e+07  7.39e+08 8.46e-02  1.59e+05     0s
  27  -2.77211206e+03 -2.97778645e+03  3.03e+00 5.07e-09  5.01e-02     1s
   1  -4.63264317e+05 -1.49644520e+07  1.13e+08 1.60e-01  8.13e+04     0s
  28  -2.77635317e+03 -2.78872699e+03  1.46e+00 1.13e-09  3.14e-03     1s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 9.1419927e-15      1s

Crossover time: 0.13 seconds (0.06 work units)

Solved with barrier
  29  -2.77912328e+03 -2.78488791e+03  6.02e-01 8.17e-10  1.49e-03     1s
   2  -3.56051813e+05 -5.24678731e+06  6.23e+07 2.93e-03  1.33e+04     0s
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1977   -5.0635024e+04   0.000000e+00   0.000000e+00      1s

Solved in 1977 iterations and 0.92 seconds (0.23 work units)
Optimal objective -5.063502359e+04
  30  -2.77963344e+03 -2.78113090e+03  4.43e-01 3.28e-10  3.92e-04     1s
   3  -2.46788707e+04 -2.29969387e+06  2.37e+06 1.64e-04  7.44e+02     0s
  31  -2.78105599e+03 -2.78104161e+03  6.63e-04 2.17e-10  8.88e-06     1s
  32  -2.78107127e+03 -2.78098201e+03  8.39e-06 1.86e-10  1.88e-07     1s
   4  -1.71604465e+04 -7.11570103e+05  4.38e+05 3.12e-06  1.32e+02     0s
  33  -2.78107159e+03 -2.78106703e+03  5.77e-08 9.70e-12  7.28e-10     1s

Barrier solved model in 33 iterations and 0.84 seconds (0.20 work units)
Optimal objective -2.78107159e+03

Crossover log...

   5  -1.85951176e+04 -3.23935208e+05  1.33e+05 2.23e-07  4.50e+01     0s
   6  -2.32997364e+04 -1.40924905e+05  7.38e+04 1.70e-16  1.68e+01     0s
       3 DPushes remaining with DInf 0.0000000e+00                 1s

       0 DPushes remaining with DInf 0.0000000e+00                 1s

    1615 PPushes remaining with PInf 0.0000000e+00                 1s
   7  -2.69224809e+04 -1.03737630e+05  5.79e+04 1.17e-16  1.08e+01     0s
   8  -2.98026936e+04 -8.89790369e+04  2.70e+04 8.25e-17  7.80e+00     0s
   9  -3.28989450e+04 -7.34981728e+04  1.93e+04 6.67e-17  5.32e+00     0s
  10  -3.40049956e+04 -7.12550080e+04  1.73e+04 2.82e-17  4.87e+00     1s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 1.9272778e-15      1s

Crossover time: 0.17 seconds (0.07 work units)

Solved with barrier
  11  -3.72395168e+04 -6.50963042e+04  1.28e+04 4.42e-17  3.63e+00     1s
  12  -3.88774469e+04 -6.38811122e+04  1.01e+04 5.64e-17  3.23e+00     1s
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1621   -2.7810716e+03   0.000000e+00   0.000000e+00      1s

Solved in 1621 iterations and 1.05 seconds (0.27 work units)
Optimal objective -2.781071592e+03
  13  -4.06414658e+04 -5.75141339e+04  6.93e+03 7.45e-17  2.18e+00     1s

  14  -4.19747343e+04 -5.21926614e+04  4.61e+03 5.22e-08  1.33e+00     1s
  15  -4.26062544e+04 -4.78742198e+04  3.44e+03 1.00e-07  7.09e-01     1s
  16  -4.32446374e+04 -4.67751030e+04  2.13e+03 9.05e-08  4.74e-01     1s
  17  -4.36713853e+04 -4.57448106e+04  1.20e+03 7.19e-08  2.79e-01     1s
  18  -4.41691203e+04 -4.44303287e+04  1.28e+02 4.08e-08  3.73e-02     1s
  19  -4.42410242e+04 -4.42652639e+04  1.36e+00 1.09e-08  3.82e-03     1s
  20  -4.42423713e+04 -4.42522352e+04  1.82e-02 5.48e-09  1.63e-03     1s
  21  -4.42426004e+04 -4.42323175e+04  1.40e-03 2.65e-08  7.98e-04     1s
  22  -4.42426627e+04 -4.42402991e+04  6.68e-07 3.92e-09  1.29e-05     1s
  23  -4.42426812e+04 -4.42427237e+04  7.78e-08 7.24e-11  7.51e-08     1s
  24  -4.42426814e+04 -4.42426790e+04  7.89e-08 3.88e-12  1.98e-11     1s

Barrier solved model in 24 iterations and 0.77 seconds (0.15 work units)
Optimal objective -4.42426814e+04

Crossover log...

       5 DPushes remaining with DInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    1941 PPushes remaining with PInf 0.0000000e+00                 1s

       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 2.2759572e-15      1s

Crossover time: 0.09 seconds (0.07 work units)

Solved with barrier
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1949   -4.4242681e+04   0.000000e+00   0.000000e+00      1s

Solved in 1949 iterations and 0.88 seconds (0.23 work units)
Optimal objective -4.424268136e+04
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Read LP format model from file /tmp/linopy-problem-45u39913.lp
Reading time = 0.06 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x80fe4873
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [1e-01, 1e+00]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.05s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.01s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
Read LP format model from file /tmp/linopy-problem-zo8fw9h_.lp
Reading time = 0.13 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0xd75e5663
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [8e-02, 1e+00]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.


                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0   4.66081094e+04 -4.24709194e+06  7.31e+08 0.00e+00  8.25e+04     0s
   1   1.60047435e+05 -3.98705365e+06  1.12e+08 8.84e-02  4.26e+04     0s
   2   3.04573846e+05 -1.17069795e+06  5.61e+07 1.90e-03  4.90e+03     0s
   3   4.46917745e+04 -5.01590203e+05  4.97e+06 1.82e-04  5.21e+02     0s
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.09s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.02s
   4   2.63857681e+04 -1.56667965e+05  4.54e+05 7.32e-06  7.07e+01     0s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
   5   2.37825268e+04 -6.93198048e+04  2.33e+05 1.80e-06  3.12e+01     0s

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0   4.31423859e+04 -3.09217857e+06  7.39e+08 1.89e-02  1.21e+05     0s

   6   2.16675022e+04 -2.29320531e+04  1.64e+05 1.19e-16  1.55e+01     0s
   1   8.83293253e+04 -2.93045174e+06  1.11e+08 1.31e-01  6.40e+04     0s
   7   1.85538016e+04 -1.34316711e+04  8.75e+04 7.07e-17  1.00e+01     0s
   2   1.48065230e+05 -1.02565021e+06  5.80e+07 2.60e-03  1.10e+04     0s
   8   1.58121277e+04 -1.07364868e+04  5.25e+04 9.61e-17  7.74e+00     0s
   3   1.99941251e+04 -4.62367277e+05  2.96e+06 1.56e-04  7.48e+02     0s
   9   1.47577446e+04 -4.24934108e+03  3.79e+04 1.94e-16  5.47e+00     0s
  10   1.49816128e+04 -8.47892778e+02  3.56e+04 8.44e-17  4.60e+00     0s
   4   1.56742941e+04 -1.33080107e+05  5.06e+05 1.02e-06  1.25e+02     0s
  11   1.36730681e+04  5.91368982e+03  1.48e+04 2.78e-16  2.16e+00     0s
   5   1.31550880e+04 -7.21680884e+04  2.18e+05 4.47e-16  5.74e+01     0s
  12   1.31998708e+04  6.40206100e+03  1.12e+04 5.90e-17  1.86e+00     0s
   6   1.15746784e+04 -3.28219428e+04  1.45e+05 2.14e-16  3.06e+01     0s
  13   1.29015996e+04  8.52603668e+03  8.21e+03 4.72e-16  1.21e+00     0s
   7   9.21803863e+03 -2.18156102e+04  9.07e+04 1.90e-16  2.01e+01     0s
  14   1.27468132e+04  8.69489955e+03  7.28e+03 3.05e-16  1.12e+00     0s

   8   6.74319739e+03 -1.54193511e+04  5.76e+04 1.77e-16  1.37e+01     0s
  15   1.25559538e+04  8.89959501e+03  3.86e+03 3.05e-16  9.56e-01     1s
   9   7.22122286e+03 -1.11560569e+04  5.35e+04 9.60e-17  1.15e+01     0s
  16   1.23506167e+04  1.13103106e+04  1.17e+03 1.11e-16  2.71e-01     1s
  10   5.63763014e+03 -5.11565868e+03  3.19e+04 1.60e-16  6.65e+00     0s
  17   1.22319350e+04  1.19956164e+04  2.58e+02 3.45e-17  6.17e-02     1s
  11   4.62923057e+03 -2.25330170e+03  1.74e+04 1.09e-16  4.09e+00     0s
  18   1.21996603e+04  1.20556861e+04  1.07e+02 5.47e-11  3.67e-02     1s
  12   4.36345488e+03 -1.60294642e+03  1.43e+04 7.77e-16  3.50e+00     1s
  19   1.21840336e+04  1.21385355e+04  2.78e+01 1.19e-09  1.14e-02     1s
  13   4.18642454e+03  5.10089357e+02  7.21e+03 1.07e-16  2.07e+00     1s
  20   1.21776999e+04  1.21628077e+04  1.87e+00 2.56e-09  3.54e-03     1s
  14   3.78714344e+03  1.66838140e+03  2.95e+03 9.08e-17  1.14e+00     1s
  21   1.21770804e+04  1.21765382e+04  8.07e-03 1.84e-09  5.55e-05     1s

  15   3.70918135e+03  2.27714150e+03  2.24e+03 8.94e-17  7.79e-01     1s
  22   1.21769994e+04  1.21769514e+04  5.73e-08 3.01e-10  3.63e-07     1s
  16   3.66512383e+03  2.36370007e+03  1.95e+03 5.22e-09  7.05e-01     1s
  23   1.21769993e+04  1.21769993e+04  2.14e-08 3.19e-13  3.63e-10     1s

Barrier solved model in 23 iterations and 0.74 seconds (0.15 work units)
Optimal objective 1.21769993e+04

Crossover log...

  17   3.58880817e+03  2.90864626e+03  1.07e+03 1.61e-09  3.70e-01     1s
  18   3.48182953e+03  3.33959879e+03  2.28e+02 7.61e-09  7.73e-02     1s
      19 DPushes remaining with DInf 0.0000000e+00                 1s
  19   3.45467701e+03  3.41629330e+03  5.64e+01 1.07e-16  2.08e-02     1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    1239 PPushes remaining with PInf 0.0000000e+00                 1s
  20   3.44496224e+03  3.43520437e+03  4.96e+00 3.27e-10  4.96e-03     1s
  21   3.44380903e+03  3.44399415e+03  1.28e-01 8.05e-09  1.87e-04     1s
  22   3.44377127e+03  3.44379855e+03  3.60e-04 8.72e-10  1.46e-05     1s
  23   3.44375210e+03  3.44384795e+03  5.96e-05 1.64e-09  2.32e-06     1s

       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 1.4311469e-15      1s

Crossover time: 0.19 seconds (0.05 work units)
  24   3.44374908e+03  3.44378620e+03  1.97e-06 6.17e-10  3.20e-07     1s

Solved with barrier
  25   3.44374866e+03  3.44375084e+03  4.14e-08 3.58e-11  1.88e-09     1s

Barrier solved model in 25 iterations and 0.86 seconds (0.16 work units)
Optimal objective 3.44374866e+03

Crossover log...

Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1261    1.2176999e+04   0.000000e+00   0.000000e+00      1s

Solved in 1261 iterations and 0.97 seconds (0.20 work units)
Optimal objective  1.217699932e+04
      22 DPushes remaining with DInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    1350 PPushes remaining with PInf 0.0000000e+00                 1s

       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 2.8588243e-15      1s

Crossover time: 0.19 seconds (0.05 work units)

Solved with barrier

Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1375    3.4437487e+03   0.000000e+00   0.000000e+00      1s

Solved in 1375 iterations and 1.08 seconds (0.21 work units)
Optimal objective  3.443748662e+03

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(
/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)
/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)
/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Read LP format model from file /tmp/linopy-problem-vtmm5imi.lp
Reading time = 0.10 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x03ff0bcd
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [7e-01, 8e-01]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.07s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.02s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -1.24165026e+04 -1.37319655e+07  7.39e+08 7.19e-02  1.35e+05     0s
   1  -3.60465678e+05 -1.27128049e+07  1.13e+08 1.32e-01  6.90e+04     0s
   2  -2.59420961e+05 -4.44558269e+06  6.21e+07 2.45e-03  1.13e+04     0s
   3  -1.50747874e+04 -1.97942380e+06  2.30e+06 1.35e-04  6.22e+02     0s
   4  -9.87742089e+03 -6.20783943e+05  4.54e+05 3.40e-06  1.17e+02     0s
   5  -1.13503570e+04 -2.80903054e+05  1.38e+05 4.36e-07  3.98e+01     0s
   6  -1.48543534e+04 -1.15736505e+05  8.11e+04 1.70e-16  1.46e+01     0s
   7  -1.70519438e+04 -8.66625448e+04  6.51e+04 1.36e-16  9.92e+00     0s
   8  -2.25314438e+04 -7.75274148e+04  2.97e+04 1.20e-16  7.30e+00     0s
   9  -2.49578226e+04 -6.15143159e+04  2.20e+04 8.56e-17  4.85e+00     0s

  10  -2.77051983e+04 -5.88027056e+04  1.63e+04 8.58e-17  4.07e+00     0s
  11  -2.87061596e+04 -4.99046378e+04  1.42e+04 1.06e-16  2.82e+00     0s
  12  -3.03000550e+04 -4.72483375e+04  1.11e+04 2.99e-08  2.25e+00     0s
  13  -3.05766950e+04 -4.58070189e+04  1.05e+04 5.20e-08  2.03e+00     0s
  14  -3.18179159e+04 -4.23001752e+04  5.51e+03 1.27e-07  1.37e+00     0s
  15  -3.29209330e+04 -3.91635502e+04  3.10e+03 1.38e-07  8.17e-01     0s
  16  -3.32521850e+04 -3.85347294e+04  2.32e+03 1.16e-07  6.86e-01     0s
  17  -3.38186121e+04 -3.58852981e+04  9.63e+02 1.28e-07  2.75e-01     0s
  18  -3.40683556e+04 -3.50769750e+04  5.15e+02 1.07e-07  1.39e-01     0s
  19  -3.42950433e+04 -3.45243375e+04  5.99e+01 4.37e-08  3.23e-02     0s
  20  -3.43352789e+04 -3.43585679e+04  1.04e+01 4.28e-08  6.54e-03     0s
  21  -3.43443245e+04 -3.43338787e+04  7.81e-01 1.82e-08  2.70e-04     1s

  22  -3.43452796e+04 -3.43452286e+04  8.52e-07 8.62e-11  7.50e-07     1s
  23  -3.43452827e+04 -3.43452620e+04  5.03e-08 3.19e-11  1.37e-09     1s

Barrier solved model in 23 iterations and 0.54 seconds (0.15 work units)
Optimal objective -3.43452827e+04

Crossover log...

       4 DPushes remaining with DInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    1926 PPushes remaining with PInf 0.0000000e+00                 1s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 2.3869795e-15      1s

Crossover time: 0.15 seconds (0.08 work units)

Solved with barrier

Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1933   -3.4345283e+04   0.000000e+00   0.000000e+00      1s

Solved in 1933 iterations and 0.73 seconds (0.23 work units)
Optimal objective -3.434528269e+04
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de

Read LP format model from file /tmp/linopy-problem-jwoa57vz.lp
Reading time = 0.14 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0xd745c20f
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [5e-01, 9e-01]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.07s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.02s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0   1.06404212e+03 -1.00687702e+07  7.39e+08 5.27e-02  9.89e+04     0s
   1  -1.69757865e+05 -8.84390100e+06  1.06e+08 1.03e-01  4.82e+04     0s
   2  -1.07287735e+05 -3.18551344e+06  5.67e+07 1.15e-03  7.69e+03     0s
   3  -1.42096697e+04 -1.46307192e+06  1.55e+06 2.34e-05  3.64e+02     0s

   4  -1.35555801e+04 -3.92314221e+05  4.50e+05 4.27e-16  7.34e+01     0s
   5  -1.66012714e+04 -1.72826466e+05  1.68e+05 2.35e-16  2.41e+01     0s
   6  -2.01390029e+04 -1.08937991e+05  1.18e+05 1.62e-16  1.34e+01     0s
   7  -2.55902719e+04 -9.47704974e+04  7.96e+04 1.41e-16  1.00e+01     0s
   8  -2.95845802e+04 -7.85205677e+04  5.91e+04 7.43e-17  7.00e+00     0s
   9  -3.15900326e+04 -7.36770068e+04  4.38e+04 8.41e-17  5.86e+00     0s
  10  -3.27459497e+04 -6.50311400e+04  3.09e+04 6.28e-17  4.40e+00     0s
  11  -3.52936415e+04 -5.79188417e+04  2.23e+04 5.33e-17  3.08e+00     0s
  12  -3.69254333e+04 -5.21150770e+04  1.68e+04 6.44e-17  2.09e+00     0s
  13  -3.76391272e+04 -5.17680136e+04  1.47e+04 6.29e-17  1.93e+00     0s
  14  -3.73032568e+04 -5.07042456e+04  1.42e+04 5.55e-17  1.83e+00     0s
  15  -3.83208781e+04 -4.82294517e+04  8.41e+03 5.95e-17  1.32e+00     0s
  16  -3.96485967e+04 -4.17585359e+04  1.79e+03 6.63e-17  2.79e-01     0s
  17  -3.98540827e+04 -4.16591476e+04  1.11e+03 6.86e-10  2.32e-01     0s
  18  -3.99730051e+04 -4.08942949e+04  7.53e+02 1.24e-09  1.21e-01     0s
  19  -4.00667802e+04 -4.05336129e+04  4.58e+02 6.94e-09  6.21e-02     0s
  20  -4.02015470e+04 -4.03410785e+04  9.20e+01 9.44e-09  1.79e-02     0s
  21  -4.02354095e+04 -4.03001157e+04  1.01e+01 5.93e-09  7.87e-03     0s

  22  -4.02389773e+04 -4.02437930e+04  3.17e+00 2.25e-10  6.17e-04     0s
  23  -4.02412009e+04 -4.02413667e+04  9.18e-02 1.55e-10  1.98e-05     0s
  24  -4.02412856e+04 -4.02412864e+04  2.09e-06 9.02e-12  2.63e-08     0s
  25  -4.02412856e+04 -4.02412856e+04  1.33e-08 7.54e-15  2.63e-11     0s

Barrier solved model in 25 iterations and 0.44 seconds (0.16 work units)
Optimal objective -4.02412856e+04

Crossover log...

       8 DPushes remaining with DInf 0.0000000e+00                 0s
       0 DPushes remaining with DInf 0.0000000e+00                 0s

    1757 PPushes remaining with PInf 0.0000000e+00                 0s
       0 PPushes remaining with PInf 0.0000000e+00                 0s

  Push phase complete: Pinf 0.0000000e+00, Dinf 6.2493413e-16      0s

Crossover time: 0.07 seconds (0.06 work units)

Solved with barrier
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1768   -4.0241286e+04   0.000000e+00   0.000000e+00      1s

Solved in 1768 iterations and 0.52 seconds (0.22 work units)
Optimal objective -4.024128564e+04
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de

Read LP format model from file /tmp/linopy-problem-eudykc04.lp
Reading time = 0.12 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x8628b368
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [5e-01, 9e-01]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.07s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.01s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -5.01424328e+04 -1.82730917e+07  7.39e+08 9.57e-02  1.79e+05     0s
   1  -7.46287516e+05 -1.71241772e+07  1.11e+08 1.92e-01  9.43e+04     0s
   2  -6.45863548e+05 -6.22117813e+06  6.32e+07 3.60e-03  1.62e+04     0s
   3  -5.88130076e+04 -2.72791414e+06  2.29e+06 1.53e-04  8.61e+02     0s

   4  -4.76844102e+04 -9.19107272e+05  5.17e+05 1.54e-15  1.76e+02     0s
   5  -4.75126295e+04 -4.39454591e+05  1.69e+05 4.50e-16  6.00e+01     0s
   6  -4.93206941e+04 -1.77006011e+05  1.02e+05 2.28e-16  1.90e+01     0s
   7  -5.28618646e+04 -1.40189950e+05  6.45e+04 1.75e-16  1.23e+01     0s
   8  -5.65777813e+04 -1.07521684e+05  3.50e+04 9.32e-17  6.85e+00     0s
   9  -5.86988723e+04 -1.00442789e+05  2.82e+04 8.31e-17  5.58e+00     0s
  10  -6.01307508e+04 -9.59082121e+04  2.47e+04 5.25e-17  4.77e+00     0s
  11  -6.23191718e+04 -8.85526856e+04  1.99e+04 5.74e-17  3.53e+00     0s
  12  -6.49713218e+04 -8.37278295e+04  1.33e+04 3.46e-17  2.50e+00     0s
  13  -6.57350387e+04 -8.25614936e+04  1.14e+04 6.56e-17  2.23e+00     0s
  14  -6.80280784e+04 -7.73863601e+04  4.84e+03 6.25e-17  1.21e+00     0s

  15  -6.81523213e+04 -7.69081264e+04  4.25e+03 6.31e-17  1.13e+00     0s
  16  -6.83552750e+04 -7.25538146e+04  3.73e+03 6.28e-17  5.70e-01     0s
  17  -6.90641754e+04 -7.03661601e+04  1.82e+03 2.74e-08  1.89e-01     0s
  18  -6.96907778e+04 -6.99303019e+04  3.76e+02 2.71e-08  3.64e-02     0s
  19  -6.97903968e+04 -6.98882695e+04  1.61e+02 7.68e-09  1.48e-02     1s
  20  -6.98458903e+04 -6.98767065e+04  4.71e+01 5.27e-09  4.74e-03     1s
  21  -6.98687188e+04 -6.98688220e+04  1.50e+00 4.83e-09  2.49e-04     1s
  22  -6.98697577e+04 -6.98697171e+04  2.89e-07 1.22e-10  3.48e-07     1s
  23  -6.98697590e+04 -6.98697588e+04  7.92e-09 5.06e-13  3.48e-10     1s

Barrier solved model in 23 iterations and 0.60 seconds (0.15 work units)
Optimal objective -6.98697590e+04

Crossover log...

     119 DPushes remaining with DInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    2097 PPushes remaining with PInf 0.0000000e+00                 1s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 1.3791052e-15      1s

Crossover time: 0.21 seconds (0.08 work units)

Solved with barrier
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    2219   -6.9869759e+04   0.000000e+00   0.000000e+00      1s

Solved in 2219 iterations and 0.82 seconds (0.23 work units)
Optimal objective -6.986975898e+04

Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Read LP format model from file /tmp/linopy-problem-gf34g55g.lp
Reading time = 0.13 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0xb115fc1c
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [4e-01, 9e-01]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.06s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.01s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0   3.82232835e+04 -8.49418387e+06  7.35e+08 0.00e+00  8.30e+04     0s
   1   2.70460912e+05 -7.92955939e+06  1.13e+08 6.96e-02  4.26e+04     0s
   2   3.31567017e+05 -2.41956135e+06  5.54e+07 1.52e-03  5.80e+03     0s
   3   4.84382284e+04 -1.09367193e+06  2.97e+06 8.76e-05  4.19e+02     0s
   4   3.81960615e+04 -3.66636623e+05  4.09e+05 1.61e-06  7.37e+01     0s
   5   3.75991883e+04 -1.49255397e+05  1.74e+05 2.58e-07  2.85e+01     0s
   6   3.70432703e+04 -1.66972190e+04  1.01e+05 1.07e-16  7.92e+00     0s
   7   3.46332141e+04  1.43154487e+04  1.08e+04 4.08e-17  2.53e+00     0s
   8   3.35063030e+04  2.43638370e+04  5.52e+03 1.87e-07  1.14e+00     0s
   9   3.23384538e+04  2.70367488e+04  2.47e+03 3.02e-07  6.74e-01     0s
  10   3.17927204e+04  2.87735326e+04  1.21e+03 3.24e-07  3.98e-01     0s
  11   3.14633443e+04  2.94795634e+04  5.57e+02 2.73e-07  2.67e-01     0s
  12   3.12802602e+04  3.01757374e+04  2.83e+02 2.63e-07  1.61e-01     0s
  13   3.11508999e+04  3.06402651e+04  1.18e+02 2.37e-07  8.68e-02     0s
  14   3.10537399e+04  3.09198133e+04  4.82e+01 2.49e-07  4.46e-02     0s
  15   3.10261775e+04  3.11157584e+04  2.98e+01 1.71e-07  8.87e-03     0s
  16   3.10225867e+04  3.10524547e+04  2.73e+01 8.32e-08  6.08e-03     0s
  17   3.10009474e+04  3.10146404e+04  9.24e+00 3.16e-08  1.99e-03     0s
  18   3.09937008e+04  3.10309304e+04  3.50e+00 4.80e-08  8.41e-04     0s
  19   3.09891093e+04  3.10041949e+04  1.47e-01 1.75e-08  1.05e-04     0s

  20   3.09885637e+04  3.09961217e+04  1.53e-02 9.07e-09  1.29e-05     0s
  21   3.09885043e+04  3.09892178e+04  8.31e-08 8.91e-10  2.27e-07     0s
  22   3.09885039e+04  3.09885046e+04  1.23e-08 8.37e-13  2.26e-10     0s

Barrier solved model in 22 iterations and 0.30 seconds (0.14 work units)
Optimal objective 3.09885039e+04

Crossover log...

       3 DPushes remaining with DInf 0.0000000e+00                 0s
       0 DPushes remaining with DInf 0.0000000e+00                 0s

     582 PPushes remaining with PInf 0.0000000e+00                 0s
       0 PPushes remaining with PInf 0.0000000e+00                 0s

  Push phase complete: Pinf 0.0000000e+00, Dinf 3.8207285e-16      0s

Crossover time: 0.05 seconds (0.02 work units)

Solved with barrier
Iteration    Objective       Primal Inf.    Dual Inf.      Time
     588    3.0988504e+04   0.000000e+00   0.000000e+00      0s

Solved in 588 iterations and 0.36 seconds (0.17 work units)
Optimal objective  3.098850394e+04
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de

Read LP format model from file /tmp/linopy-problem-9cololcu.lp
Reading time = 0.10 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x51d510b0
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [5e-01, 8e-01]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.07s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.03s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0   5.23804771e+03 -9.61937235e+06  7.39e+08 5.03e-02  9.45e+04     0s
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
   1  -1.32165989e+05 -8.45078634e+06  1.06e+08 9.83e-02  4.60e+04     0s
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
   2  -8.06532936e+04 -3.03852630e+06  5.67e+07 1.12e-03  7.34e+03     0s

   3  -1.12796177e+04 -1.39495890e+06  1.58e+06 2.37e-05  3.51e+02     0s
   4  -1.09557719e+04 -3.54163096e+05  4.54e+05 4.90e-16  6.72e+01     0s
   5  -1.37095298e+04 -1.76145066e+05  2.13e+05 2.39e-16  2.65e+01     0s
Read LP format model from file /tmp/linopy-problem-hmn87u6g.lp
Reading time = 0.10 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x8c47fc0e
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [7e-01, 7e-01]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

   6  -1.78634229e+04 -1.11295593e+05  1.46e+05 1.76e-16  1.46e+01     0s

   7  -2.37863057e+04 -8.84621975e+04  9.00e+04 1.33e-16  9.63e+00     0s
   8  -2.80386231e+04 -7.73437508e+04  6.66e+04 1.12e-16  7.20e+00     0s
   9  -2.68635637e+04 -7.15273893e+04  6.51e+04 9.71e-17  6.56e+00     0s
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.07s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

  10  -3.08315800e+04 -6.20297392e+04  2.75e+04 7.03e-17  4.22e+00     0s
  11  -3.37666194e+04 -5.24101654e+04  1.81e+04 5.77e-17  2.53e+00     0s
Ordering time: 0.02s
  12  -3.47553308e+04 -5.15689894e+04  1.34e+04 5.48e-17  2.24e+00     0s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
  13  -3.48306707e+04 -4.95513200e+04  1.18e+04 5.83e-17  1.96e+00     0s

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
  14  -3.58408599e+04 -4.73171562e+04  8.92e+03 4.74e-17  1.52e+00     0s
   0  -4.80531592e+04 -1.51723394e+07  7.39e+08 7.94e-02  1.49e+05     0s
   1  -7.02808913e+05 -1.37195685e+07  1.10e+08 1.60e-01  7.66e+04     0s
  15  -3.58371354e+04 -4.63732973e+04  6.91e+03 2.79e-10  1.37e+00     0s
   2  -5.79132624e+05 -5.05779909e+06  6.08e+07 2.50e-03  1.27e+04     0s
  16  -3.65781973e+04 -4.08202234e+04  3.61e+03 1.42e-09  5.62e-01     1s
   3  -5.34237998e+04 -2.21525225e+06  1.86e+06 1.17e-04  6.19e+02     0s
   4  -4.58229938e+04 -7.09072960e+05  4.86e+05 7.48e-16  1.30e+02     0s
  17  -3.69708516e+04 -3.83830472e+04  1.97e+03 1.11e-09  1.97e-01     1s

  18  -3.71847959e+04 -3.79339600e+04  1.11e+03 1.65e-08  1.05e-01     1s
   5  -4.58243292e+04 -3.26892345e+05  1.68e+05 3.03e-16  4.31e+01     0s
  19  -3.72474350e+04 -3.77796335e+04  8.69e+02 1.53e-08  7.53e-02     1s
   6  -4.76483987e+04 -1.58522440e+05  9.73e+04 2.28e-16  1.60e+01     0s
   7  -5.02064589e+04 -1.23364860e+05  6.16e+04 1.30e-16  1.01e+01     0s
  20  -3.73898927e+04 -3.76410005e+04  2.89e+02 8.64e-09  3.39e-02     1s
   8  -5.23209310e+04 -1.01751002e+05  4.76e+04 6.46e-17  6.74e+00     0s
  21  -3.74303479e+04 -3.74977415e+04  1.32e+02 6.36e-09  9.71e-03     1s
   9  -5.45502073e+04 -9.31599772e+04  3.40e+04 4.24e-17  5.17e+00     0s

  22  -3.74558051e+04 -3.74705131e+04  4.41e+01 2.58e-09  2.36e-03     1s
  23  -3.74677894e+04 -3.74687642e+04  1.77e+00 4.84e-10  1.47e-04     1s
  10  -5.56612506e+04 -8.90369034e+04  2.88e+04 4.39e-17  4.45e+00     0s

  24  -3.74686194e+04 -3.74686341e+04  2.52e-02 3.28e-11  2.05e-06     1s
  25  -3.74686309e+04 -3.74686308e+04  2.63e-07 6.76e-13  1.84e-10     1s

Barrier solved model in 25 iterations and 0.66 seconds (0.16 work units)
Optimal objective -3.74686309e+04

Crossover log...

  11  -5.88413979e+04 -7.18077242e+04  1.35e+04 2.43e-17  1.75e+00     0s
  12  -6.11293500e+04 -6.77030239e+04  6.86e+03 7.30e-17  8.84e-01     0s
      11 DPushes remaining with DInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    1702 PPushes remaining with PInf 0.0000000e+00                 1s
  13  -6.24373673e+04 -6.65050278e+04  3.00e+03 6.49e-17  5.30e-01     0s

  14  -6.27069789e+04 -6.51658105e+04  2.13e+03 7.08e-17  3.25e-01     0s
  15  -6.31763727e+04 -6.39220408e+04  6.62e+02 2.44e-09  9.93e-02     0s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 1.1449175e-15      1s

Crossover time: 0.13 seconds (0.06 work units)

Solved with barrier
  16  -6.33611967e+04 -6.33982126e+04  3.53e+01 1.13e-08  5.36e-03     1s

Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1716   -3.7468631e+04   0.000000e+00   0.000000e+00      1s

Solved in 1716 iterations and 0.82 seconds (0.22 work units)
Optimal objective -3.746863085e+04
  17  -6.33791702e+04 -6.33811409e+04  2.23e-07 7.49e-10  2.62e-04     1s
  18  -6.33792836e+04 -6.33793240e+04  1.02e-08 1.41e-10  1.80e-06     1s

  19  -6.33792851e+04 -6.33792851e+04  4.52e-08 1.70e-13  1.80e-09     1s

Barrier solved model in 19 iterations and 0.57 seconds (0.13 work units)
Optimal objective -6.33792851e+04

Crossover log...

     461 DPushes remaining with DInf 0.0000000e+00                 1s

       0 DPushes remaining with DInf 0.0000000e+00                 1s

    2193 PPushes remaining with PInf 0.0000000e+00                 1s

       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 1.6184970e-15      1s

Crossover time: 0.32 seconds (0.10 work units)

Solved with barrier

Iteration    Objective       Primal Inf.    Dual Inf.      Time
    2657   -6.3379285e+04   0.000000e+00   0.000000e+00      1s

Solved in 2657 iterations and 0.93 seconds (0.23 work units)
Optimal objective -6.337928506e+04

Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de

Read LP format model from file /tmp/linopy-problem-tuegalzt.lp
Reading time = 0.10 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x15857347
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [4e-01, 9e-01]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.07s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.02s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0   4.97691886e+04 -8.49418387e+06  7.34e+08 0.00e+00  8.29e+04     0s

   1   3.43686086e+05 -7.94402463e+06  1.12e+08 8.05e-02  4.26e+04     0s
   2   3.78070751e+05 -2.41211563e+06  5.55e+07 1.58e-03  5.83e+03     0s
   3   5.30279744e+04 -1.10616654e+06  3.23e+06 1.05e-04  4.48e+02     0s
   4   3.98430437e+04 -3.81404034e+05  4.40e+05 2.71e-16  7.86e+01     0s
   5   3.81946519e+04 -1.45745807e+05  2.19e+05 2.29e-16  2.96e+01     0s

   6   3.65562787e+04 -2.22711325e+04  1.33e+05 8.65e-17  9.35e+00     0s

   7   3.11328094e+04 -2.98781047e+03  4.38e+04 4.15e-17  4.68e+00     0s
   8   2.93604096e+04  9.79956011e+03  2.90e+04 3.24e-17  2.64e+00     0s
   9   2.77830054e+04  1.51973465e+04  1.93e+04 3.68e-17  1.68e+00     0s
  10   2.64408368e+04  1.86931386e+04  1.20e+04 1.76e-17  1.02e+00     0s
  11   2.56197162e+04  2.05515886e+04  7.32e+03 1.65e-17  6.65e-01     0s
  12   2.54056741e+04  2.13454415e+04  5.85e+03 9.10e-09  5.32e-01     0s
  13   2.48998729e+04  2.23845590e+04  3.45e+03 6.79e-08  3.29e-01     0s
  14   2.44783236e+04  2.37916526e+04  1.36e+03 9.80e-08  9.52e-02     0s
  15   2.42707261e+04  2.40160735e+04  4.69e+02 7.30e-08  3.68e-02     0s

  16   2.41863042e+04  2.41265008e+04  1.19e+02 3.33e-08  9.41e-03     0s
  17   2.41682722e+04  2.41528770e+04  4.33e+01 7.37e-09  2.40e-03     0s
  18   2.41636460e+04  2.41560212e+04  2.57e+01 5.59e-09  1.33e-03     0s
  19   2.41567750e+04  2.41573743e+04  1.20e-01 2.00e-09  2.15e-05     0s
  20   2.41566942e+04  2.41568401e+04  8.14e-07 4.32e-10  8.05e-07     0s
  21   2.41566900e+04  2.41567726e+04  7.01e-08 2.44e-10  1.94e-08     0s
  22   2.41566900e+04  2.41566900e+04  1.21e-08 8.29e-14  5.96e-12     0s

Barrier solved model in 22 iterations and 0.46 seconds (0.15 work units)
Optimal objective 2.41566900e+04

Crossover log...

      21 DPushes remaining with DInf 0.0000000e+00                 0s
       0 DPushes remaining with DInf 0.0000000e+00                 0s

    1058 PPushes remaining with PInf 0.0000000e+00                 0s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 6.5225603e-16      1s

Crossover time: 0.06 seconds (0.04 work units)

Solved with barrier

Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1082    2.4156690e+04   0.000000e+00   0.000000e+00      1s

Solved in 1082 iterations and 0.55 seconds (0.19 work units)
Optimal objective  2.415669002e+04

Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Read LP format model from file /tmp/linopy-problem-wzvjdfqi.lp
Reading time = 0.04 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x9c4ea3aa
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [6e-01, 8e-01]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.03s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.01s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -4.56302429e+04 -1.30679348e+07  7.39e+08 6.84e-02  1.28e+05     0s
   1  -6.74484043e+05 -1.17442097e+07  1.09e+08 1.37e-01  6.55e+04     0s
   2  -5.19310499e+05 -4.45539453e+06  6.02e+07 2.01e-03  1.11e+04     0s
   3  -4.87963527e+04 -1.87840169e+06  1.66e+06 8.52e-05  5.01e+02     0s
   4  -4.35599577e+04 -6.39766880e+05  4.56e+05 8.73e-16  1.14e+02     0s

   5  -4.36196115e+04 -3.05800813e+05  1.74e+05 3.24e-16  4.02e+01     0s
   6  -4.50646072e+04 -1.35553103e+05  9.25e+04 1.46e-16  1.29e+01     0s
   7  -4.74675951e+04 -1.07470441e+05  5.51e+04 1.02e-16  8.16e+00     0s
   8  -5.02402846e+04 -9.24464754e+04  4.15e+04 6.13e-17  5.65e+00     0s
   9  -5.03062775e+04 -8.72881628e+04  3.90e+04 5.32e-17  4.95e+00     0s
  10  -5.40913215e+04 -7.21715427e+04  1.78e+04 4.72e-17  2.37e+00     0s
  11  -5.70570733e+04 -6.31444706e+04  5.59e+03 5.19e-17  7.93e-01     0s
  12  -5.78630380e+04 -6.03396622e+04  2.55e+03 3.21e-17  3.25e-01     0s
  13  -5.82799654e+04 -5.98762392e+04  8.40e+02 2.78e-17  2.01e-01     0s

  14  -5.83476152e+04 -5.87989691e+04  5.89e+02 4.42e-17  6.06e-02     0s
  15  -5.85019531e+04 -5.85503090e+04  6.16e+01 2.07e-09  6.56e-03     0s
  16  -5.85208878e+04 -5.85219284e+04  1.79e-01 8.48e-10  1.45e-04     0s
  17  -5.85211638e+04 -5.85211667e+04  5.36e-08 1.92e-11  1.48e-07     0s

  18  -5.85211641e+04 -5.85211641e+04  2.10e-09 2.88e-14  1.15e-12     0s

Barrier solved model in 18 iterations and 0.48 seconds (0.12 work units)
Optimal objective -5.85211641e+04

Crossover log...

     695 DPushes remaining with DInf 0.0000000e+00                 1s

       0 DPushes remaining with DInf 0.0000000e+00                 1s

    2209 PPushes remaining with PInf 0.0000000e+00                 1s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 1.2758891e-15      1s

Crossover time: 0.61 seconds (0.20 work units)

Solved with barrier
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    2907   -5.8521164e+04   0.000000e+00   0.000000e+00      1s

Solved in 2907 iterations and 1.13 seconds (0.33 work units)
Optimal objective -5.852116407e+04

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)
/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Read LP format model from file /tmp/linopy-problem-7qn4rs2j.lp
Reading time = 0.05 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x48115629
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [2e-01, 1e+00]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.03s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.01s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0   3.20948078e+04 -4.24709194e+06  7.33e+08 0.00e+00  8.27e+04     0s
   1   2.06178934e+05 -3.94574913e+06  1.13e+08 7.41e-02  4.20e+04     0s
   2   2.64117909e+05 -1.18303117e+06  5.40e+07 1.38e-03  5.54e+03     0s
   3   4.02458036e+04 -5.20691466e+05  2.60e+06 8.13e-05  3.77e+02     0s

   4   3.22454860e+04 -1.56113079e+05  3.64e+05 3.45e-06  6.64e+01     0s
   5   3.14295341e+04 -4.55956795e+04  1.21e+05 7.29e-07  2.23e+01     0s
   6   3.00037961e+04  3.20159150e+03  6.03e+04 2.82e-07  7.43e+00     0s
   7   2.81307798e+04  8.31461902e+03  2.39e+04 4.76e-07  5.14e+00     0s
   8   2.71709388e+04  1.62821514e+04  1.53e+04 6.33e-07  2.83e+00     0s
   9   2.65079613e+04  1.83680613e+04  1.06e+04 7.22e-07  2.13e+00     0s
  10   2.61048745e+04  1.92653988e+04  6.90e+03 7.01e-07  1.79e+00     0s
  11   2.55022582e+04  2.20417000e+04  3.93e+03 6.86e-07  9.50e-01     0s
  12   2.51093800e+04  2.27469794e+04  1.94e+03 6.12e-07  6.67e-01     0s
  13   2.49284838e+04  2.38169335e+04  1.19e+03 4.39e-07  3.39e-01     0s
  14   2.48203082e+04  2.41073998e+04  7.18e+02 3.40e-07  2.26e-01     0s
  15   2.47023526e+04  2.44544191e+04  1.65e+02 2.05e-07  9.19e-02     0s

  16   2.46848468e+04  2.45262908e+04  1.20e+02 1.78e-07  6.61e-02     0s
  17   2.46714091e+04  2.45763616e+04  8.64e+01 1.47e-07  4.59e-02     0s
  18   2.46537328e+04  2.46296166e+04  3.92e+01 6.08e-08  1.55e-02     0s
  19   2.46411948e+04  2.46341131e+04  8.79e+00 5.13e-08  9.72e-03     0s
  20   2.46376395e+04  2.46384326e+04  4.96e-01 3.73e-09  4.00e-04     0s
  21   2.46373993e+04  2.46376010e+04  1.07e-07 4.12e-10  5.10e-06     0s
  22   2.46373950e+04  2.46373859e+04  2.96e-08 1.79e-11  1.16e-08     0s
  23   2.46373949e+04  2.46373949e+04  1.32e-07 7.10e-14  1.16e-11     0s

Barrier solved model in 23 iterations and 0.47 seconds (0.15 work units)
Optimal objective 2.46373949e+04

Crossover log...

       2 DPushes remaining with DInf 0.0000000e+00                 0s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

     842 PPushes remaining with PInf 0.0000000e+00                 1s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 7.6848250e-16      1s

Crossover time: 0.08 seconds (0.03 work units)

Solved with barrier
Iteration    Objective       Primal Inf.    Dual Inf.      Time
     847    2.4637395e+04   0.000000e+00   0.000000e+00      1s

Solved in 847 iterations and 0.57 seconds (0.18 work units)
Optimal objective  2.463739495e+04

Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Read LP format model from file /tmp/linopy-problem-sj0ebqtt.lp
Reading time = 0.05 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0xd5aebad9
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [5e-01, 8e-01]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.03s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.01s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0   2.56258960e+04 -8.49418387e+06  7.39e+08 3.40e-02  8.34e+04     0s
   1   9.83403749e+04 -7.76490733e+06  1.08e+08 9.03e-02  4.30e+04     0s
   2   9.18464618e+04 -2.52259738e+06  5.96e+07 1.27e-03  6.50e+03     0s
   3   8.88799173e+03 -1.20511116e+06  2.68e+06 5.48e-05  4.13e+02     0s

   4   5.48249249e+03 -3.47926670e+05  4.55e+05 4.11e-15  6.84e+01     0s
   5   2.49062807e+03 -1.92973935e+05  1.97e+05 1.44e-15  3.08e+01     0s
   6  -2.12986990e+02 -8.25721258e+04  1.41e+05 2.50e-16  1.32e+01     0s
   7  -5.46114774e+03 -6.46353289e+04  8.11e+04 4.44e-16  8.80e+00     0s
   8  -1.02395379e+04 -5.46985848e+04  5.66e+04 2.60e-16  6.42e+00     0s
   9  -1.11162294e+04 -5.30674082e+04  5.19e+04 2.22e-16  6.02e+00     0s
  10  -1.34763579e+04 -4.55946540e+04  3.03e+04 1.71e-16  4.39e+00     0s
  11  -1.57727236e+04 -3.50023165e+04  1.93e+04 1.25e-15  2.62e+00     0s
  12  -1.61751664e+04 -3.47422643e+04  1.75e+04 1.12e-15  2.51e+00     0s
  13  -1.70887330e+04 -3.39364090e+04  1.50e+04 1.10e-15  2.26e+00     0s
  14  -1.71369044e+04 -3.34988592e+04  1.32e+04 1.02e-15  2.17e+00     0s
  15  -1.71251593e+04 -3.29928555e+04  1.06e+04 1.05e-15  2.07e+00     0s
  16  -1.79708341e+04 -2.88294511e+04  7.75e+03 2.11e-16  1.42e+00     0s
  17  -1.86953612e+04 -2.44763732e+04  5.32e+03 8.53e-10  7.68e-01     0s
  18  -1.92464509e+04 -2.29711351e+04  3.24e+03 5.49e-10  4.91e-01     0s
  19  -1.96973697e+04 -2.07098454e+04  1.22e+03 3.42e-09  1.37e-01     0s
  20  -2.00256700e+04 -2.02283541e+04  1.78e+02 1.23e-08  2.64e-02     0s
  21  -2.00522511e+04 -2.01361674e+04  1.24e+02 1.30e-08  1.13e-02     0s
  22  -2.00853194e+04 -2.01142974e+04  4.80e+01 8.79e-09  3.88e-03     0s
  23  -2.01027844e+04 -2.01098263e+04  9.18e+00 4.18e-09  8.69e-04     0s
  24  -2.01049336e+04 -2.01090475e+04  4.53e+00 3.10e-09  4.84e-04     0s
  25  -2.01069802e+04 -2.01073045e+04  4.21e-01 5.22e-10  3.37e-05     0s
  26  -2.01071923e+04 -2.01071996e+04  1.34e-07 4.32e-11  6.68e-08     0s
  27  -2.01071925e+04 -2.01071925e+04  9.42e-10 4.72e-14  6.68e-11     0s

Barrier solved model in 27 iterations and 0.34 seconds (0.17 work units)
Optimal objective -2.01071925e+04

Crossover log...

      12 DPushes remaining with DInf 0.0000000e+00                 0s
       0 DPushes remaining with DInf 0.0000000e+00                 0s

    1537 PPushes remaining with PInf 0.0000000e+00                 0s
       0 PPushes remaining with PInf 0.0000000e+00                 0s

  Push phase complete: Pinf 0.0000000e+00, Dinf 1.3608906e-15      0s

Crossover time: 0.07 seconds (0.06 work units)

Solved with barrier
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1552   -2.0107193e+04   0.000000e+00   0.000000e+00      0s

Solved in 1552 iterations and 0.42 seconds (0.23 work units)
Optimal objective -2.010719254e+04
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Read LP format model from file /tmp/linopy-problem-fu5mkbtb.lp
Reading time = 0.04 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x7e2845db
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [2e-01, 1e+00]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.03s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.00s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -4.10167623e+04 -2.06835161e+07  7.39e+08 2.17e-01  4.06e+05     0s
   1  -6.96598376e+05 -1.92647056e+07  1.12e+08 4.29e-01  2.11e+05     0s
   2  -5.89745148e+05 -6.83335377e+06  6.27e+07 7.92e-03  3.51e+04     0s
   3  -4.93672932e+04 -2.99321551e+06  2.41e+06 3.86e-04  1.96e+03     0s
   4  -3.72371182e+04 -9.91996719e+05  4.60e+05 4.38e-06  3.68e+02     0s
   5  -3.76698628e+04 -4.46406630e+05  1.53e+05 8.74e-16  1.23e+02     0s
   6  -4.02749724e+04 -1.85196240e+05  9.36e+04 5.77e-16  4.31e+01     0s
   7  -4.49312805e+04 -1.38116164e+05  6.43e+04 4.15e-16  2.65e+01     0s
   8  -5.06887792e+04 -1.17028033e+05  2.96e+04 2.77e-16  1.76e+01     0s
   9  -5.41923041e+04 -1.02655181e+05  2.12e+04 2.82e-16  1.28e+01     0s
  10  -5.70593394e+04 -9.45008603e+04  1.80e+04 2.41e-16  9.90e+00     0s
  11  -6.04078330e+04 -8.91054559e+04  1.28e+04 2.34e-16  7.52e+00     0s
  12  -6.22359739e+04 -8.22173068e+04  9.17e+03 2.22e-16  5.24e+00     0s
  13  -6.46235205e+04 -7.73660306e+04  4.19e+03 1.54e-16  3.26e+00     0s
  14  -6.57212230e+04 -7.03680713e+04  2.23e+03 2.12e-16  1.22e+00     0s
  15  -6.65941622e+04 -6.95537885e+04  7.96e+02 1.03e-16  7.51e-01     0s

  16  -6.66450231e+04 -6.79013494e+04  6.98e+02 3.90e-09  3.33e-01     0s
  17  -6.69565446e+04 -6.72021508e+04  1.40e+02 8.77e-09  6.46e-02     0s
  18  -6.70394759e+04 -6.70554623e+04  1.61e-01 3.82e-09  3.62e-03     0s
  19  -6.70404423e+04 -6.70409179e+04  1.23e-05 1.86e-10  1.03e-04     0s
  20  -6.70405303e+04 -6.70405366e+04  1.28e-07 1.07e-10  8.92e-07     0s
  21  -6.70405311e+04 -6.70405312e+04  6.43e-08 3.92e-14  8.92e-10     0s

Barrier solved model in 21 iterations and 0.30 seconds (0.14 work units)
Optimal objective -6.70405311e+04

Crossover log...

       4 DPushes remaining with DInf 0.0000000e+00                 0s
       0 DPushes remaining with DInf 0.0000000e+00                 0s

    2041 PPushes remaining with PInf 0.0000000e+00                 0s
       0 PPushes remaining with PInf 0.0000000e+00                 0s

  Push phase complete: Pinf 0.0000000e+00, Dinf 2.3765712e-15      0s

Crossover time: 0.06 seconds (0.06 work units)

Solved with barrier
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    2048   -6.7040531e+04   0.000000e+00   0.000000e+00      0s

Solved in 2048 iterations and 0.36 seconds (0.20 work units)
Optimal objective -6.704053115e+04

Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Read LP format model from file /tmp/linopy-problem-9q8664o2.lp
Reading time = 0.04 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0xbac5e245
Model has 2 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [8e-02, 1e+00]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.03s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.01s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -2.58070542e+04 -1.11731914e+07  7.39e+08 2.34e-01  4.39e+05     0s
   1  -3.99731476e+05 -9.73151123e+06  1.06e+08 4.54e-01  2.12e+05     0s
   2  -2.65108567e+05 -3.67066304e+06  5.64e+07 5.14e-03  3.48e+04     0s
   3  -3.09576973e+04 -1.67595473e+06  1.34e+06 7.58e-05  1.54e+03     0s
   4  -2.99390325e+04 -4.32482520e+05  4.25e+05 1.95e-15  3.07e+02     0s
   5  -3.14319005e+04 -2.16767522e+05  1.72e+05 1.42e-15  1.13e+02     0s

   6  -3.31233606e+04 -1.34854834e+05  9.83e+04 7.03e-16  5.77e+01     0s
   7  -3.52578027e+04 -1.07608003e+05  6.22e+04 5.81e-16  3.93e+01     0s
   8  -3.84181038e+04 -1.01063809e+05  4.77e+04 3.86e-16  3.34e+01     0s
   9  -4.18331246e+04 -9.09266083e+04  3.54e+04 2.70e-16  2.58e+01     0s
  10  -4.24412624e+04 -8.24285965e+04  3.32e+04 2.12e-16  2.11e+01     0s
  11  -4.56600068e+04 -7.70132034e+04  1.65e+04 2.49e-16  1.60e+01     0s
  12  -4.80703189e+04 -6.89072554e+04  1.00e+04 2.38e-16  1.06e+01     0s
  13  -4.74716770e+04 -6.52639160e+04  9.13e+03 2.49e-16  9.02e+00     0s
  14  -5.00432042e+04 -5.71989348e+04  3.58e+03 1.51e-16  3.62e+00     0s
  15  -5.00784522e+04 -5.68924968e+04  3.50e+03 2.30e-16  3.45e+00     0s
  16  -5.03415047e+04 -5.67629207e+04  3.02e+03 2.68e-16  3.24e+00     0s
  17  -5.05253989e+04 -5.62776364e+04  2.61e+03 2.50e-16  2.89e+00     0s
  18  -5.05933822e+04 -5.54512961e+04  2.45e+03 2.03e-16  2.45e+00     0s
  19  -5.10264858e+04 -5.35941505e+04  1.34e+03 1.57e-16  1.30e+00     0s
  20  -5.12144730e+04 -5.25216926e+04  8.78e+02 1.08e-16  6.66e-01     0s
  21  -5.14533280e+04 -5.17205484e+04  2.60e+02 2.34e-09  1.39e-01     0s
  22  -5.14874616e+04 -5.16343747e+04  1.86e+02 4.01e-09  7.81e-02     0s
  23  -5.15465663e+04 -5.15874674e+04  5.69e+01 2.46e-09  2.19e-02     0s

  24  -5.15604301e+04 -5.15785387e+04  2.70e+01 1.04e-09  9.78e-03     0s
  25  -5.15633032e+04 -5.15782576e+04  2.11e+01 9.87e-10  8.03e-03     0s
  26  -5.15725170e+04 -5.15733984e+04  1.52e+00 2.28e-10  4.84e-04     0s
  27  -5.15732571e+04 -5.15732584e+04  2.05e-07 1.98e-11  5.49e-07     0s

  28  -5.15732579e+04 -5.15732579e+04  2.10e-09 2.47e-14  5.49e-10     0s

Barrier solved model in 28 iterations and 0.41 seconds (0.17 work units)
Optimal objective -5.15732579e+04

Crossover log...

       5 DPushes remaining with DInf 0.0000000e+00                 0s
       0 DPushes remaining with DInf 0.0000000e+00                 0s

    1995 PPushes remaining with PInf 0.0000000e+00                 0s
       0 PPushes remaining with PInf 0.0000000e+00                 0s

  Push phase complete: Pinf 0.0000000e+00, Dinf 8.3440199e-15      0s

Crossover time: 0.07 seconds (0.06 work units)

Solved with barrier
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    2003   -5.1573258e+04   0.000000e+00   0.000000e+00      0s

Solved in 2003 iterations and 0.49 seconds (0.24 work units)
Optimal objective -5.157325794e+04

While more difficult to visualize, more than two dimensions can be used to analyse near-optimal spaces. Suppose we are interested in the mutual trade-offs between wind, solar and energy storage. Storage, as a sum of battery and hydrogen storage, is easily defined as a third dimension. In this case, since we are comparing different kinds of components with heterogenous units, it makes sense to scale our dimensions by capital cost in order to get comparable investment numbers.

In [10]:

dimensions = {
    "wind": {"Generator": {"p_nom": {"wind": n.generators.at["wind", "capital_cost"]}}},
    "solar": {
        "Generator": {"p_nom": {"solar": n.generators.at["solar", "capital_cost"]}}
    },
    "storage": {
        "StorageUnit": {
            "p_nom": {
                "battery storage": n.storage_units.at["battery storage", "capital_cost"]
            }
        },
        "Store": {
            "e_nom": {
                "hydrogen storage": n.stores.at["hydrogen storage", "capital_cost"]
            }
        },
        "Link": {"p_nom": n.links.capital_cost},
    },
}
directions = pypsa.optimization.mga.generate_directions_halton(
    dimensions.keys(), 50, seed=0
)
dirs, pts = n.optimize.optimize_mga_in_multiple_directions(
    dimensions=dimensions,
    directions=directions,
    slack=0.05,
    solver_name="gurobi",
    max_parallel=8,
)

dimensions = { "wind": {"Generator": {"p_nom": {"wind": n.generators.at["wind", "capital_cost"]}}}, "solar": { "Generator": {"p_nom": {"solar": n.generators.at["solar", "capital_cost"]}} }, "storage": { "StorageUnit": { "p_nom": { "battery storage": n.storage_units.at["battery storage", "capital_cost"] } }, "Store": { "e_nom": { "hydrogen storage": n.stores.at["hydrogen storage", "capital_cost"] } }, "Link": {"p_nom": n.links.capital_cost}, }, } directions = pypsa.optimization.mga.generate_directions_halton( dimensions.keys(), 50, seed=0 ) dirs, pts = n.optimize.optimize_mga_in_multiple_directions( dimensions=dimensions, directions=directions, slack=0.05, solver_name="gurobi", max_parallel=8, )

INFO:pypsa.network.io:Exported network 'Model-Energy' saved to '/tmp/tmp8zghl3s1.nc contains: buses, stores, loads, generators, links, carriers, sub_networks, storage_units

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)
/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)
/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)
/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)
/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(
/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(
/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(
/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(
/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Read LP format model from file /tmp/linopy-problem-msvf3bqx.lp
Reading time = 0.11 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0xf2cb301c
Model has 6 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [9e+01, 1e+05]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Read LP format model from file /tmp/linopy-problem-y0vayzgj.lp
Reading time = 0.10 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x311d180d
Model has 6 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [9e+01, 1e+05]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.07s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.02s
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.07s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...


Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
Ordering time: 0.02s

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -7.31880475e+09 -7.65113109e+11  7.39e+08 2.01e+03  3.75e+09     0s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
   1  -1.67709934e+11 -7.31286239e+11  1.37e+08 4.10e+03  2.15e+09     0s

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -2.45258929e+09 -5.75752496e+11  7.39e+08 1.51e+03  2.82e+09     0s
   2  -1.53742264e+11 -2.64269434e+11  7.04e+07 9.82e+01  3.52e+08     0s
   1  -1.09707402e+11 -5.46821733e+11  1.46e+08 3.03e+03  1.60e+09     0s
   3  -1.21732323e+10 -1.15454602e+11  3.75e+06 5.96e+00  2.40e+07     0s
   2  -1.02677105e+11 -1.70384513e+11  7.02e+07 7.46e+01  2.27e+08     0s
   4  -5.29792051e+09 -4.02204390e+10  5.31e+05 7.42e-02  3.68e+06     0s
   3  -9.99833331e+09 -7.98185157e+10  5.98e+06 7.59e+00  2.27e+07     0s
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de

   5  -4.57493918e+09 -2.27515336e+10  1.80e+05 7.14e-03  1.43e+06     0s
   4  -1.43330964e+09 -3.28583815e+10  5.12e+05 3.17e-01  3.12e+06     0s
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
   6  -4.46494029e+09 -9.16494177e+09  1.04e+05 8.28e-12  3.71e+05     0s
   5  -9.35167613e+08 -1.31453365e+10  2.14e+05 3.96e-02  1.01e+06     0s
   7  -4.45945523e+09 -6.95281056e+09  3.52e+03 3.37e-12  1.52e+05     0s
   6  -8.33438217e+08 -3.92390373e+09  1.19e+05 5.07e-12  2.57e+05     0s
   8  -4.51930734e+09 -6.35349263e+09  2.51e+03 3.24e-12  1.12e+05     0s
   7  -1.07779243e+09 -2.26513409e+09  3.24e+04 2.30e-12  8.55e+04     0s
   8  -1.27655902e+09 -1.84374745e+09  1.22e+04 1.26e-12  3.87e+04     0s
   9  -4.64854001e+09 -5.73369221e+09  1.00e+03 2.68e-12  6.59e+04     0s
Read LP format model from file /tmp/linopy-problem-semaus40.lp
Reading time = 0.12 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0xe9fd7706
Model has 6 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [1e+02, 1e+05]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

   9  -1.33973448e+09 -1.66443293e+09  5.50e+03 1.46e-12  2.15e+04     0s
  10  -4.69753214e+09 -5.41735796e+09  7.07e+02 2.06e-12  4.37e+04     0s
Read LP format model from file /tmp/linopy-problem-9ptt93vh.lp
Reading time = 0.12 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
  10  -1.38691264e+09 -1.46724668e+09  1.54e+03 1.29e-12  5.32e+03     0s
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x59ffade0
Model has 6 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [2e-01, 7e+04]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

  11  -4.74770343e+09 -5.25948088e+09  5.37e+02 1.40e-12  3.11e+04     0s
  11  -1.40526214e+09 -1.41993097e+09  2.93e+02 1.51e-12  9.72e+02     0s
  12  -4.78486134e+09 -5.21998867e+09  4.19e+02 1.46e-12  2.64e+04     1s
  12  -1.40994419e+09 -1.41226488e+09  4.38e+01 1.34e-12  1.53e+02     0s
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.08s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

  13  -4.81500274e+09 -5.16937448e+09  3.13e+02 1.10e-12  2.15e+04     1s
  13  -1.41071354e+09 -1.41141188e+09  8.78e+00 5.99e-13  4.47e+01     0s
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.07s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.02s
  14  -1.41089002e+09 -1.41119600e+09  1.70e+00 1.10e-12  1.90e+01     1s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
  14  -4.81695726e+09 -5.15881077e+09  2.65e+02 1.25e-12  2.07e+04     1s
Ordering time: 0.01s
  15  -1.41093724e+09 -1.41093805e+09  7.57e-03 1.46e-11  5.12e-02     1s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
  15  -4.84943646e+09 -5.07108701e+09  1.76e+02 1.27e-12  1.34e+04     1s

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0   3.60208621e+09 -7.91807881e+11  7.39e+08 2.07e+03  3.89e+09     0s

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -4.94776732e+07 -8.32589054e+11  7.39e+08 2.18e+03  4.09e+09     0s
  16  -1.41093760e+09 -1.41093760e+09  4.19e-05 3.30e-12  5.29e-05     1s
  16  -4.86023160e+09 -5.03784654e+09  1.41e+02 1.16e-12  1.08e+04     1s
   1  -1.52291908e+10 -7.31333242e+11  1.06e+08 4.26e+03  1.99e+09     0s
   1   8.24753368e+10 -7.22815725e+11  1.01e+08 4.06e+03  1.92e+09     0s
   2  -9.81742341e+09 -2.63508906e+11  5.68e+07 4.74e+01  3.18e+08     0s
  17  -1.41093760e+09 -1.41093760e+09  4.66e-07 1.14e-11  3.74e-08     1s
  17  -4.87509226e+09 -4.97744373e+09  9.37e+01 1.08e-12  6.21e+03     1s
   2   8.22389727e+10 -2.61323805e+11  5.64e+07 6.01e+01  3.18e+08     0s
   3  -1.25840891e+09 -1.21073615e+11  1.55e+06 9.58e-01  1.50e+07     0s
  18  -4.89022666e+09 -4.96256180e+09  4.94e+01 1.16e-12  4.39e+03     1s
  18  -1.41093760e+09 -1.41093760e+09  9.78e-09 1.73e-10  3.74e-11     1s

Barrier solved model in 18 iterations and 0.67 seconds (0.12 work units)
Optimal objective -1.41093760e+09

   4  -1.19216032e+09 -3.24604438e+10  4.49e+05 2.40e-11  3.02e+06     0s
   3   3.73797450e+09 -1.16310683e+11  1.72e+06 2.37e+00  1.59e+07     0s
Crossover log...

   5  -1.43034581e+09 -1.41912834e+10  1.66e+05 6.48e-12  9.85e+05     0s
  19  -4.89437769e+09 -4.93811963e+09  3.72e+01 9.62e-13  2.65e+03     1s
   6  -1.70801303e+09 -8.89091562e+09  1.18e+05 3.52e-12  5.43e+05     0s
   4   1.59979770e+09 -3.54836460e+10  4.61e+05 1.00e-11  3.49e+06     0s
   7  -2.15466007e+09 -7.76557146e+09  7.96e+04 3.22e-12  4.06e+05     0s
  20  -4.89612107e+09 -4.93236693e+09  3.13e+01 7.58e-13  2.20e+03     1s
   8  -2.47913356e+09 -6.44577270e+09  5.94e+04 2.12e-12  2.84e+05     0s
      13 DPushes remaining with DInf 0.0000000e+00                 1s
   9  -2.65871362e+09 -6.03195132e+09  4.44e+04 2.77e-12  2.35e+05     0s
   5   8.54805149e+08 -1.37050642e+10  1.55e+05 1.16e-11  1.08e+06     0s
       0 DPushes remaining with DInf 0.0000000e+00                 1s
  21  -4.90083315e+09 -4.92708786e+09  1.78e+01 5.26e-13  1.59e+03     1s
  10  -2.97990782e+09 -5.01335237e+09  2.65e+04 1.61e-12  1.40e+05     0s
Warning: Markowitz tolerance tightened to 0.25

     757 PPushes remaining with PInf 0.0000000e+00                 1s
   6   3.58698544e+08 -6.86074207e+09  8.66e+04 4.83e-12  5.08e+05     0s
  11  -3.10644744e+09 -4.24928607e+09  1.94e+04 1.03e-12  8.08e+04     0s
  12  -3.10159564e+09 -4.15660083e+09  1.81e+04 1.36e-12  7.44e+04     0s
  22  -4.90383234e+09 -4.91600082e+09  9.46e+00 1.24e-12  7.38e+02     1s
  13  -3.16368857e+09 -4.08395572e+09  1.34e+04 1.48e-12  6.33e+04     0s
   7   2.48505733e+08 -5.60915742e+09  6.05e+04 4.17e-12  3.99e+05     0s
  14  -3.16869239e+09 -3.93166838e+09  1.26e+04 1.45e-12  5.32e+04     0s
  23  -4.90537218e+09 -4.91226418e+09  5.05e+00 1.13e-12  4.18e+02     1s
  15  -3.29122632e+09 -3.60607532e+09  4.12e+03 1.74e-12  2.13e+04     0s
   8   8.87904671e+07 -4.12065851e+09  4.62e+04 2.80e-12  2.83e+05     0s
  16  -3.33061101e+09 -3.43482649e+09  1.59e+03 1.89e-12  7.15e+03     0s

  17  -3.34477086e+09 -3.39631703e+09  7.96e+02 1.81e-12  3.54e+03     0s
  24  -4.90629432e+09 -4.90868163e+09  2.49e+00 1.63e-12  1.45e+02     1s
  18  -3.35103680e+09 -3.37298299e+09  4.77e+02 1.90e-12  1.57e+03     0s
   9  -3.33282469e+07 -3.14204976e+09  3.98e+04 3.66e-12  2.10e+05     1s
  25  -4.90639204e+09 -4.90809783e+09  2.22e+00 1.02e-12  1.04e+02     1s
  19  -3.35758546e+09 -3.36465944e+09  1.20e+02 1.84e-12  4.87e+02     1s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 3.1207037e-11      1s

Crossover time: 0.28 seconds (0.03 work units)
  10  -3.12592201e+08 -2.22170096e+09  2.16e+04 1.64e-12  1.27e+05     1s

Solved with barrier
  20  -3.35956967e+09 -3.36102533e+09  3.23e+01 2.45e-12  1.03e+02     1s
  21  -3.36032240e+09 -3.36042689e+09  3.17e+00 7.28e-12  7.84e+00     1s
Set parameter WLSAccessID
  26  -4.90716518e+09 -4.90771015e+09  1.05e-01 9.27e-13  3.30e+01     1s
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
  22  -3.36040034e+09 -3.36041425e+09  3.16e-01 9.12e-12  9.93e-01     1s
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
  11  -4.29642705e+08 -1.27862738e+09  1.70e+04 2.67e-12  6.01e+04     1s
Iteration    Objective       Primal Inf.    Dual Inf.      Time
     773   -1.4109376e+09   0.000000e+00   0.000000e+00      1s

Solved in 773 iterations and 1.01 seconds (0.15 work units)
Optimal objective -1.410937604e+09
  23  -3.36041010e+09 -3.36041013e+09  4.00e-06 1.46e-11  1.55e-03     1s
  27  -4.90721073e+09 -4.90723237e+09  1.74e-02 5.87e-11  1.31e+00     1s
  24  -3.36041011e+09 -3.36041011e+09  1.65e-07 4.07e-11  8.24e-09     1s

Barrier solved model in 24 iterations and 0.60 seconds (0.15 work units)
Optimal objective -3.36041011e+09

  12  -5.95258810e+08 -1.11322127e+09  9.73e+03 1.42e-12  3.63e+04     1s
Crossover log...

  28  -4.90722048e+09 -4.90722056e+09  8.66e-06 2.91e-10  4.60e-03     1s
       8 DPushes remaining with DInf 0.0000000e+00                 1s
  13  -7.18188953e+08 -9.92876901e+08  4.14e+03 1.78e-12  1.87e+04     1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s
Read LP format model from file /tmp/linopy-problem-k5axcp51.lp
Reading time = 0.10 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Model fingerprint: 0xa6cb181c
Model has 6 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [5e+01, 9e+04]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.


    1757 PPushes remaining with PInf 0.0000000e+00                 1s
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
  29  -4.90722050e+09 -4.90722050e+09  1.15e-08 1.26e-11  2.56e-08     1s
  14  -7.44062909e+08 -8.62956439e+08  2.89e+03 2.68e-12  8.64e+03     1s

Read LP format model from file /tmp/linopy-problem-fianlaxg.lp
Reading time = 0.12 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0xcf849b3f
Model has 6 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [1e+02, 2e+05]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

  30  -4.90722050e+09 -4.90722050e+09  1.40e-09 1.88e-09  2.56e-11     1s

Barrier solved model in 30 iterations and 1.18 seconds (0.18 work units)
Optimal objective -4.90722050e+09

  15  -7.88758174e+08 -8.42586008e+08  6.83e+02 2.46e-12  3.59e+03     1s
Crossover log...

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.07s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

  16  -8.01752352e+08 -8.08869592e+08  8.13e+01 3.62e-12  4.70e+02     1s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 4.9567461e-11      1s

Read LP format model from file /tmp/linopy-problem-e0a1fqb9.lp
Reading time = 0.09 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0xc8143bcb
Model has 6 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [3e+01, 5e+04]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Crossover time: 0.15 seconds (0.06 work units)
       3 DPushes remaining with DInf 0.0000000e+00                 1s
  17  -8.03749247e+08 -8.04755817e+08  4.74e+00 1.71e-12  6.30e+01     1s
Ordering time: 0.02s

Solved with barrier

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    1464 PPushes remaining with PInf 0.0000000e+00                 1s
  18  -8.03875367e+08 -8.04111913e+08  5.84e-01 1.84e-12  1.45e+01     1s
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.10s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

  19  -8.03904151e+08 -8.03904436e+08  1.40e-06 3.08e-10  1.71e-02     1s
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1768   -3.3604101e+09   0.000000e+00   0.000000e+00      1s

Solved in 1768 iterations and 0.80 seconds (0.21 work units)
Optimal objective -3.360410114e+09

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0   5.46392929e+09 -3.36053005e+09  7.56e+08 0.00e+00  1.72e+07     0s
  20  -8.03904191e+08 -8.03904191e+08  7.60e-08 1.46e-11  1.75e-05     1s
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.07s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

  21  -8.03904191e+08 -8.03904191e+08  1.96e-09 8.55e-11  1.75e-08     1s
Ordering time: 0.03s
   1   4.42201020e+09 -2.81172345e+09  1.18e+07 1.16e-02  1.84e+06     0s

  22  -8.03904191e+08 -8.03904191e+08  2.75e-09 5.54e-11  1.75e-11     1s

Barrier solved model in 22 iterations and 0.88 seconds (0.14 work units)
Optimal objective -8.03904191e+08

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
Ordering time: 0.02s
Crossover log...

   2   2.73564203e+09  1.40608614e+08  5.99e+06 7.13e-02  2.90e+05     0s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
     376 DPushes remaining with DInf 0.0000000e+00                 1s

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0   6.65797534e+09 -3.44286610e+11  7.39e+08 4.73e+02  1.70e+09     0s

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -1.24072175e+09 -9.04639276e+11  7.39e+08 2.37e+03  4.44e+09     0s
   3   1.67139937e+09  9.33599161e+08  2.96e+06 3.24e-02  1.43e+05     0s
   1  -4.39101628e+09 -8.12247705e+11  1.04e+08 4.72e+03  2.23e+09     0s
   1   1.48151570e+11 -3.11864422e+11  9.62e+07 1.78e+03  8.27e+08     0s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 2.3540281e-11      1s

   2   4.05252050e+09 -3.11323964e+11  5.78e+07 6.56e+01  3.79e+08     0s
   4   1.70985052e+09  1.55436113e+09  2.04e+06 1.45e-02  1.04e+05     0s
Crossover time: 0.25 seconds (0.06 work units)
   2   1.34264160e+11 -1.10291226e+11  5.28e+07 2.25e+01  1.35e+08     0s

Solved with barrier
   3  -1.36450532e+09 -1.33972093e+11  1.52e+06 2.31e+00  1.71e+07     0s
   5   1.78364697e+09  1.86672143e+09  1.57e+06 1.11e-02  8.21e+04     0s
   3   5.85728168e+09 -5.00790932e+10  1.30e+06 4.42e-01  6.15e+06     0s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    2129 PPushes remaining with PInf 0.0000000e+00                 1s
   4  -1.80117423e+09 -4.21881638e+10  4.66e+05 2.22e-11  3.89e+06     0s
   6   1.85789037e+09  2.14856342e+09  1.41e+06 8.60e-03  7.21e+04     0s
   5  -2.08279664e+09 -1.74320380e+10  1.68e+05 8.62e-12  1.17e+06     0s
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1470   -4.9072205e+09   0.000000e+00   0.000000e+00      1s

Solved in 1470 iterations and 1.49 seconds (0.24 work units)
Optimal objective -4.907220499e+09
   6  -2.34229584e+09 -8.78689499e+09  7.08e+04 3.58e-12  4.46e+05     0s
   4   3.18326573e+09 -1.13952404e+10  3.82e+05 8.26e-12  1.24e+06     0s
   7   1.90676670e+09  2.21872695e+09  1.27e+06 7.78e-03  6.47e+04     0s
   7  -2.48489706e+09 -7.20281323e+09  5.61e+04 2.61e-12  3.21e+05     0s
   8   1.99252772e+09  2.25188637e+09  1.10e+06 6.56e-03  5.81e+04     0s
   5   2.30226455e+09 -4.41591814e+09  1.89e+05 5.91e-12  4.86e+05     0s
   8  -2.57973143e+09 -5.82639185e+09  5.00e+04 2.22e-12  2.21e+05     0s
   9   2.04183546e+09  2.37804087e+09  1.02e+06 4.76e-03  5.19e+04     0s

   6   1.57451666e+09 -3.17339926e+09  1.10e+05 8.19e-12  3.24e+05     0s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 4.9112714e-11      1s

Crossover time: 0.25 seconds (0.10 work units)

Solved with barrier
   9  -2.71972333e+09 -5.33410310e+09  4.13e+04 2.05e-12  1.76e+05     0s
   7   1.45021854e+09 -2.27782477e+09  9.86e+04 6.37e-12  2.58e+05     0s
  10   2.09342117e+09  2.42308319e+09  9.46e+05 4.14e-03  4.87e+04     0s
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    2508   -8.0390419e+08   0.000000e+00   0.000000e+00      1s

Solved in 2508 iterations and 1.16 seconds (0.25 work units)
Optimal objective -8.039041907e+08
  10  -2.79701987e+09 -5.18313985e+09  3.49e+04 2.74e-12  1.60e+05     0s
   8   1.51148266e+09 -1.62835947e+09  8.61e+04 4.55e-12  2.17e+05     0s
  11   2.19184168e+09  2.48279303e+09  7.74e+05 3.38e-03  4.03e+04     1s
  11  -3.10148672e+09 -4.24703315e+09  1.30e+04 1.86e-12  7.47e+04     0s
   9   1.19973685e+09 -1.37201875e+09  4.82e+04 5.46e-12  1.71e+05     0s
  12   2.21575158e+09  2.49407195e+09  7.38e+05 3.21e-03  3.87e+04     1s
  12  -3.24317443e+09 -3.94412737e+09  6.53e+03 1.36e-12  4.50e+04     0s
  10   1.05042045e+09 -1.14476440e+09  4.31e+04 2.04e-12  1.47e+05     1s
  13   2.27740330e+09  2.56636937e+09  6.51e+05 2.56e-03  3.30e+04     1s
  13  -3.30481533e+09 -3.71968454e+09  3.64e+03 1.27e-12  2.65e+04     0s
  11   7.98537565e+08 -5.43355557e+08  3.43e+04 3.64e-12  9.40e+04     1s
  14  -3.36008234e+09 -3.51400840e+09  9.59e+02 1.84e-12  9.65e+03     1s
  12   7.39904657e+08 -3.16897729e+08  2.94e+04 5.00e-12  7.48e+04     1s
  14   2.34980070e+09  2.57284326e+09  5.60e+05 2.44e-03  3.04e+04     1s
  15  -3.36838390e+09 -3.42399375e+09  6.21e+02 1.64e-12  3.60e+03     1s
  13   6.77258187e+08 -2.16272756e+08  2.34e+04 7.39e-13  6.27e+04     1s
  15   2.44224518e+09  2.64995636e+09  4.58e+05 2.12e-03  2.48e+04     1s

  16   2.45607681e+09  2.66701403e+09  4.48e+05 2.05e-03  2.40e+04     1s
  16  -3.38127416e+09 -3.38594532e+09  7.78e+01 1.54e-12  3.12e+02     1s
  14   6.10138323e+08 -6.85044798e+07  1.78e+04 8.77e-13  4.77e+04     1s
  17   2.51106414e+09  2.69265691e+09  3.93e+05 1.90e-03  2.18e+04     1s
  17  -3.38323720e+09 -3.38369705e+09  6.22e+00 1.56e-12  3.02e+01     1s
  15   5.58527650e+08  4.15740526e+07  1.32e+04 6.75e-13  3.61e+04     1s
  18  -3.38342565e+09 -3.38343043e+09  4.82e-02 1.52e-11  3.07e-01     1s
  16   5.35817414e+08  2.25119505e+08  8.74e+03 5.46e-12  2.19e+04     1s
  18   2.59241865e+09  2.77414860e+09  3.18e+05 1.45e-03  1.69e+04     1s
  19  -3.38342766e+09 -3.38342767e+09  4.14e-07 2.11e-11  3.07e-04     1s
  17   4.86416999e+08  2.37393094e+08  4.90e+03 8.64e-12  1.68e+04     1s
  19   2.66291201e+09  2.80662121e+09  2.57e+05 1.29e-03  1.47e+04     1s
  18   4.64882316e+08  2.84426557e+08  3.01e+03 2.27e-12  1.20e+04     1s
  20  -3.38342767e+09 -3.38342767e+09  3.10e-08 1.78e-11  3.07e-07     1s
  20   2.71418464e+09  2.84010623e+09  2.19e+05 1.14e-03  1.29e+04     1s
  19   4.61298668e+08  3.05138590e+08  2.65e+03 5.00e-12  1.04e+04     1s
  21  -3.38342767e+09 -3.38342767e+09  3.21e-08 2.11e-11  3.07e-10     1s

Barrier solved model in 21 iterations and 0.67 seconds (0.14 work units)
Optimal objective -3.38342767e+09

Crossover log...

  20   4.53817631e+08  3.90585001e+08  2.01e+03 9.95e-13  4.57e+03     1s
     670 DPushes remaining with DInf 0.0000000e+00                 1s
  21   2.72753286e+09  2.84770388e+09  2.09e+05 1.10e-03  1.24e+04     1s
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
  21   4.46751727e+08  4.05173190e+08  1.27e+03 8.64e-12  2.98e+03     1s
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
  22   4.36288354e+08  4.22319304e+08  2.14e+02 1.02e-12  9.22e+02     1s
  22   2.75836654e+09  2.88902107e+09  1.84e+05 8.51e-04  1.01e+04     1s
  23   4.34546931e+08  4.26458151e+08  5.50e+01 9.86e-13  5.08e+02     1s
  23   2.77250521e+09  2.90547655e+09  1.73e+05 7.99e-04  9.29e+03     1s
  24   4.34070566e+08  4.31412983e+08  1.20e+01 7.49e-13  1.65e+02     1s

  25   4.33925509e+08  4.33783371e+08  3.72e-01 6.37e-12  8.70e+00     1s
  24   2.79879856e+09  2.91612795e+09  1.56e+05 7.39e-04  8.75e+03     1s
  26   4.33904989e+08  4.33904759e+08  1.20e-05 1.46e-11  1.39e-02     1s
  25   2.82763390e+09  2.93180169e+09  1.37e+05 6.68e-04  7.82e+03     1s
  27   4.33904954e+08  4.33904954e+08  3.43e-07 4.14e-11  1.39e-05     1s
  26   2.84132768e+09  2.95283497e+09  1.27e+05 4.83e-04  6.46e+03     1s
  28   4.33904954e+08  4.33904954e+08  6.66e-08 9.73e-11  1.39e-08     1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    2210 PPushes remaining with PInf 0.0000000e+00                 1s
Read LP format model from file /tmp/linopy-problem-889azhi_.lp
Reading time = 0.14 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x42871416
Model has 6 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [1e+02, 1e+05]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

  29   4.33904954e+08  4.33904954e+08  3.49e-09 1.05e-10  1.39e-11     1s

Barrier solved model in 29 iterations and 0.91 seconds (0.18 work units)
Optimal objective 4.33904954e+08

  27   2.85644659e+09  2.97550981e+09  1.14e+05 3.81e-04  5.17e+03     1s
Crossover log...

     541 DPushes remaining with DInf 0.0000000e+00                 1s
  28   2.86658888e+09  2.98791075e+09  1.07e+05 3.27e-04  4.57e+03     1s
  29   2.87112141e+09  2.98977133e+09  1.04e+05 3.17e-04  4.45e+03     1s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 2.3050006e-11      1s

Crossover time: 0.27 seconds (0.15 work units)
       0 DPushes remaining with DInf 0.0000000e+00                 1s

Solved with barrier

    2201 PPushes remaining with PInf 0.0000000e+00                 1s
  30   2.89964701e+09  2.99058931e+09  8.92e+04 2.60e-04  4.29e+03     1s
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.11s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Iteration    Objective       Primal Inf.    Dual Inf.      Time
    2882   -3.3834277e+09   0.000000e+00   0.000000e+00      1s

Solved in 2882 iterations and 0.96 seconds (0.29 work units)
Optimal objective -3.383427665e+09
  31   2.91501639e+09  3.00776347e+09  7.83e+04 1.68e-04  3.27e+03     1s

Ordering time: 0.02s
  32   2.91665504e+09  3.01671998e+09  7.73e+04 1.47e-04  3.04e+03     1s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 7.0272677e-11      1s


Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
Crossover time: 0.17 seconds (0.08 work units)
  33   2.93287894e+09  3.02046523e+09  6.69e+04 1.10e-04  2.59e+03     1s

Solved with barrier
  34   2.93452056e+09  3.02454377e+09  6.59e+04 9.47e-05  2.42e+03     1s

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0   5.64559307e+09 -4.86721086e+11  7.39e+08 1.27e+03  2.39e+09     0s
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    2744    4.3390495e+08   0.000000e+00   0.000000e+00      1s

Solved in 2744 iterations and 1.13 seconds (0.26 work units)
Optimal objective  4.339049537e+08
  35   2.94266093e+09  3.02608434e+09  6.11e+04 7.89e-05  2.24e+03     1s
   1   1.07538059e+11 -4.34453615e+11  1.01e+08 1.81e+03  1.15e+09     0s
  36   2.94640882e+09  3.03078423e+09  5.87e+04 6.26e-05  2.03e+03     1s
   2   1.03461010e+11 -1.52123380e+11  5.38e+07 2.79e+01  1.78e+08     0s
  37   2.96083758e+09  3.03564295e+09  4.97e+04 4.92e-05  1.68e+03     1s
   3   5.20627413e+09 -6.44929273e+10  1.35e+06 1.29e+00  8.13e+06     0s
  38   2.96606928e+09  3.03662107e+09  4.65e+04 4.68e-05  1.59e+03     1s

  39   2.97325019e+09  3.04072897e+09  4.22e+04 3.82e-05  1.39e+03     1s
   4   3.18300604e+09 -1.68745856e+10  3.56e+05 1.98e-02  1.73e+06     0s
  40   2.97550463e+09  3.04385613e+09  4.07e+04 3.52e-05  1.33e+03     1s
   5   2.39448263e+09 -6.54314349e+09  1.42e+05 3.82e-12  6.45e+05     0s
  41   2.98533940e+09  3.04703057e+09  3.48e+04 3.29e-05  1.11e+03     1s
   6   2.01607345e+09 -3.59951825e+09  1.05e+05 3.31e-12  4.02e+05     0s
   7   1.96897236e+09 -2.82360392e+09  8.27e+04 2.15e-12  3.36e+05     0s
  42   2.99475732e+09  3.04739339e+09  3.00e+04 2.51e-05  9.59e+02     1s
   8   1.78273011e+09 -1.52453453e+09  5.81e+04 2.41e-12  2.29e+05     0s
  43   2.99892852e+09  3.05033003e+09  2.81e+04 1.71e-05  8.40e+02     1s
  44   3.00651752e+09  3.05096427e+09  2.44e+04 1.41e-05  7.56e+02     1s
   9   1.69442087e+09 -1.42754353e+09  5.21e+04 2.68e-12  2.15e+05     0s
  10   1.58889183e+09 -8.86242392e+08  4.51e+04 1.83e-12  1.71e+05     1s
  45   3.01928195e+09  3.05205283e+09  1.81e+04 8.71e-06  5.85e+02     1s
  11   1.43424456e+09 -1.87314056e+08  3.35e+04 1.61e-12  1.13e+05     1s

  46   3.02371221e+09  3.05452051e+09  1.59e+04 3.32e-06  4.21e+02     2s
  12   1.35635656e+09  2.85263875e+07  2.52e+04 1.33e-12  9.17e+04     1s
  47   3.03051855e+09  3.05500856e+09  1.25e+04 2.27e-06  3.26e+02     2s
  13   1.30081447e+09  3.13898320e+08  1.70e+04 8.14e-13  6.72e+04     1s
  48   3.03227249e+09  3.05526556e+09  1.17e+04 1.95e-06  2.99e+02     2s
  14   1.21850291e+09  9.68492410e+08  5.68e+03 1.97e-12  1.75e+04     1s
  49   3.03265523e+09  3.05566746e+09  1.15e+04 1.66e-06  2.86e+02     2s
  15   1.17219221e+09  1.03251163e+09  2.94e+03 1.34e-12  9.68e+03     1s
  50   3.03296337e+09  3.05595301e+09  1.13e+04 1.52e-06  2.79e+02     2s
  16   1.14000566e+09  1.05762262e+09  8.13e+02 1.61e-12  5.31e+03     1s
  51   3.03722657e+09  3.05615484e+09  9.40e+03 1.04e-06  2.42e+02     2s
  17   1.12749409e+09  1.09849787e+09  1.28e+02 5.59e-13  1.80e+03     1s

  52   3.04048048e+09  3.05652678e+09  7.86e+03 2.27e-12  1.96e+02     2s
  18   1.12510384e+09  1.12400962e+09  1.87e+01 1.24e-12  7.39e+01     1s
  19   1.12483885e+09  1.12432694e+09  5.40e+00 1.44e-12  3.31e+01     1s
  53   3.04094474e+09  3.05676586e+09  7.63e+03 7.05e-12  1.83e+02     2s
  20   1.12467550e+09  1.12464947e+09  5.94e-01 5.60e-12  1.82e+00     1s
  54   3.04499751e+09  3.05688113e+09  5.74e+03 6.37e-12  1.39e+02     2s
  55   3.04602115e+09  3.05691612e+09  5.25e+03 6.14e-12  1.29e+02     2s
  21   1.12465618e+09  1.12465569e+09  2.84e-04 2.69e-11  2.97e-02     1s
  22   1.12465589e+09  1.12465589e+09  3.59e-07 6.23e-11  7.79e-05     1s
  56   3.04682594e+09  3.05693288e+09  4.86e+03 2.73e-12  1.19e+02     2s
  23   1.12465589e+09  1.12465589e+09  3.69e-08 1.21e-10  7.79e-08     1s
  57   3.05093000e+09  3.05703931e+09  3.00e+03 2.96e-12  7.91e+01     2s
  24   1.12465589e+09  1.12465589e+09  1.93e-08 9.00e-11  7.79e-11     1s

Barrier solved model in 24 iterations and 0.97 seconds (0.15 work units)
Optimal objective 1.12465589e+09

  58   3.05291147e+09  3.05714777e+09  2.07e+03 6.82e-12  5.50e+01     2s

Crossover log...

  59   3.05358768e+09  3.05722000e+09  1.75e+03 9.09e-12  4.51e+01     2s
      74 DPushes remaining with DInf 0.0000000e+00                 1s
  60   3.05590293e+09  3.05734267e+09  6.81e+02 1.02e-11  1.58e+01     2s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    2073 PPushes remaining with PInf 0.0000000e+00                 1s
  61   3.05725072e+09  3.05738706e+09  7.42e+01 1.96e-11  2.99e+00     2s
  62   3.05739140e+09  3.05739079e+09  3.18e+00 9.31e-10  5.17e-01     2s
  63   3.05739314e+09  3.05739397e+09  2.35e+00 6.68e-10  3.05e-01     2s
  64   3.05739660e+09  3.05739744e+09  5.07e-01 1.98e-09  2.57e-02     2s

  65   3.05739756e+09  3.05739756e+09  2.25e-04 7.79e-11  2.02e-04     2s
  66   3.05739756e+09  3.05739756e+09  7.07e-06 2.80e-11  2.02e-07     2s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 4.3385739e-11      1s

Crossover time: 0.27 seconds (0.07 work units)
  67   3.05739756e+09  3.05739756e+09  5.42e-08 1.89e-11  2.02e-10     2s

Barrier solved model in 67 iterations and 2.19 seconds (0.36 work units)
Optimal objective 3.05739756e+09


Solved with barrier
Crossover log...

Iteration    Objective       Primal Inf.    Dual Inf.      Time
    2148    1.1246559e+09   0.000000e+00   0.000000e+00      1s

Solved in 2148 iterations and 1.28 seconds (0.22 work units)
Optimal objective  1.124655890e+09
       6 DPushes remaining with DInf 0.0000000e+00                 2s
       0 DPushes remaining with DInf 0.0000000e+00                 2s

    1483 PPushes remaining with PInf 0.0000000e+00                 2s

       0 PPushes remaining with PInf 0.0000000e+00                 2s

  Push phase complete: Pinf 0.0000000e+00, Dinf 1.8903989e-11      2s

Crossover time: 0.21 seconds (0.06 work units)

Solved with barrier
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1492    3.0573976e+09   0.000000e+00   0.000000e+00      2s

Solved in 1492 iterations and 2.43 seconds (0.43 work units)
Optimal objective  3.057397558e+09

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(
/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(
/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Read LP format model from file /tmp/linopy-problem-8ifo3lsb.lp
Reading time = 0.10 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x5bd4301d
Model has 6 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [1e+02, 2e+05]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.06s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.01s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0   8.66751518e+09 -4.75621852e+09  7.59e+08 0.00e+00  2.45e+07     0s
   1   5.03007160e+09 -3.53490613e+09  8.11e+06 1.61e-02  1.26e+06     0s
   2   3.14568346e+09  1.42873908e+08  4.67e+06 3.84e-02  3.16e+05     0s
   3   2.33351508e+09  9.34805441e+08  2.58e+06 1.09e-11  1.83e+05     0s
   4   1.99685811e+09  1.13520890e+09  1.82e+06 1.09e-11  1.28e+05     0s
   5   1.84640155e+09  1.30497594e+09  1.38e+06 7.73e-12  9.67e+04     0s
   6   1.77685002e+09  1.43899820e+09  1.10e+06 1.36e-12  7.65e+04     0s
   7   1.77119626e+09  1.55697906e+09  1.03e+06 1.00e-11  7.04e+04     0s
   8   1.78276493e+09  1.68645528e+09  8.90e+05 2.73e-12  6.09e+04     0s
   9   1.81546060e+09  1.80263639e+09  8.07e+05 1.18e-11  5.49e+04     0s
  10   1.87487577e+09  2.00602301e+09  7.18e+05 1.36e-12  4.75e+04     0s

  11   1.95866543e+09  2.19537977e+09  6.40e+05 7.53e-14  4.22e+04     0s
  12   1.99880642e+09  2.22304246e+09  5.98e+05 5.74e-14  4.05e+04     0s
  13   2.05367859e+09  2.29446362e+09  5.43e+05 6.37e-12  3.78e+04     0s
  14   2.11624774e+09  2.33626055e+09  5.02e+05 3.66e-14  3.66e+04     0s
  15   2.18777083e+09  2.50046950e+09  4.55e+05 4.55e-13  3.13e+04     0s
  16   2.27526516e+09  2.64662510e+09  3.96e+05 5.91e-12  2.55e+04     0s
  17   2.34276433e+09  2.76639927e+09  3.63e+05 4.09e-12  2.22e+04     0s
  18   2.40030796e+09  2.82752941e+09  3.34e+05 1.36e-12  2.07e+04     0s
  19   2.52942301e+09  2.87565689e+09  2.64e+05 5.91e-12  1.73e+04     0s
  20   2.59771908e+09  2.93918100e+09  2.32e+05 3.64e-12  1.47e+04     1s

  21   2.66217307e+09  2.95453161e+09  2.02e+05 5.91e-12  1.34e+04     1s
  22   2.69999627e+09  2.96429143e+09  1.85e+05 1.36e-12  1.27e+04     1s
  23   2.73418773e+09  2.98217016e+09  1.71e+05 1.41e-11  1.18e+04     1s
  24   2.78254255e+09  3.03101108e+09  1.50e+05 3.41e-13  9.29e+03     1s
  25   2.80422719e+09  3.07205456e+09  1.40e+05 1.82e-12  7.40e+03     1s
  26   2.83310214e+09  3.08579865e+09  1.28e+05 5.46e-12  6.97e+03     1s
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
  27   2.84947385e+09  3.09643858e+09  1.21e+05 4.55e-12  6.58e+03     1s
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
  28   2.88259968e+09  3.11143986e+09  1.10e+05 9.09e-12  6.02e+03     1s
  29   2.92778899e+09  3.12784210e+09  9.25e+04 4.55e-12  4.94e+03     1s
  30   2.99841505e+09  3.15777611e+09  6.64e+04 7.28e-12  2.92e+03     1s
  31   3.08465541e+09  3.15992363e+09  3.54e+04 9.55e-12  2.14e+03     1s
  32   3.13272871e+09  3.16768373e+09  1.83e+04 9.55e-12  1.38e+03     1s
  33   3.15415265e+09  3.17242846e+09  1.06e+04 4.55e-12  9.15e+02     1s
  34   3.16864699e+09  3.17807822e+09  5.34e+03 2.05e-12  4.52e+02     1s
  35   3.17511869e+09  3.18133258e+09  3.02e+03 6.82e-13  2.05e+02     1s

  36   3.18173476e+09  3.18249241e+09  6.05e+02 4.09e-12  7.05e+01     1s
Read LP format model from file /tmp/linopy-problem-aqrpi70i.lp
Reading time = 0.13 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0xc76c17b0
Model has 6 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [1e+01, 5e+04]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

  37   3.18232302e+09  3.18286604e+09  3.97e+02 9.09e-12  4.35e+01     1s
  38   3.18290548e+09  3.18305872e+09  1.88e+02 7.28e-12  2.69e+01     1s
  39   3.18343140e+09  3.18341572e+09  5.59e-01 3.64e-12  1.05e+00     1s
  40   3.18341809e+09  3.18341787e+09  1.34e-05 5.51e-10  1.36e-02     1s
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.08s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

  41   3.18341805e+09  3.18341805e+09  4.51e-07 9.05e-11  1.86e-08     1s
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Ordering time: 0.02s
  42   3.18341805e+09  3.18341805e+09  9.31e-09 9.60e-11  1.86e-11     1s

Barrier solved model in 42 iterations and 0.87 seconds (0.24 work units)
Optimal objective 3.18341805e+09


Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
Crossover log...


                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0   2.31064696e+09 -1.91222395e+11  7.39e+08 1.92e+02  9.37e+08     0s

     226 DPushes remaining with DInf 0.0000000e+00                 1s
Read LP format model from file /tmp/linopy-problem-th777duh.lp
Reading time = 0.09 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x5308d7d5
Model has 6 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [1e+02, 2e+05]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

   1  -4.02551884e+09 -1.78671303e+11  1.24e+08 3.01e+02  4.93e+08     0s
   2   1.08673988e+10 -5.35018347e+10  6.00e+07 2.31e+01  5.65e+07     0s
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.04s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.01s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
   3   2.20522639e+09 -2.24160126e+10  5.19e+06 2.49e+00  6.03e+06     0s

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -6.60714130e+09 -9.63912148e+11  7.39e+08 2.53e+03  4.73e+09     0s
   1  -1.99094941e+11 -9.12687618e+11  1.46e+08 5.04e+03  2.67e+09     0s
   2  -1.92258737e+11 -2.89142643e+11  7.06e+07 1.19e+02  3.81e+08     0s
   3  -1.83824154e+10 -1.35270515e+11  5.62e+06 1.12e+01  3.61e+07     0s
   4   1.97493063e+09 -6.76130434e+09  4.47e+05 1.02e-01  8.31e+05     0s
   4  -3.82122873e+09 -5.23739686e+10  4.91e+05 4.26e-01  4.80e+06     0s
   5  -2.93707708e+09 -2.39077169e+10  1.90e+05 7.36e-02  1.68e+06     0s
       0 DPushes remaining with DInf 0.0000000e+00                 1s
   6  -2.73146213e+09 -8.26684758e+09  9.50e+04 5.46e-12  4.27e+05     0s

    2109 PPushes remaining with PInf 0.0000000e+00                 1s
   5   1.96177057e+09 -2.22531690e+09  2.15e+05 2.74e-02  3.45e+05     0s
   7  -2.90788419e+09 -5.40455823e+09  2.22e+04 3.38e-12  1.66e+05     0s
   8  -3.07876845e+09 -4.58929428e+09  1.22e+04 2.94e-12  9.82e+04     0s
   9  -3.22268093e+09 -3.92147736e+09  5.99e+03 2.29e-12  4.50e+04     0s
   6   1.93575288e+09  4.89694447e+08  1.55e+05 1.13e-12  1.25e+05     0s
  10  -3.34165329e+09 -3.67915991e+09  1.62e+03 1.62e-12  2.11e+04     0s

  11  -3.38475694e+09 -3.53412576e+09  6.48e+02 9.88e-13  9.32e+03     0s
  12  -3.40194380e+09 -3.48784416e+09  3.44e+02 7.72e-13  5.35e+03     0s
   7   1.78167714e+09  1.20974759e+09  4.77e+04 8.64e-13  4.31e+04     0s
  13  -3.41230076e+09 -3.44094597e+09  1.68e+02 9.47e-13  1.80e+03     0s
  14  -3.41953422e+09 -3.42720913e+09  4.36e+01 1.59e-12  4.81e+02     0s
  15  -3.42195885e+09 -3.42290470e+09  4.66e+00 1.55e-12  5.89e+01     0s
   8   1.69235329e+09  1.47375761e+09  1.76e+04 5.00e-12  1.59e+04     0s
  16  -3.42231969e+09 -3.42232853e+09  2.69e-06 4.09e-12  5.32e-01     0s
  17  -3.42232225e+09 -3.42232226e+09  1.28e-08 4.89e-12  5.32e-04     0s
  18  -3.42232226e+09 -3.42232226e+09  1.19e-08 5.91e-12  6.98e-10     0s

Barrier solved model in 18 iterations and 0.27 seconds (0.12 work units)
Optimal objective -3.42232226e+09

Crossover log...

   9   1.65544797e+09  1.56934091e+09  5.76e+03 2.41e-13  6.00e+03     0s
       4 DPushes remaining with DInf 0.0000000e+00                 0s
       0 DPushes remaining with DInf 0.0000000e+00                 0s

     574 PPushes remaining with PInf 0.0000000e+00                 0s
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
  10   1.64666088e+09  1.59882683e+09  3.45e+03 2.41e-13  3.36e+03     1s
       0 PPushes remaining with PInf 0.0000000e+00                 0s

  Push phase complete: Pinf 0.0000000e+00, Dinf 3.2258640e-11      0s

       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 1.8843201e+04      1s

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Crossover time: 0.05 seconds (0.02 work units)

Solved with barrier
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    2336    3.1834181e+09   0.000000e+00   1.884320e+04      1s
Iteration    Objective       Primal Inf.    Dual Inf.      Time
     581   -3.4223223e+09   0.000000e+00   0.000000e+00      0s

Solved in 581 iterations and 0.33 seconds (0.15 work units)
Optimal objective -3.422322255e+09
Crossover time: 0.40 seconds (0.09 work units)
  11   1.63479080e+09  1.62431176e+09  4.65e+02 4.55e-13  6.95e+02     1s

Solved with barrier
  12   1.63331942e+09  1.63017814e+09  1.73e+02 3.31e-13  2.12e+02     1s
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
    2337    3.1834181e+09   0.000000e+00   0.000000e+00      1s

Solved in 2337 iterations and 1.33 seconds (0.34 work units)
Optimal objective  3.183418052e+09
  13   1.63249540e+09  1.63207801e+09  1.36e+01 3.15e-13  2.70e+01     1s

  14   1.63240623e+09  1.63239743e+09  6.74e-01 9.55e-12  6.17e-01     1s
  15   1.63240092e+09  1.63240086e+09  1.19e-05 1.04e-10  3.75e-03     1s
Read LP format model from file /tmp/linopy-problem-0rqfrdre.lp
Reading time = 0.15 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x91125b58
Model has 6 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [1e+01, 1e+05]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

  16   1.63240089e+09  1.63240089e+09  9.26e-08 7.73e-12  3.93e-08     1s
Read LP format model from file /tmp/linopy-problem-kj8ttbyd.lp
Reading time = 0.11 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0xba211b89
Model has 6 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [3e+01, 1e+05]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

  17   1.63240089e+09  1.63240089e+09  2.54e-08 4.68e-11  3.93e-11     1s

Barrier solved model in 17 iterations and 0.70 seconds (0.12 work units)
Optimal objective 1.63240089e+09

Crossover log...

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.07s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

      13 DPushes remaining with DInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s
Warning: Markowitz tolerance tightened to 0.25

     757 PPushes remaining with PInf 0.0000000e+00                 1s
Ordering time: 0.01s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.09s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...


                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0   2.30963708e+09 -3.66489471e+11  7.39e+08 6.70e+02  1.80e+09     0s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 9.3827168e-12      1s

   1   1.87701780e+10 -3.30865449e+11  1.09e+08 1.40e+03  8.78e+08     0s
Crossover time: 0.12 seconds (0.03 work units)

Solved with barrier
   2   1.79808352e+10 -1.08429529e+11  5.19e+07 2.47e+01  1.20e+08     0s

Ordering time: 0.03s
Iteration    Objective       Primal Inf.    Dual Inf.      Time
     773    1.6324009e+09   0.000000e+00   0.000000e+00      1s

Solved in 773 iterations and 0.85 seconds (0.15 work units)
Optimal objective  1.632400893e+09
   3   2.26616585e+09 -4.39755917e+10  1.81e+06 1.46e+00  6.59e+06     0s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
   4   1.86301211e+09 -1.24641611e+10  4.62e+05 4.19e-02  1.41e+06     0s

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -3.79921976e+09 -1.12326590e+12  7.39e+08 2.94e+03  5.51e+09     0s
   1  -7.14327612e+10 -9.89216322e+11  1.10e+08 5.80e+03  2.74e+09     0s
   5   1.61399466e+09 -5.73026516e+09  1.81e+05 8.64e-12  5.78e+05     0s
   2  -5.87968204e+10 -3.61380996e+11  5.91e+07 6.85e+01  4.43e+08     0s
   6   1.43889815e+09 -2.49632530e+09  1.32e+05 3.68e-12  3.10e+05     0s
   7   1.30282671e+09 -1.56781709e+09  9.26e+04 1.87e-12  2.18e+05     0s
   3  -4.70134378e+09 -1.68278724e+11  1.69e+06 1.45e+00  2.14e+07     0s
   8   1.17124233e+09 -9.08510125e+08  4.27e+04 1.29e-12  1.45e+05     0s
   4  -3.77886873e+09 -4.84974127e+10  4.56e+05 2.40e-11  4.33e+06     0s
   9   1.02228983e+09 -2.62035648e+08  2.57e+04 1.36e-12  8.82e+04     0s
   5  -3.68516465e+09 -2.31619997e+10  1.50e+05 1.91e-11  1.46e+06     0s
  10   9.59152963e+08 -1.96130615e+08  2.08e+04 7.28e-12  7.83e+04     0s
   6  -3.78152090e+09 -1.36178408e+10  1.07e+05 8.28e-12  7.19e+05     0s
  11   8.94298952e+08 -3.62941752e+07  1.37e+04 1.19e-12  6.18e+04     0s
   7  -3.97079256e+09 -1.02771291e+10  6.53e+04 5.14e-12  4.39e+05     0s
  12   8.98890111e+08  7.54392858e+07  1.33e+04 7.28e-12  5.50e+04     0s
   8  -4.25863186e+09 -9.73969311e+09  5.00e+04 3.12e-12  3.73e+05     0s
  13   8.59742558e+08  1.77706186e+08  1.01e+04 5.00e-12  4.51e+04     0s
   9  -4.41215668e+09 -9.40815814e+09  4.37e+04 2.88e-12  3.37e+05     0s

  10  -4.66619787e+09 -8.45148490e+09  3.24e+04 2.86e-12  2.52e+05     0s
  14   8.01302784e+08  3.51632312e+08  5.12e+03 7.73e-12  2.92e+04     0s
  11  -4.89198641e+09 -7.18426227e+09  1.56e+04 2.11e-12  1.48e+05     0s
  15   7.85165309e+08  4.51754385e+08  3.71e+03 1.05e-11  2.16e+04     0s
  12  -5.07860942e+09 -6.72235048e+09  1.22e+04 2.28e-12  1.06e+05     0s
  16   7.82439000e+08  5.32904002e+08  3.46e+03 3.64e-12  1.64e+04     0s
  13  -5.09621887e+09 -6.42729010e+09  1.14e+04 2.67e-12  8.70e+04     0s
  17   7.67941048e+08  5.38151841e+08  2.18e+03 9.27e-13  1.47e+04     0s
  14  -5.17134874e+09 -6.41104127e+09  9.59e+03 2.78e-12  8.04e+04     0s
  18   7.58005942e+08  6.57171023e+08  1.31e+03 9.09e-12  6.57e+03     0s
  15  -5.31293799e+09 -5.95386526e+09  5.80e+03 2.05e-12  4.20e+04     0s
  19   7.53694080e+08  6.70476456e+08  9.12e+02 1.14e-11  5.36e+03     0s
  16  -5.33977835e+09 -5.89548680e+09  5.06e+03 1.09e-12  3.64e+04     0s
  20   7.48222055e+08  6.88571656e+08  3.78e+02 5.91e-12  3.75e+03     0s
  17  -5.40619243e+09 -5.70096694e+09  2.51e+03 1.44e-12  1.90e+04     0s
  21   7.47145853e+08  7.03450592e+08  2.79e+02 1.10e-12  2.75e+03     1s
  18  -5.48625221e+09 -5.54513727e+09  2.97e+02 2.82e-12  3.69e+03     1s
  22   7.45412588e+08  7.38404880e+08  1.25e+02 2.32e-11  4.67e+02     1s
  19  -5.49829823e+09 -5.51486738e+09  6.70e+01 1.75e-12  1.03e+03     1s
  23   7.44035672e+08  7.40299290e+08  1.67e+01 5.91e-12  2.32e+02     1s
  20  -5.50124623e+09 -5.50904229e+09  1.34e+01 1.15e-12  4.76e+02     1s
  24   7.43784214e+08  7.41669795e+08  4.04e-01 1.23e-11  1.28e+02     1s
  21  -5.50193246e+09 -5.50422535e+09  3.50e+00 2.03e-12  1.40e+02     1s
  25   7.43739041e+08  7.43558365e+08  8.17e-02 2.00e-12  1.09e+01     1s

  22  -5.50202061e+09 -5.50288217e+09  2.57e+00 2.21e-12  5.31e+01     1s
  26   7.43736035e+08  7.43727346e+08  5.07e-02 1.25e-10  5.40e-01     1s
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
  23  -5.50210153e+09 -5.50230880e+09  1.67e+00 3.64e-12  1.33e+01     1s
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
  27   7.43728889e+08  7.43728639e+08  2.58e-04 2.06e-09  1.50e-02     1s
  24  -5.50211537e+09 -5.50228575e+09  1.36e+00 1.93e-12  1.09e+01     1s
  28   7.43728839e+08  7.43728837e+08  3.93e-05 9.78e-11  4.96e-05     1s
  25  -5.50222440e+09 -5.50224447e+09  1.01e-02 3.69e-11  1.21e+00     1s
  26  -5.50223033e+09 -5.50223166e+09  8.91e-05 3.41e-11  8.00e-02     1s
  29   7.43728837e+08  7.43728837e+08  1.07e-08 6.49e-10  2.61e-10     1s

Barrier solved model in 29 iterations and 0.66 seconds (0.18 work units)
Optimal objective 7.43728837e+08

Crossover log...

  27  -5.50223053e+09 -5.50223054e+09  1.45e-06 9.06e-11  2.17e-04     1s
       3 DPushes remaining with DInf 0.0000000e+00                 1s
  28  -5.50223054e+09 -5.50223054e+09  2.18e-06 6.08e-11  6.07e-07     1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    1547 PPushes remaining with PInf 0.0000000e+00                 1s
  29  -5.50223054e+09 -5.50223054e+09  5.45e-08 9.53e-10  8.94e-12     1s

Barrier solved model in 29 iterations and 0.70 seconds (0.18 work units)
Optimal objective -5.50223054e+09

Crossover log...

       7 DPushes remaining with DInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    1919 PPushes remaining with PInf 0.0000000e+00                 1s

       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 3.8909320e-11      1s

Read LP format model from file /tmp/linopy-problem-m962gyp4.lp
Reading time = 0.17 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Crossover time: 0.14 seconds (0.06 work units)

Solved with barrier
Model fingerprint: 0x52069ac6
Model has 6 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [1e+02, 1e+05]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1553    7.4372884e+08   0.000000e+00   0.000000e+00      1s

Solved in 1553 iterations and 0.83 seconds (0.24 work units)
Optimal objective  7.437288371e+08
       0 PPushes remaining with PInf 0.0000000e+00                 1s
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.07s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...


  Push phase complete: Pinf 0.0000000e+00, Dinf 2.3106850e-11      1s

Crossover time: 0.16 seconds (0.06 work units)

Solved with barrier
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1929   -5.5022305e+09   0.000000e+00   0.000000e+00      1s

Solved in 1929 iterations and 0.88 seconds (0.25 work units)
Optimal objective -5.502230538e+09
Ordering time: 0.02s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0   4.15566486e+09 -7.60411156e+11  7.39e+08 1.99e+03  3.74e+09     0s
   1   9.79694797e+10 -6.62596036e+11  9.45e+07 3.33e+03  1.74e+09     0s

   2   9.24124875e+10 -2.60691346e+11  5.06e+07 4.03e+01  2.95e+08     0s
   3   2.93436309e+09 -1.16247458e+11  9.63e+05 2.99e-01  1.21e+07     0s
   4   1.68023644e+09 -3.43338893e+10  4.39e+05 2.24e-11  3.31e+06     0s
   5   7.72037924e+08 -1.62395627e+10  1.78e+05 9.56e-12  1.26e+06     0s
   6   3.47044445e+08 -9.00014719e+09  1.13e+05 4.03e-12  6.54e+05     0s
   7   1.15478548e+08 -8.05424758e+09  9.16e+04 4.02e-12  5.60e+05     0s
   8  -3.28946641e+08 -6.77967704e+09  7.15e+04 3.21e-12  4.36e+05     0s
   9  -5.97555000e+08 -6.44431986e+09  5.92e+04 3.20e-12  3.91e+05     0s
  10  -8.59045467e+08 -5.97525852e+09  5.23e+04 3.26e-12  3.41e+05     0s
  11  -1.04743829e+09 -4.86250117e+09  4.32e+04 2.57e-12  2.54e+05     0s
  12  -1.15722342e+09 -4.54632868e+09  3.56e+04 2.45e-12  2.24e+05     0s
  13  -1.64588206e+09 -3.59312352e+09  2.42e+04 2.85e-12  1.32e+05     0s
  14  -1.82846867e+09 -2.72181640e+09  1.17e+04 2.22e-12  6.06e+04     0s
  15  -1.91323996e+09 -2.64189246e+09  7.98e+03 2.22e-12  4.86e+04     0s
  16  -1.93560906e+09 -2.51196454e+09  7.06e+03 1.82e-12  3.90e+04     0s

  17  -1.99759910e+09 -2.47394234e+09  3.13e+03 1.65e-12  3.06e+04     0s
  18  -2.02033981e+09 -2.36659096e+09  2.24e+03 1.51e-12  2.22e+04     0s
  19  -2.02373087e+09 -2.34141733e+09  1.96e+03 1.88e-12  2.03e+04     0s
  20  -2.03800191e+09 -2.27867418e+09  1.62e+03 2.35e-12  1.55e+04     0s
  21  -2.04269978e+09 -2.26695593e+09  1.43e+03 2.10e-12  1.44e+04     0s
  22  -2.05551018e+09 -2.23409578e+09  6.97e+02 1.68e-12  1.12e+04     0s
  23  -2.05505705e+09 -2.20956834e+09  6.77e+02 2.85e-12  9.72e+03     0s
  24  -2.05679912e+09 -2.18536252e+09  5.13e+02 2.25e-12  8.05e+03     0s
  25  -2.06162889e+09 -2.17934551e+09  3.66e+02 2.24e-12  7.31e+03     0s
  26  -2.06138573e+09 -2.17482125e+09  3.53e+02 1.68e-12  7.04e+03     1s
  27  -2.06393012e+09 -2.16163132e+09  2.52e+02 2.00e-12  6.04e+03     1s
  28  -2.06625124e+09 -2.14851831e+09  1.40e+02 1.52e-12  5.04e+03     1s
  29  -2.06808859e+09 -2.13816369e+09  5.69e+01 1.91e-12  4.25e+03     1s
  30  -2.06820371e+09 -2.12187830e+09  4.43e+01 1.62e-12  3.26e+03     1s
  31  -2.07032509e+09 -2.11595877e+09  2.72e+01 2.64e-12  2.76e+03     1s
  32  -2.07038741e+09 -2.09555788e+09  2.64e+01 1.75e-12  1.53e+03     1s
  33  -2.07149210e+09 -2.07334984e+09  1.04e+01 2.15e-12  1.18e+02     1s
  34  -2.07218094e+09 -2.07253568e+09  1.20e+00 2.23e-12  2.21e+01     1s
  35  -2.07229315e+09 -2.07231241e+09  8.83e-07 2.01e-12  1.16e+00     1s
  36  -2.07229366e+09 -2.07229996e+09  5.95e-07 2.66e-12  3.80e-01     1s

  37  -2.07229361e+09 -2.07229424e+09  1.08e-08 1.46e-11  3.84e-02     1s
  38  -2.07229397e+09 -2.07229403e+09  6.54e-08 1.46e-11  3.12e-03     1s
  39  -2.07229398e+09 -2.07229398e+09  1.54e-07 2.09e-11  3.12e-06     1s
  40  -2.07229398e+09 -2.07229398e+09  7.99e-08 6.50e-11  3.12e-09     1s

Barrier solved model in 40 iterations and 0.66 seconds (0.24 work units)
Optimal objective -2.07229398e+09

Crossover log...

      10 DPushes remaining with DInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    1907 PPushes remaining with PInf 0.0000000e+00                 1s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 7.3299589e-11      1s

Crossover time: 0.09 seconds (0.06 work units)

Solved with barrier
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1920   -2.0722940e+09   0.000000e+00   0.000000e+00      1s

Solved in 1920 iterations and 0.77 seconds (0.30 work units)
Optimal objective -2.072293976e+09

Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Read LP format model from file /tmp/linopy-problem-_i54cea5.lp
Reading time = 0.07 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0xfcb06e18
Model has 6 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [5e+01, 8e+04]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.03s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.01s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -3.60951263e+09 -9.62831038e+11  7.39e+08 2.52e+03  4.73e+09     0s
   1  -9.03020309e+10 -8.61691268e+11  1.15e+08 5.07e+03  2.44e+09     0s
Read LP format model from file /tmp/linopy-problem-a2xgrgr1.lp
   2  -8.22763772e+10 -2.96709043e+11  6.26e+07 6.47e+01  3.79e+08     0s
Reading time = 0.10 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0xd1f86af3
Model has 6 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [9e+01, 1e+05]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

   3  -5.83295568e+09 -1.41844359e+11  2.40e+06 2.12e+00  2.16e+07     0s
   4  -3.50159115e+09 -4.22371526e+10  4.85e+05 2.20e-11  3.86e+06     0s
   5  -3.24535601e+09 -2.25183789e+10  1.70e+05 1.03e-11  1.48e+06     0s
   6  -3.35447084e+09 -1.12433985e+10  1.08e+05 7.68e-12  5.88e+05     0s
   7  -3.60576421e+09 -8.73657218e+09  6.46e+04 6.06e-12  3.64e+05     0s
   8  -3.86410688e+09 -8.06790528e+09  4.56e+04 4.72e-12  2.89e+05     0s

   9  -4.09585299e+09 -7.35562392e+09  3.34e+04 3.11e-12  2.20e+05     0s
  10  -4.22508382e+09 -6.81507996e+09  2.70e+04 2.79e-12  1.74e+05     0s
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.08s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

  11  -4.55402778e+09 -6.57337903e+09  1.32e+04 2.72e-12  1.30e+05     0s
Ordering time: 0.01s
  12  -4.65801686e+09 -6.44166105e+09  8.11e+03 2.71e-12  1.13e+05     0s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
  13  -4.65510367e+09 -6.15949508e+09  5.26e+03 2.28e-12  9.38e+04     0s

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -4.28673020e+09 -6.25473416e+11  7.39e+08 1.64e+03  3.07e+09     0s
   1  -1.36963235e+11 -6.02429694e+11  1.42e+08 3.41e+03  1.80e+09     0s
  14  -4.74910408e+09 -5.47718165e+09  3.20e+03 2.13e-12  4.56e+04     0s
  15  -4.77758585e+09 -5.32038134e+09  2.64e+03 1.83e-12  3.41e+04     0s
   2  -1.30893841e+11 -1.96372451e+11  7.27e+07 7.81e+01  2.72e+08     0s
  16  -4.79755201e+09 -5.16371472e+09  2.08e+03 1.54e-12  2.32e+04     0s
   3  -1.09900455e+10 -8.58112101e+10  4.65e+06 6.65e+00  2.13e+07     0s
  17  -4.81542428e+09 -5.14904770e+09  1.46e+03 1.72e-12  2.09e+04     0s
   4  -3.58432312e+09 -3.58824008e+10  6.14e+05 1.36e-01  3.53e+06     0s
  18  -4.83712100e+09 -4.92346367e+09  8.47e+02 2.49e-12  5.63e+03     0s
   5  -2.93498265e+09 -1.73767416e+10  2.55e+05 8.78e-03  1.26e+06     0s
  19  -4.84662950e+09 -4.91911509e+09  6.93e+02 2.60e-12  4.71e+03     0s
   6  -2.86790202e+09 -7.50392278e+09  1.54e+05 3.08e-12  4.06e+05     0s
  20  -4.86550291e+09 -4.90570279e+09  2.90e+02 2.47e-12  2.57e+03     0s
   7  -2.99425091e+09 -5.67869886e+09  6.40e+04 3.22e-12  2.03e+05     0s

  21  -4.87391242e+09 -4.88981361e+09  1.19e+02 1.81e-12  1.02e+03     0s
   8  -3.18148647e+09 -4.82556335e+09  3.93e+04 3.08e-12  1.21e+05     0s
  22  -4.87906271e+09 -4.88102985e+09  1.81e+01 3.19e-12  1.27e+02     0s
   9  -3.37987906e+09 -4.47916662e+09  2.12e+04 1.77e-12  7.70e+04     0s
  23  -4.88011797e+09 -4.88026346e+09  5.38e-01 2.18e-12  9.03e+00     0s
  10  -3.45430676e+09 -4.11908742e+09  1.45e+04 2.07e-12  4.68e+04     0s
  24  -4.88016959e+09 -4.88017549e+09  1.05e-02 7.39e-11  3.60e-01     0s
  11  -3.48152158e+09 -4.02392485e+09  1.17e+04 1.38e-12  3.80e+04     0s
  25  -4.88017113e+09 -4.88017113e+09  3.08e-07 1.73e-11  5.44e-06     0s
  12  -3.54132666e+09 -3.94231614e+09  5.17e+03 2.32e-12  2.64e+04     0s
  26  -4.88017113e+09 -4.88017113e+09  5.96e-08 8.16e-10  5.44e-09     0s

Barrier solved model in 26 iterations and 0.44 seconds (0.16 work units)
Optimal objective -4.88017113e+09

Crossover log...

  13  -3.58371836e+09 -3.76604685e+09  1.43e+03 1.76e-12  1.16e+04     0s
  14  -3.59756734e+09 -3.65500251e+09  7.59e+02 1.31e-12  3.76e+03     0s
      12 DPushes remaining with DInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    1624 PPushes remaining with PInf 0.0000000e+00                 1s
  15  -3.60598140e+09 -3.63953319e+09  4.08e+02 1.27e-12  2.18e+03     0s

  16  -3.61106605e+09 -3.62699203e+09  1.88e+02 1.02e-12  1.03e+03     0s
  17  -3.61321730e+09 -3.61986617e+09  9.70e+01 8.72e-13  4.38e+02     0s
  18  -3.61513684e+09 -3.61744756e+09  2.00e+01 8.08e-13  1.47e+02     1s
  19  -3.61547939e+09 -3.61666048e+09  6.30e+00 6.22e-13  7.36e+01     1s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 6.0012439e-11      1s

Crossover time: 0.19 seconds (0.06 work units)

Solved with barrier
  20  -3.61552368e+09 -3.61641703e+09  4.87e+00 2.98e-13  5.57e+01     1s
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1639   -4.8801711e+09   0.000000e+00   0.000000e+00      1s

Solved in 1639 iterations and 0.67 seconds (0.22 work units)
Optimal objective -4.880171132e+09
  21  -3.61565846e+09 -3.61569029e+09  7.35e-06 1.63e-12  1.92e+00     1s
  22  -3.61567385e+09 -3.61567424e+09  3.73e-09 1.73e-12  2.35e-02     1s
  23  -3.61567396e+09 -3.61567396e+09  4.35e-08 1.46e-11  3.55e-06     1s

  24  -3.61567396e+09 -3.61567396e+09  4.19e-08 1.41e-11  7.05e-11     1s

Barrier solved model in 24 iterations and 0.70 seconds (0.16 work units)
Optimal objective -3.61567396e+09

Crossover log...

      32 DPushes remaining with DInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    1119 PPushes remaining with PInf 0.0000000e+00                 1s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 4.5588422e-11      1s

Crossover time: 0.17 seconds (0.04 work units)

Solved with barrier
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1154   -3.6156740e+09   0.000000e+00   0.000000e+00      1s

Solved in 1154 iterations and 0.89 seconds (0.21 work units)
Optimal objective -3.615673959e+09

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)
/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)
/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)
/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(
/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Read LP format model from file /tmp/linopy-problem-ebi5tarb.lp
Reading time = 0.05 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x5fc49075
Model has 6 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [1e+02, 1e+05]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.03s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.01s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0   8.13590442e+09 -4.14160090e+09  7.58e+08 0.00e+00  2.13e+07     0s
   1   4.52970353e+09 -3.14007845e+09  8.54e+06 1.23e-02  1.25e+06     0s
   2   2.83586150e+09  1.11829222e+08  4.85e+06 5.45e-02  2.89e+05     0s
   3   1.87838733e+09  1.06407377e+09  3.29e+06 2.00e-02  1.81e+05     0s
   4   1.74076446e+09  1.31206223e+09  2.42e+06 6.96e-03  1.34e+05     0s
   5   1.69126518e+09  1.47806554e+09  1.81e+06 1.37e-04  1.00e+05     0s
   6   1.71363959e+09  1.51995424e+09  1.71e+06 5.26e-13  9.59e+04     0s
   7   1.72887611e+09  1.63068270e+09  1.49e+06 6.39e-13  8.34e+04     0s
   8   1.75037835e+09  1.67759782e+09  1.37e+06 3.69e-13  7.75e+04     0s
   9   1.79643245e+09  1.73975941e+09  1.17e+06 9.09e-13  6.84e+04     0s

  10   1.88603178e+09  1.87362441e+09  1.05e+06 4.55e-13  6.38e+04     0s
  11   2.02302520e+09  2.03643184e+09  8.33e+05 4.69e-13  5.49e+04     0s
  12   2.09705452e+09  2.31509748e+09  7.85e+05 2.70e-13  4.79e+04     0s
  13   2.14708848e+09  2.38352129e+09  7.36e+05 2.98e-13  4.52e+04     0s
  14   2.20248022e+09  2.45705939e+09  6.86e+05 4.09e-12  4.32e+04     0s
  15   2.29406247e+09  2.55903548e+09  6.12e+05 7.11e-14  3.94e+04     0s
  16   2.31134687e+09  2.59163553e+09  6.01e+05 3.64e-12  3.85e+04     0s
  17   2.37270332e+09  2.65926475e+09  5.54e+05 1.42e-13  3.58e+04     0s
  18   2.42057280e+09  2.68995486e+09  5.24e+05 2.56e-13  3.49e+04     0s
  19   2.46647169e+09  2.77278780e+09  4.91e+05 1.82e-12  3.19e+04     0s
  20   2.51800122e+09  2.88479894e+09  4.58e+05 7.28e-12  2.84e+04     0s
  21   2.56117349e+09  2.95663238e+09  4.33e+05 4.55e-13  2.65e+04     0s
  22   2.59097915e+09  2.97999929e+09  4.15e+05 1.71e-13  2.57e+04     0s
  23   2.64473675e+09  3.02138249e+09  3.84e+05 1.26e-13  2.39e+04     0s
  24   2.65856698e+09  3.04085122e+09  3.76e+05 1.36e-12  2.33e+04     0s
  25   2.70579493e+09  3.09696153e+09  3.52e+05 1.82e-12  2.14e+04     0s
  26   2.76073539e+09  3.13648015e+09  3.27e+05 1.36e-12  2.04e+04     0s
  27   2.81268184e+09  3.20165304e+09  3.02e+05 4.09e-12  1.79e+04     0s
  28   2.85248500e+09  3.22249365e+09  2.83e+05 5.46e-12  1.70e+04     0s
  29   2.89825877e+09  3.24220256e+09  2.62e+05 1.36e-12  1.59e+04     0s
  30   3.02742936e+09  3.27588998e+09  2.07e+05 4.55e-13  1.45e+04     0s
  31   3.10726495e+09  3.36433616e+09  1.74e+05 9.09e-12  1.04e+04     0s
  32   3.15660477e+09  3.40591555e+09  1.54e+05 5.00e-12  8.42e+03     0s

  33   3.17913646e+09  3.43412670e+09  1.44e+05 1.23e-11  7.38e+03     0s
  34   3.18993341e+09  3.44672477e+09  1.40e+05 1.27e-11  6.41e+03     0s
  35   3.21492113e+09  3.46091374e+09  1.30e+05 1.50e-11  6.15e+03     0s
  36   3.28142197e+09  3.48466638e+09  1.03e+05 1.55e-11  4.47e+03     0s
  37   3.33060515e+09  3.50048448e+09  8.42e+04 5.00e-12  3.52e+03     0s
  38   3.38747140e+09  3.51585889e+09  6.21e+04 5.91e-12  2.50e+03     0s
  39   3.49252538e+09  3.52191205e+09  2.12e+04 4.55e-12  1.75e+03     0s
  40   3.51658843e+09  3.53500279e+09  1.17e+04 2.27e-12  8.46e+02     0s
  41   3.51750124e+09  3.53553587e+09  1.14e+04 3.64e-12  8.12e+02     0s
  42   3.52878905e+09  3.53960845e+09  6.86e+03 6.37e-12  4.96e+02     0s
  43   3.54141989e+09  3.54212487e+09  1.80e+03 2.27e-12  2.62e+02     0s
  44   3.54283650e+09  3.54249899e+09  1.25e+03 9.09e-12  2.32e+02     0s
  45   3.54493243e+09  3.54357994e+09  4.03e+02 2.05e-12  1.51e+02     0s
  46   3.54537620e+09  3.54503785e+09  2.17e+02 1.49e-10  5.74e+01     0s
  47   3.54586556e+09  3.54590871e+09  2.09e+01 1.32e-11  8.94e-01     0s
  48   3.54591409e+09  3.54591398e+09  8.38e-05 3.44e-10  6.71e-03     1s
  49   3.54591409e+09  3.54591407e+09  7.75e-04 3.34e-11  2.75e-04     1s
  50   3.54591407e+09  3.54591407e+09  6.58e-06 4.27e-11  1.32e-07     1s

  51   3.54591407e+09  3.54591407e+09  5.54e-08 5.55e-11  1.86e-11     1s

Barrier solved model in 51 iterations and 0.58 seconds (0.28 work units)
Optimal objective 3.54591407e+09

Crossover log...

      20 DPushes remaining with DInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    1669 PPushes remaining with PInf 0.0000000e+00                 1s
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 4.0433434e-11      1s

Crossover time: 0.10 seconds (0.07 work units)

Solved with barrier
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1692    3.5459141e+09   0.000000e+00   0.000000e+00      1s

Solved in 1692 iterations and 0.69 seconds (0.35 work units)
Optimal objective  3.545914074e+09

Read LP format model from file /tmp/linopy-problem-jmyaq_a0.lp
Reading time = 0.15 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0xd7438d28
Model has 6 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [9e+01, 1e+05]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.10s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.02s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -4.11841013e+09 -6.08032425e+11  7.39e+08 1.59e+03  2.98e+09     0s
   1  -1.32570581e+11 -5.77036841e+11  1.47e+08 3.21e+03  1.70e+09     0s
   2  -1.19992932e+11 -2.32400564e+11  7.03e+07 8.92e+01  3.14e+08     0s
   3  -8.09996541e+09 -1.03067079e+11  3.74e+06 5.05e+00  2.14e+07     0s
   4  -2.32220905e+09 -3.71316008e+10  4.85e+05 1.07e-01  3.42e+06     0s
   5  -1.70655766e+09 -1.59598185e+10  1.43e+05 1.33e-02  1.08e+06     0s

   6  -1.76934237e+09 -8.34361249e+09  7.74e+04 5.49e-12  4.69e+05     0s
   7  -1.94542333e+09 -5.36855851e+09  4.09e+04 3.96e-12  2.34e+05     0s
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
   8  -2.08170481e+09 -4.83077160e+09  2.83e+04 2.79e-12  1.84e+05     1s
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
   9  -2.25071222e+09 -4.46592426e+09  1.83e+04 2.04e-12  1.45e+05     1s
  10  -2.37565322e+09 -3.79030528e+09  1.09e+04 1.91e-12  9.14e+04     1s
Read LP format model from file /tmp/linopy-problem-hklc734d.lp
Reading time = 0.11 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0xc72db811
Model has 6 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [1e+01, 5e+04]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

  11  -2.53644433e+09 -3.40087803e+09  5.29e+03 1.57e-12  5.50e+04     1s
Read LP format model from file /tmp/linopy-problem-_kjhkmd1.lp
Reading time = 0.09 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x966f3a0f
Model has 6 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [1e+02, 2e+05]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

  12  -2.58352592e+09 -3.03597553e+09  3.34e+03 1.96e-12  2.90e+04     1s
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.05s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.07s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

  13  -2.60741287e+09 -2.93403433e+09  2.52e+03 2.18e-12  2.09e+04     1s
Ordering time: 0.02s
Ordering time: 0.01s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
  14  -2.65575686e+09 -2.84257313e+09  1.06e+03 1.58e-12  1.18e+04     1s

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0   1.69365017e+09 -5.50436304e+11  7.39e+08 1.44e+03  2.70e+09     0s

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -7.39914789e+09 -9.42734519e+11  7.39e+08 2.47e+03  4.62e+09     0s
   1   1.37546237e+10 -4.79181776e+11  1.02e+08 2.77e+03  1.28e+09     0s
   1  -2.03425170e+11 -9.02590484e+11  1.44e+08 5.06e+03  2.68e+09     0s
  15  -2.67803169e+09 -2.77999430e+09  3.69e+02 1.20e-12  6.34e+03     1s
   2   1.36884237e+10 -1.75829095e+11  5.40e+07 2.96e+01  2.06e+08     0s
   2  -2.00640666e+11 -2.89343705e+11  7.20e+07 1.32e+02  3.96e+08     0s
   3   3.88077713e+08 -7.87727214e+10  1.22e+06 4.65e-01  8.91e+06     0s
   3  -1.93424767e+10 -1.40461411e+11  5.46e+06 1.20e+01  3.62e+07     0s
   4   1.15899267e+08 -1.95195912e+10  3.94e+05 1.86e-11  1.83e+06     0s
   4  -5.13491808e+09 -5.58402777e+10  5.29e+05 2.33e-01  5.12e+06     0s
  16  -2.68812549e+09 -2.70709741e+09  6.31e+01 1.63e-12  1.18e+03     1s
   5  -4.23532771e+09 -2.63659814e+10  2.27e+05 2.71e-02  1.84e+06     0s
   5  -2.15939743e+08 -1.14756373e+10  1.79e+05 9.42e-12  8.67e+05     0s
   6  -3.93558592e+09 -9.62803042e+09  1.09e+05 9.40e-12  4.56e+05     0s
   6  -4.51024552e+08 -6.45413414e+09  1.25e+05 4.05e-12  4.56e+05     0s
  17  -2.69066208e+09 -2.69331617e+09  1.93e+01 2.95e-12  1.69e+02     1s

   7  -4.00904436e+09 -6.24085621e+09  4.36e+03 5.38e-12  1.37e+05     0s
   7  -8.40342597e+08 -5.42099524e+09  8.73e+04 2.42e-12  3.36e+05     0s
   8  -4.19115550e+09 -5.25503524e+09  2.27e+03 3.45e-12  6.53e+04     0s
  18  -2.69179490e+09 -2.69232419e+09  6.92e-01 2.97e-12  3.23e+01     1s
   8  -1.08017761e+09 -4.58006735e+09  6.87e+04 1.90e-12  2.54e+05     0s
   9  -4.36207987e+09 -4.84794414e+09  9.95e+02 2.51e-12  2.97e+04     0s
   9  -1.13940661e+09 -4.17766131e+09  6.41e+04 1.71e-12  2.22e+05     0s
  10  -4.45005951e+09 -4.64081936e+09  3.14e+02 1.61e-12  1.16e+04     0s
  10  -1.28065882e+09 -3.74717986e+09  3.94e+04 9.16e-13  1.71e+05     0s
  19  -2.69184045e+09 -2.69187327e+09  4.87e-04 2.38e-12  1.98e+00     1s
  11  -4.48974653e+09 -4.53806425e+09  6.47e+01 9.40e-13  2.94e+03     0s
  11  -1.33208703e+09 -2.89564930e+09  1.92e+04 1.69e-12  1.04e+05     0s
  12  -4.49906537e+09 -4.51603477e+09  2.26e+01 6.50e-13  1.03e+03     0s
  13  -4.50257530e+09 -4.50707633e+09  8.36e+00 1.21e-12  2.74e+02     0s
  12  -1.30376098e+09 -2.88054399e+09  1.85e+04 1.83e-12  1.05e+05     0s
  20  -2.69184700e+09 -2.69184716e+09  1.30e-06 2.81e-09  9.86e-03     1s
  14  -4.50430872e+09 -4.50510487e+09  1.65e+00 1.85e-12  4.86e+01     0s
  13  -1.49611955e+09 -2.65325511e+09  1.30e+04 2.31e-12  7.64e+04     0s
  15  -4.50466741e+09 -4.50478800e+09  3.11e-01 1.61e-12  7.37e+00     0s
  14  -1.56502767e+09 -2.52992283e+09  9.35e+03 1.14e-11  6.28e+04     0s
  16  -4.50475267e+09 -4.50475549e+09  2.67e-03 6.59e-11  1.71e-01     0s
  15  -1.65702697e+09 -2.35365014e+09  7.11e+03 6.73e-12  4.55e+04     0s
  21  -2.69184704e+09 -2.69184704e+09  5.96e-08 1.14e-11  9.86e-06     1s
  17  -4.50475416e+09 -4.50475416e+09  4.29e-06 2.35e-10  1.81e-04     0s
  16  -1.67622264e+09 -2.30794000e+09  6.46e+03 9.25e-12  4.13e+04     0s
  18  -4.50475416e+09 -4.50475416e+09  2.66e-06 1.18e-11  9.57e-08     0s
  17  -1.68860702e+09 -2.24978411e+09  5.06e+03 8.42e-12  3.63e+04     0s

  19  -4.50475416e+09 -4.50475416e+09  7.03e-08 4.61e-10  9.57e-11     0s

Barrier solved model in 19 iterations and 0.46 seconds (0.13 work units)
Optimal objective -4.50475416e+09

  22  -2.69184704e+09 -2.69184704e+09  3.12e-08 5.46e-11  9.86e-09     1s

Barrier solved model in 22 iterations and 1.09 seconds (0.14 work units)
Optimal objective -2.69184704e+09

Crossover log...

  18  -1.72059435e+09 -1.95877432e+09  2.40e+03 4.46e-12  1.55e+04     0s
  19  -1.75992039e+09 -1.90021939e+09  5.37e+02 1.08e-11  8.70e+03     1s
Crossover log...

      14 DPushes remaining with DInf 0.0000000e+00                 1s
  20  -1.76433334e+09 -1.83708773e+09  3.94e+02 7.28e-12  4.56e+03     1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

     743 PPushes remaining with PInf 0.0000000e+00                 1s
  21  -1.77046457e+09 -1.80403603e+09  1.95e+02 5.91e-12  2.11e+03     1s
  22  -1.77599802e+09 -1.78469410e+09  1.61e+01 1.84e-11  5.31e+02     1s
  23  -1.77677978e+09 -1.77760722e+09  3.24e+00 3.58e-11  5.12e+01     1s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 3.2656544e-11      1s

       3 DPushes remaining with DInf 0.0000000e+00                 1s
Crossover time: 0.11 seconds (0.02 work units)
  24  -1.77696839e+09 -1.77721862e+09  9.64e-01 2.34e-11  1.55e+01     1s

Solved with barrier
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    1149 PPushes remaining with PInf 0.0000000e+00                 1s
  25  -1.77704749e+09 -1.77705030e+09  2.58e-02 1.44e-10  1.80e-01     1s
Iteration    Objective       Primal Inf.    Dual Inf.      Time
     760   -4.5047542e+09   0.000000e+00   0.000000e+00      1s

Solved in 760 iterations and 0.60 seconds (0.16 work units)
Optimal objective -4.504754157e+09
  26  -1.77704978e+09 -1.77704978e+09  8.10e-07 1.43e-11  1.80e-04     1s
  27  -1.77704978e+09 -1.77704978e+09  8.01e-08 9.46e-11  1.80e-07     1s
  28  -1.77704978e+09 -1.77704978e+09  7.75e-08 9.89e-11  1.80e-10     1s

Barrier solved model in 28 iterations and 0.67 seconds (0.17 work units)
Optimal objective -1.77704978e+09

Crossover log...

      11 DPushes remaining with DInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914

    1673 PPushes remaining with PInf 0.0000000e+00                 1s
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 6.3558048e-11      1s

Crossover time: 0.28 seconds (0.04 work units)

Solved with barrier
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 4.3485215e-11      1s

Crossover time: 0.12 seconds (0.06 work units)

Solved with barrier
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1155   -2.6918470e+09   0.000000e+00   0.000000e+00      1s

Solved in 1155 iterations and 1.42 seconds (0.19 work units)
Optimal objective -2.691847043e+09
Read LP format model from file /tmp/linopy-problem-9_6o25dg.lp
Reading time = 0.09 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0xa2f6bbac
Model has 6 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [1e+02, 1e+05]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1687   -1.7770498e+09   0.000000e+00   0.000000e+00      1s

Solved in 1687 iterations and 0.82 seconds (0.23 work units)
Optimal objective -1.777049783e+09
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.06s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.01s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -6.80314605e+09 -7.42918561e+11  7.39e+08 1.95e+03  3.64e+09     0s
   1  -1.78048692e+11 -7.00906842e+11  1.46e+08 3.88e+03  2.06e+09     0s
   2  -1.68105592e+11 -2.42720020e+11  7.15e+07 9.26e+01  3.17e+08     0s
   3  -1.38569633e+10 -1.06968242e+11  4.45e+06 7.00e+00  2.45e+07     0s
   4  -4.60636565e+09 -4.06415542e+10  5.55e+05 1.78e-01  3.79e+06     0s
   5  -3.76039090e+09 -1.94127099e+10  1.71e+05 2.54e-02  1.23e+06     0s
   6  -3.71321007e+09 -9.50446645e+09  1.08e+05 4.73e-12  4.48e+05     0s
   7  -3.84511647e+09 -7.32666848e+09  3.26e+04 3.43e-12  2.33e+05     0s
   8  -3.94990721e+09 -6.47792622e+09  2.38e+04 2.60e-12  1.67e+05     0s

   9  -4.12562670e+09 -5.86951575e+09  1.36e+04 1.93e-12  1.13e+05     0s
  10  -4.18312383e+09 -5.55654931e+09  9.34e+03 2.47e-12  8.79e+04     0s
  11  -4.31597658e+09 -5.10642176e+09  5.28e+03 2.08e-12  5.03e+04     0s
  12  -4.39606580e+09 -4.81050339e+09  3.18e+03 1.62e-12  2.65e+04     0s
  13  -4.43944300e+09 -4.72826298e+09  1.94e+03 2.16e-12  1.83e+04     0s
  14  -4.48666772e+09 -4.68985894e+09  6.27e+02 1.78e-12  1.26e+04     0s
  15  -4.49948995e+09 -4.56156471e+09  3.54e+02 2.09e-12  3.91e+03     0s
  16  -4.51186898e+09 -4.53878616e+09  9.72e+01 1.14e-12  1.67e+03     0s
  17  -4.51383463e+09 -4.52127169e+09  6.00e+01 2.57e-12  4.75e+02     1s

  18  -4.51596099e+09 -4.51755059e+09  2.02e+01 1.67e-12  1.04e+02     1s
  19  -4.51693596e+09 -4.51726192e+09  1.63e+00 2.40e-12  2.04e+01     1s
  20  -4.51703355e+09 -4.51704353e+09  5.64e-02 1.92e-12  6.25e-01     1s
  21  -4.51703897e+09 -4.51703952e+09  1.65e-03 1.11e-09  3.37e-02     1s
  22  -4.51703929e+09 -4.51703929e+09  1.16e-05 3.06e-10  2.17e-04     1s
  23  -4.51703929e+09 -4.51703929e+09  4.48e-07 9.79e-11  2.17e-07     1s
  24  -4.51703929e+09 -4.51703929e+09  3.49e-08 2.71e-10  4.61e-12     1s

Barrier solved model in 24 iterations and 0.70 seconds (0.15 work units)
Optimal objective -4.51703929e+09

Crossover log...

       3 DPushes remaining with DInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    1250 PPushes remaining with PInf 0.0000000e+00                 1s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 6.2421179e-11      1s

Crossover time: 0.21 seconds (0.05 work units)

Solved with barrier
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1256   -4.5170393e+09   0.000000e+00   0.000000e+00      1s

Solved in 1256 iterations and 0.94 seconds (0.21 work units)
Optimal objective -4.517039286e+09

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Read LP format model from file /tmp/linopy-problem-s9y9i7rt.lp
Reading time = 0.10 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x7431cc76
Model has 6 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [7e+01, 9e+04]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.07s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.02s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -4.39147234e+09 -9.17947439e+11  7.39e+08 2.40e+03  4.50e+09     0s
   1  -1.11483826e+11 -8.26949832e+11  1.20e+08 4.89e+03  2.38e+09     0s
   2  -1.04574496e+11 -2.80672629e+11  6.49e+07 6.92e+01  3.67e+08     0s
   3  -7.25950280e+09 -1.31237198e+11  2.67e+06 2.78e+00  2.15e+07     0s
   4  -3.91996366e+09 -4.08934188e+10  4.76e+05 2.36e-10  3.67e+06     0s
   5  -3.55787557e+09 -2.25194287e+10  1.79e+05 3.82e-11  1.47e+06     0s
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
   6  -3.60944089e+09 -1.08296374e+10  1.16e+05 3.48e-11  5.52e+05     0s
   7  -3.84369230e+09 -8.31286740e+09  6.31e+04 3.75e-11  3.19e+05     0s
   8  -4.09850975e+09 -7.59841334e+09  4.20e+04 3.25e-11  2.41e+05     0s

   9  -4.29011584e+09 -7.01117882e+09  3.09e+04 1.68e-11  1.85e+05     0s
  10  -4.37118108e+09 -6.81195594e+09  2.73e+04 2.07e-11  1.65e+05     0s
  11  -4.31733608e+09 -6.47810166e+09  2.56e+04 7.50e-12  1.46e+05     0s
Read LP format model from file /tmp/linopy-problem-itcfawsg.lp
Reading time = 0.10 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x0cc4af7f
Model has 6 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [2e+01, 6e+04]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

  12  -4.62154486e+09 -6.04944547e+09  1.33e+04 5.96e-12  9.37e+04     0s
  13  -4.77372521e+09 -5.90187778e+09  7.82e+03 7.02e-12  7.24e+04     0s
  14  -4.75329207e+09 -5.87076324e+09  6.17e+03 5.27e-12  7.08e+04     0s
Set parameter WLSAccessID
  15  -4.81266744e+09 -5.41050244e+09  4.55e+03 1.36e-11  3.84e+04     0s
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.06s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
  16  -4.86905824e+09 -5.20096975e+09  2.83e+03 2.71e-11  2.14e+04     0s
Ordering time: 0.01s
  17  -4.89000548e+09 -5.02846035e+09  2.17e+03 4.09e-11  9.40e+03     0s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
  18  -4.92321310e+09 -4.99088994e+09  1.02e+03 1.71e-11  4.57e+03     0s

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0   3.79456345e+08 -8.70811340e+11  7.39e+08 2.28e+03  4.28e+09     0s
  19  -4.92645882e+09 -4.97120078e+09  9.09e+02 9.09e-12  3.13e+03     1s
   1  -3.99213686e+08 -7.92683874e+11  1.10e+08 3.70e+03  2.15e+09     0s
  20  -4.93994879e+09 -4.95978033e+09  4.40e+02 1.00e-11  1.40e+03     1s

   2   5.58019149e+09 -2.75637561e+11  5.97e+07 6.81e+01  3.40e+08     0s
  21  -4.94826644e+09 -4.95443556e+09  1.59e+02 5.16e-11  4.45e+02     1s
   3   3.80048356e+08 -1.25818937e+11  2.01e+06 4.00e+00  1.82e+07     0s
  22  -4.95262867e+09 -4.95323388e+09  1.02e+01 3.37e-11  4.12e+01     1s
  23  -4.95296718e+09 -4.95298583e+09  3.20e-01 1.57e-11  1.27e+00     1s
   4   1.32033784e+08 -4.03739407e+10  4.74e+05 1.55e-01  3.87e+06     0s
  24  -4.95298111e+09 -4.95298119e+09  2.17e-05 1.64e-11  4.49e-03     1s
Read LP format model from file /tmp/linopy-problem-uwhmjrq2.lp
Reading time = 0.14 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
   5  -8.95657326e+07 -1.68091037e+10  1.50e+05 2.08e-02  1.25e+06     0s
Model fingerprint: 0x161f5c8e
Model has 6 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [6e+01, 8e+04]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

  25  -4.95298114e+09 -4.95298114e+09  3.28e-08 5.09e-11  4.92e-08     1s
   6  -3.44232880e+08 -7.49661846e+09  9.96e+04 5.85e-12  5.24e+05     0s
  26  -4.95298114e+09 -4.95298114e+09  3.35e-08 5.34e-11  4.92e-11     1s

Barrier solved model in 26 iterations and 0.62 seconds (0.16 work units)
Optimal objective -4.95298114e+09

   7  -5.71500300e+08 -5.37174978e+09  7.47e+04 3.62e-12  3.46e+05     0s
Crossover log...

   8  -1.01769033e+09 -4.48799994e+09  2.17e+04 1.80e-12  2.25e+05     0s
   9  -1.06726086e+09 -3.99809250e+09  1.83e+04 2.41e-12  1.89e+05     0s
      12 DPushes remaining with DInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s
  10  -1.20617656e+09 -3.53269063e+09  1.42e+04 1.56e-12  1.50e+05     0s

    1536 PPushes remaining with PInf 0.0000000e+00                 1s
  11  -1.34940893e+09 -3.03575271e+09  1.01e+04 1.67e-12  1.08e+05     0s
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.10s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

  12  -1.43861252e+09 -2.89486688e+09  7.98e+03 1.90e-12  9.27e+04     0s
  13  -1.47529256e+09 -2.62558393e+09  6.48e+03 1.20e-12  7.32e+04     0s
Ordering time: 0.02s

  14  -1.52499860e+09 -2.39380091e+09  3.66e+03 1.56e-12  5.46e+04     0s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
  15  -1.58223837e+09 -2.23414617e+09  2.37e+03 1.78e-12  4.07e+04     0s

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
  16  -1.60886963e+09 -2.15017372e+09  1.60e+03 1.06e-12  3.36e+04     0s
   0   5.65147770e+09 -3.44901312e+09  7.58e+08 0.00e+00  1.77e+07     0s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 7.6596507e-11      1s

Crossover time: 0.16 seconds (0.06 work units)
  17  -1.62963913e+09 -1.99790634e+09  1.17e+03 2.17e-12  2.29e+04     0s

Solved with barrier
   1   4.39770420e+09 -2.83046861e+09  9.74e+06 1.30e-02  1.67e+06     0s
  18  -1.65260107e+09 -1.79931809e+09  5.95e+02 1.25e-12  9.19e+03     0s
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1551   -4.9529811e+09   0.000000e+00   0.000000e+00      1s

Solved in 1551 iterations and 0.81 seconds (0.22 work units)
Optimal objective -4.952981136e+09
   2   2.72019253e+09 -5.52867747e+08  4.47e+06 1.59e-01  4.75e+05     0s
  19  -1.67466959e+09 -1.69041917e+09  4.10e+01 2.91e-12  9.72e+02     0s
  20  -1.67763226e+09 -1.67895854e+09  6.41e-01 2.27e-12  8.04e+01     0s
  21  -1.67773271e+09 -1.67789354e+09  3.72e-03 2.81e-12  9.70e+00     0s
   3   1.47241476e+09 -3.95401136e+07  1.79e+06 5.44e-01  1.99e+05     0s
  22  -1.67773919e+09 -1.67773978e+09  8.55e-06 8.53e-10  3.53e-02     1s
   4   1.25783760e+09  1.97383477e+08  1.34e+06 3.23e-01  1.33e+05     0s
  23  -1.67773931e+09 -1.67773931e+09  7.71e-08 1.46e-11  3.53e-05     1s
  24  -1.67773931e+09 -1.67773931e+09  5.08e-08 5.48e-11  2.33e-10     1s

Barrier solved model in 24 iterations and 0.55 seconds (0.16 work units)
Optimal objective -1.67773931e+09

   5   1.09494489e+09  3.18426786e+08  9.87e+05 2.17e-01  9.91e+04     0s
Crossover log...

   6   1.01965137e+09  4.02938699e+08  7.80e+05 1.67e-01  8.08e+04     0s

   7   1.00673193e+09  5.30269464e+08  6.50e+05 1.29e-01  6.81e+04     0s
       5 DPushes remaining with DInf 0.0000000e+00                 1s
   8   9.95005713e+08  6.34717122e+08  5.57e+05 1.14e-01  5.76e+04     0s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    1928 PPushes remaining with PInf 0.0000000e+00                 1s
   9   1.01078167e+09  6.77860091e+08  5.34e+05 1.12e-01  5.56e+04     0s
  10   1.02170784e+09  7.61815997e+08  4.69e+05 9.76e-02  5.03e+04     0s
  11   1.03574370e+09  9.29344841e+08  4.34e+05 8.22e-02  4.38e+04     0s
  12   1.05847383e+09  9.51175759e+08  3.97e+05 8.03e-02  4.17e+04     0s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 6.7387873e-11      1s

  13   1.07050225e+09  1.02092730e+09  3.79e+05 7.38e-02  3.83e+04     0s
Crossover time: 0.14 seconds (0.07 work units)

Solved with barrier
  14   1.08445273e+09  1.21071824e+09  3.58e+05 6.11e-02  3.35e+04     0s
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1936   -1.6777393e+09   0.000000e+00   0.000000e+00      1s

Solved in 1936 iterations and 0.71 seconds (0.23 work units)
Optimal objective -1.677739311e+09
  15   1.13792387e+09  1.32845311e+09  3.12e+05 5.51e-02  2.96e+04     1s
  16   1.16946792e+09  1.34527487e+09  2.93e+05 5.36e-02  2.86e+04     1s
  17   1.21454965e+09  1.38804246e+09  2.65e+05 4.88e-02  2.58e+04     1s
  18   1.28941383e+09  1.45184669e+09  2.21e+05 5.55e-02  2.16e+04     1s

  19   1.31684338e+09  1.46235338e+09  2.04e+05 5.47e-02  2.02e+04     1s
  20   1.33754945e+09  1.47660152e+09  1.91e+05 3.35e-02  1.88e+04     1s
  21   1.39083673e+09  1.51180963e+09  1.59e+05 2.80e-02  1.55e+04     1s
  22   1.46371618e+09  1.54866653e+09  1.18e+05 1.75e-02  1.18e+04     1s
  23   1.48248297e+09  1.55439257e+09  1.07e+05 1.54e-02  1.10e+04     1s
  24   1.49799656e+09  1.56930120e+09  9.83e+04 1.33e-02  9.81e+03     1s
  25   1.52416488e+09  1.58234863e+09  8.30e+04 1.04e-02  8.51e+03     1s
  26   1.55217339e+09  1.58950261e+09  6.63e+04 8.97e-03  7.64e+03     1s
  27   1.55655085e+09  1.60167830e+09  6.45e+04 7.94e-03  7.14e+03     1s
  28   1.56864391e+09  1.62590477e+09  5.92e+04 5.81e-03  6.01e+03     1s
  29   1.57213056e+09  1.63104212e+09  5.74e+04 5.41e-03  5.75e+03     1s
  30   1.57443404e+09  1.63433330e+09  5.63e+04 5.21e-03  5.60e+03     1s

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

  31   1.58212360e+09  1.64031933e+09  5.30e+04 4.84e-03  5.37e+03     1s
  32   1.59146586e+09  1.64641768e+09  4.94e+04 4.53e-03  5.19e+03     1s
  33   1.59715410e+09  1.65764007e+09  4.74e+04 3.98e-03  4.85e+03     1s
  34   1.60408906e+09  1.66674722e+09  4.45e+04 3.49e-03  4.44e+03     1s
  35   1.61294930e+09  1.66976627e+09  4.10e+04 3.35e-03  4.26e+03     1s
  36   1.62269178e+09  1.68162174e+09  3.76e+04 2.74e-03  3.75e+03     1s
  37   1.62884375e+09  1.68212014e+09  3.53e+04 2.61e-03  3.67e+03     1s
  38   1.63029288e+09  1.68435205e+09  3.49e+04 2.53e-03  3.60e+03     1s
  39   1.64073463e+09  1.68806227e+09  3.16e+04 2.37e-03  3.47e+03     1s
  40   1.66129242e+09  1.70315837e+09  2.44e+04 8.01e-04  2.53e+03     1s
  41   1.67191216e+09  1.70653461e+09  2.11e+04 7.11e-04  2.34e+03     1s
  42   1.67267529e+09  1.70897842e+09  2.09e+04 6.60e-04  2.24e+03     1s

  43   1.67966905e+09  1.71298491e+09  1.86e+04 5.36e-04  1.93e+03     1s
  44   1.68450208e+09  1.71518598e+09  1.72e+04 4.86e-04  1.82e+03     1s
  45   1.69352286e+09  1.71927086e+09  1.43e+04 3.76e-04  1.53e+03     1s
  46   1.69418826e+09  1.72190630e+09  1.41e+04 3.22e-04  1.39e+03     1s
  47   1.70143595e+09  1.72398606e+09  1.18e+04 2.63e-04  1.21e+03     1s
  48   1.71848344e+09  1.72607109e+09  6.48e+03 1.17e-12  9.90e+02     1s
  49   1.72463859e+09  1.73071857e+09  4.66e+03 2.50e-12  6.90e+02     1s
  50   1.72777615e+09  1.73338797e+09  3.67e+03 1.14e-11  4.86e+02     1s
  51   1.72892984e+09  1.73375879e+09  3.32e+03 2.96e-12  4.57e+02     1s
  52   1.73223069e+09  1.73522467e+09  2.26e+03 3.41e-12  3.33e+02     1s
  53   1.73498534e+09  1.73607393e+09  1.40e+03 2.05e-12  2.60e+02     1s
  54   1.73616881e+09  1.73738296e+09  1.03e+03 6.14e-12  1.61e+02     1s

  55   1.73842116e+09  1.73843124e+09  2.94e+02 3.50e-12  6.85e+01     1s
  56   1.73889114e+09  1.73906944e+09  1.41e+02 4.77e-12  2.09e+01     1s
  57   1.73930127e+09  1.73926725e+09  2.98e+00 8.41e-12  2.86e+00     1s
  58   1.73930730e+09  1.73930707e+09  4.92e-02 4.87e-11  2.44e-02     1s
  59   1.73930747e+09  1.73930730e+09  5.69e-04 2.81e-10  9.92e-03     1s
  60   1.73930735e+09  1.73930733e+09  5.33e-05 5.30e-10  8.82e-04     1s
  61   1.73930735e+09  1.73930733e+09  1.92e-04 5.11e-10  8.70e-04     1s

Barrier solved model in 61 iterations and 1.32 seconds (0.33 work units)
Optimal objective 1.73930735e+09

Crossover log...

      57 DPushes remaining with DInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    2587 PPushes remaining with PInf 2.0194196e-04                 1s

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

       0 PPushes remaining with PInf 0.0000000e+00                 2s

  Push phase complete: Pinf 0.0000000e+00, Dinf 1.0567958e+03      2s

Iteration    Objective       Primal Inf.    Dual Inf.      Time
    2646    1.7393155e+09   0.000000e+00   1.056796e+03      2s
Crossover time: 0.49 seconds (0.18 work units)

Solved with barrier
    2651    1.7393073e+09   0.000000e+00   0.000000e+00      2s

Solved in 2651 iterations and 1.85 seconds (0.52 work units)
Optimal objective  1.739307334e+09

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(
/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Read LP format model from file /tmp/linopy-problem-xihwf11o.lp
Reading time = 0.10 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x0663961f
Model has 6 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [3e+01, 5e+04]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.06s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.02s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0   2.95452216e+09 -4.71260572e+11  7.39e+08 1.20e+03  2.32e+09     0s
   1   3.93220700e+10 -4.08787658e+11  9.59e+07 2.34e+03  1.07e+09     0s
   2   3.47034102e+10 -1.53251693e+11  5.09e+07 2.23e+01  1.73e+08     0s
   3   1.43768627e+09 -6.67659705e+10  9.69e+05 1.83e-01  7.00e+06     0s
   4   9.66012278e+08 -1.79473786e+10  3.74e+05 9.36e-12  1.70e+06     0s
   5   5.59503078e+08 -7.93434937e+09  1.85e+05 4.71e-12  6.59e+05     0s

   6   1.06179796e+08 -5.42553667e+09  1.12e+05 3.16e-12  4.06e+05     0s
   7  -1.93598089e+08 -4.67828355e+09  8.38e+04 2.62e-12  3.21e+05     0s
   8  -3.06649525e+08 -4.38306919e+09  7.41e+04 2.80e-12  2.89e+05     0s
   9  -4.92216547e+08 -3.65864044e+09  5.99e+04 1.55e-12  2.24e+05     0s
  10  -5.06426824e+08 -2.97222685e+09  5.76e+04 1.29e-12  1.78e+05     0s
  11  -6.40069823e+08 -2.66152480e+09  4.30e+04 3.14e-13  1.44e+05     0s
  12  -6.97936151e+08 -2.48481847e+09  3.70e+04 1.76e-12  1.26e+05     0s
  13  -8.16030495e+08 -2.09453277e+09  2.78e+04 1.23e-12  9.05e+04     0s

  14  -8.62636303e+08 -1.86705146e+09  2.25e+04 1.55e-12  7.11e+04     1s
  15  -9.18500966e+08 -1.72038558e+09  8.18e+03 1.03e-12  5.21e+04     1s
  16  -9.36854801e+08 -1.58922284e+09  7.03e+03 1.18e-12  4.25e+04     1s
  17  -9.90893001e+08 -1.18678525e+09  3.73e+03 9.11e-13  1.34e+04     1s
  18  -1.02135952e+09 -1.08618812e+09  1.74e+03 1.46e-12  4.65e+03     1s
  19  -1.03404541e+09 -1.06094156e+09  8.91e+02 1.02e-12  1.99e+03     1s
  20  -1.03852790e+09 -1.05668529e+09  6.15e+02 7.76e-13  1.35e+03     1s
  21  -1.04148485e+09 -1.05085783e+09  4.49e+02 1.08e-12  7.45e+02     1s

  22  -1.04676853e+09 -1.04863119e+09  7.64e+01 1.90e-12  1.41e+02     1s
  23  -1.04799752e+09 -1.04838800e+09  1.67e+01 1.46e-11  2.99e+01     1s
  24  -1.04828398e+09 -1.04835854e+09  2.85e+00 1.46e-11  5.59e+00     1s
  25  -1.04834276e+09 -1.04834750e+09  1.85e-01 7.40e-12  3.57e-01     1s
  26  -1.04834693e+09 -1.04834693e+09  7.77e-05 2.18e-11  3.58e-04     1s
  27  -1.04834693e+09 -1.04834693e+09  2.85e-05 1.73e-10  6.90e-06     1s
  28  -1.04834693e+09 -1.04834693e+09  3.08e-07 1.40e-10  6.90e-09     1s

Barrier solved model in 28 iterations and 0.88 seconds (0.17 work units)
Optimal objective -1.04834693e+09

Crossover log...

       8 DPushes remaining with DInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    1757 PPushes remaining with PInf 0.0000000e+00                 1s

       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 4.0415671e-11      1s

Crossover time: 0.14 seconds (0.06 work units)

Solved with barrier
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1768   -1.0483469e+09   0.000000e+00   0.000000e+00      1s

Solved in 1768 iterations and 1.05 seconds (0.23 work units)
Optimal objective -1.048346933e+09

Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Read LP format model from file /tmp/linopy-problem-l6lm_cb_.lp
Reading time = 0.12 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x56b71526
Model has 6 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [8e+01, 1e+05]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.07s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.02s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0   2.02966837e+09 -8.74485733e+11  7.39e+08 2.29e+03  4.30e+09     0s
   1   6.03943496e+10 -7.61662990e+11  9.48e+07 4.19e+03  2.01e+09     0s
   2   6.40352038e+10 -3.09434742e+11  5.10e+07 4.91e+01  3.49e+08     0s
   3   1.39804120e+09 -1.40526628e+11  1.05e+06 4.75e-01  1.49e+07     0s
   4   2.95532568e+08 -4.25427875e+10  4.63e+05 1.94e-11  4.05e+06     0s
   5  -3.68370689e+08 -2.04698323e+10  2.07e+05 7.66e-12  1.55e+06     0s

   6  -8.59284000e+08 -1.09400269e+10  1.06e+05 6.70e-12  7.05e+05     0s
   7  -1.31095812e+09 -9.15847680e+09  6.61e+04 4.36e-12  5.25e+05     0s
   8  -1.55067227e+09 -7.92483858e+09  5.53e+04 3.05e-12  4.23e+05     0s
   9  -1.90601986e+09 -7.68752941e+09  4.60e+04 3.97e-12  3.80e+05     0s
  10  -2.08586000e+09 -7.16888098e+09  4.11e+04 3.00e-12  3.33e+05     0s
  11  -1.89526887e+09 -6.68790714e+09  3.81e+04 2.25e-12  3.12e+05     0s
  12  -2.29874505e+09 -5.72713414e+09  2.95e+04 2.80e-12  2.24e+05     0s
  13  -2.60190769e+09 -4.51354944e+09  1.63e+04 8.00e-13  1.24e+05     0s
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
  14  -2.81153181e+09 -3.87801997e+09  9.26e+03 1.18e-12  6.94e+04     1s

  15  -2.84924982e+09 -3.76049358e+09  7.35e+03 1.24e-12  5.90e+04     1s
  16  -2.90751412e+09 -3.56377554e+09  5.47e+03 1.10e-12  4.26e+04     1s
  17  -2.95112044e+09 -3.49123362e+09  4.41e+03 1.76e-12  3.50e+04     1s
Read LP format model from file /tmp/linopy-problem-l3kv47wv.lp
Reading time = 0.09 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x2edd1a02
Model has 6 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [8e+01, 1e+05]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

  18  -2.98086999e+09 -3.35919592e+09  3.60e+03 1.96e-12  2.49e+04     1s
  19  -2.98687950e+09 -3.33124117e+09  3.40e+03 2.65e-12  2.27e+04     1s
  20  -2.98667491e+09 -3.30821297e+09  3.12e+03 1.56e-12  2.12e+04     1s
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.07s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

  21  -3.00648999e+09 -3.29427531e+09  2.41e+03 2.54e-12  1.87e+04     1s
Ordering time: 0.01s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
  22  -3.03157606e+09 -3.22850661e+09  1.65e+03 2.09e-12  1.28e+04     1s

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0   6.90963565e+09 -3.55222039e+09  7.58e+08 0.00e+00  1.83e+07     0s
   1   4.09266038e+09 -2.79047155e+09  9.12e+06 1.07e-02  1.33e+06     0s

  23  -3.04079525e+09 -3.21009324e+09  1.36e+03 2.43e-12  1.10e+04     1s
   2   2.62387906e+09  8.17737228e+07  5.06e+06 6.41e-02  2.64e+05     0s
Read LP format model from file /tmp/linopy-problem-rnam60i2.lp
Reading time = 0.05 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x8bd140ee
Model has 6 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [6e+00, 9e+04]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

   3   1.69921499e+09  8.83418805e+08  2.61e+06 1.08e-02  1.40e+05     0s
  24  -3.05175314e+09 -3.19995358e+09  1.04e+03 1.80e-12  9.53e+03     1s
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.03s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

   4   1.59830135e+09  1.20257830e+09  2.10e+06 1.36e-03  1.12e+05     0s
  25  -3.05319679e+09 -3.18577339e+09  9.62e+02 1.87e-12  8.55e+03     1s
Ordering time: 0.02s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
   5   1.53498574e+09  1.35748915e+09  1.61e+06 4.32e-12  8.48e+04     0s
  26  -3.06384077e+09 -3.16996266e+09  6.49e+02 2.29e-12  6.77e+03     1s

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0   3.86657403e+08 -5.83796787e+11  7.39e+08 1.53e+03  2.87e+09     0s
   6   1.55092800e+09  1.45700697e+09  1.34e+06 2.61e-12  7.18e+04     0s
  27  -3.07195468e+09 -3.13901307e+09  3.54e+02 3.02e-12  4.25e+03     1s
   1  -1.44803752e+10 -5.39119189e+11  1.14e+08 2.71e+03  1.46e+09     0s
   7   1.57012794e+09  1.62242370e+09  1.23e+06 2.16e-12  6.38e+04     0s
  28  -3.07323868e+09 -3.11732652e+09  2.62e+02 2.00e-12  2.81e+03     1s
   2  -8.22958371e+09 -1.85047452e+11  6.19e+07 4.84e+01  2.32e+08     0s
  29  -3.07672526e+09 -3.11622179e+09  1.76e+02 1.97e-12  2.48e+03     1s
   8   1.60272739e+09  1.71790057e+09  1.12e+06 3.30e-12  5.78e+04     0s
   3   2.90893543e+08 -8.39080843e+10  2.20e+06 3.12e+00  1.28e+07     0s
   9   1.63782771e+09  1.74958768e+09  1.04e+06 3.98e-12  5.45e+04     0s
  30  -3.07733894e+09 -3.11568624e+09  1.58e+02 2.43e-12  2.40e+03     1s

  10   1.66681465e+09  1.79378029e+09  9.78e+05 2.05e-12  5.18e+04     0s
  31  -3.07779760e+09 -3.11438638e+09  1.44e+02 2.77e-12  2.29e+03     1s
   4   4.88422283e+08 -2.80584251e+10  4.84e+05 1.34e-01  2.75e+06     0s
  32  -3.07920485e+09 -3.10902279e+09  9.39e+01 2.17e-12  1.85e+03     1s
  11   1.76707023e+09  1.95039649e+09  8.45e+05 1.59e-12  4.60e+04     0s
   5   3.53159855e+08 -1.08282266e+10  1.59e+05 1.75e-02  8.56e+05     0s
  12   1.87354806e+09  2.12212997e+09  7.32e+05 2.99e-14  4.01e+04     0s
  33  -3.07977791e+09 -3.09731206e+09  7.21e+01 1.47e-12  1.10e+03     1s
   6   2.05488529e+08 -6.08990062e+09  1.13e+05 5.04e-12  4.73e+05     0s
  34  -3.08047001e+09 -3.09710737e+09  5.24e+01 2.02e-12  1.03e+03     1s
  13   2.00840388e+09  2.22816100e+09  6.05e+05 1.25e-12  3.60e+04     0s
   7   3.31808752e+07 -3.90241021e+09  8.10e+04 3.38e-12  2.92e+05     0s
  35  -3.08095005e+09 -3.09597083e+09  4.00e+01 2.26e-12  9.28e+02     1s
  14   2.15872227e+09  2.41323836e+09  4.56e+05 1.25e-12  2.71e+04     0s
   8  -2.70469884e+08 -2.87088761e+09  3.06e+04 2.22e-12  1.76e+05     0s
  36  -3.08192185e+09 -3.09318384e+09  3.62e+00 1.90e-12  6.80e+02     1s
   9  -4.41518295e+08 -2.52421159e+09  2.14e+04 3.24e-12  1.38e+05     0s
  15   2.22099766e+09  2.44504061e+09  4.18e+05 3.64e-12  2.62e+04     0s
  37  -3.08213807e+09 -3.09000463e+09  1.69e+00 2.71e-12  4.75e+02     1s
  10  -5.54065127e+08 -2.24649810e+09  1.57e+04 2.07e-12  1.11e+05     0s
  16   2.29366419e+09  2.50886576e+09  3.68e+05 4.55e-12  2.35e+04     1s
  38  -3.08222874e+09 -3.08963088e+09  1.32e+00 3.20e-12  4.47e+02     1s
  17   2.36588372e+09  2.56171381e+09  3.16e+05 1.36e-12  2.07e+04     1s
  11  -6.18045580e+08 -1.81203977e+09  1.22e+04 1.52e-12  7.87e+04     0s
  39  -3.08232497e+09 -3.08403953e+09  9.48e-01 2.49e-12  1.04e+02     1s

  12  -6.25433846e+08 -1.69529397e+09  1.17e+04 2.04e-12  7.09e+04     0s
  40  -3.08243112e+09 -3.08250930e+09  1.50e-01 2.43e-12  4.80e+00     1s
  18   2.45504358e+09  2.66907342e+09  2.54e+05 1.25e-12  1.59e+04     1s
  41  -3.08246189e+09 -3.08246558e+09  1.08e-03 1.21e-09  2.23e-01     1s
  13  -7.05180987e+08 -1.49694578e+09  7.14e+03 2.15e-12  5.16e+04     0s
  19   2.48678154e+09  2.67237286e+09  2.35e+05 3.18e-12  1.54e+04     1s
  42  -3.08246256e+09 -3.08246256e+09  5.31e-07 6.75e-11  1.50e-05     1s
  14  -7.41702256e+08 -1.27768564e+09  4.77e+03 2.50e-12  3.48e+04     0s
  20   2.54740215e+09  2.70776989e+09  2.01e+05 4.09e-12  1.37e+04     1s
  43  -3.08246256e+09 -3.08246256e+09  1.72e-08 1.26e-10  1.50e-08     1s
  21   2.61340046e+09  2.75937956e+09  1.65e+05 2.73e-12  1.10e+04     1s
  44  -3.08246256e+09 -3.08246256e+09  6.98e-10 1.20e-10  3.88e-12     1s

Barrier solved model in 44 iterations and 1.27 seconds (0.25 work units)
Optimal objective -3.08246256e+09

  15  -7.76720474e+08 -1.24495441e+09  2.99e+03 1.63e-12  2.99e+04     1s
Crossover log...

  16  -7.86837049e+08 -1.11946852e+09  2.50e+03 2.12e-12  2.14e+04     1s
  22   2.63224046e+09  2.78690542e+09  1.52e+05 5.46e-12  9.82e+03     1s
  17  -8.11986146e+08 -1.04754430e+09  1.18e+03 2.86e-12  1.48e+04     1s
  23   2.67952374e+09  2.80926833e+09  1.25e+05 1.36e-12  8.42e+03     1s
      10 DPushes remaining with DInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    1959 PPushes remaining with PInf 0.0000000e+00                 1s
  24   2.68867521e+09  2.81117206e+09  1.21e+05 1.28e-13  8.20e+03     1s
  18  -8.27517660e+08 -9.59833530e+08  3.58e+02 1.85e-12  8.20e+03     1s
  25   2.69820573e+09  2.81569146e+09  1.16e+05 6.82e-13  7.94e+03     1s

  26   2.74524667e+09  2.83744718e+09  9.05e+04 1.14e-13  6.40e+03     1s
  19  -8.33140422e+08 -8.76250215e+08  1.08e+02 1.45e-12  2.67e+03     1s
  27   2.76298938e+09  2.86975313e+09  8.14e+04 2.96e-12  4.57e+03     1s
  28   2.79015857e+09  2.87993497e+09  6.72e+04 3.41e-12  3.77e+03     1s
  20  -8.34945790e+08 -8.62731863e+08  3.04e+01 9.39e-13  1.70e+03     1s
  29   2.80586890e+09  2.88637150e+09  5.93e+04 4.09e-12  3.31e+03     1s
  30   2.80735947e+09  2.89148769e+09  5.85e+04 6.82e-12  3.20e+03     1s
  21  -8.35647083e+08 -8.40352486e+08  1.43e+01 1.38e-12  2.91e+02     1s
       0 PPushes remaining with PInf 0.0000000e+00                 1s
  31   2.82782480e+09  2.89204338e+09  4.88e+04 9.55e-12  2.89e+03     1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 6.0254024e-11      1s

Crossover time: 0.21 seconds (0.06 work units)

Solved with barrier
  32   2.82974775e+09  2.89575441e+09  4.79e+04 8.19e-12  2.75e+03     1s
  22  -8.36291965e+08 -8.36443357e+08  1.08e+00 1.36e-12  9.65e+00     1s
  33   2.83062085e+09  2.89637446e+09  4.74e+04 2.73e-12  2.72e+03     1s
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1972   -3.0824626e+09   0.000000e+00   0.000000e+00      2s

Solved in 1972 iterations and 1.52 seconds (0.31 work units)
Optimal objective -3.082462563e+09
  34   2.83383417e+09  2.89786812e+09  4.58e+04 4.55e-12  2.63e+03     1s
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
  23  -8.36344587e+08 -8.36348282e+08  4.41e-04 1.90e-12  2.24e-01     1s
  35   2.83947006e+09  2.89953705e+09  4.31e+04 6.37e-12  2.50e+03     1s
  36   2.85327103e+09  2.90865118e+09  3.66e+04 2.73e-12  1.94e+03     1s
  24  -8.36344937e+08 -8.36345186e+08  2.64e-05 3.94e-09  1.51e-02     1s
  37   2.86821739e+09  2.91143594e+09  3.04e+04 2.61e-12  1.86e+03     1s
Read LP format model from file /tmp/linopy-problem-3l9is0xa.lp
Reading time = 0.04 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x40789df8
Model has 6 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [1e+02, 1e+05]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

  38   2.87367959e+09  2.91395938e+09  2.78e+04 1.36e-12  1.67e+03     1s
  25  -8.36345003e+08 -8.36345003e+08  9.31e-10 4.29e-11  2.88e-07     1s
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.03s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

  39   2.88113739e+09  2.92432006e+09  2.43e+04 1.82e-12  1.08e+03     1s
Ordering time: 0.01s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
  26  -8.36345003e+08 -8.36345003e+08  3.49e-09 4.92e-11  2.88e-10     1s
  40   2.88352946e+09  2.92880076e+09  2.32e+04 3.64e-12  8.58e+02     1s

Barrier solved model in 26 iterations and 0.88 seconds (0.16 work units)
Optimal objective -8.36345003e+08

Crossover log...


                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -7.49171376e+09 -8.10769076e+11  7.39e+08 2.13e+03  3.98e+09     0s
  41   2.89932758e+09  2.92975297e+09  1.61e+04 5.46e-12  6.66e+02     1s
   1  -1.91947780e+11 -7.81055932e+11  1.41e+08 4.43e+03  2.34e+09     0s
  42   2.91034575e+09  2.93212735e+09  1.16e+04 1.18e-11  5.14e+02     1s
   2  -1.83102831e+11 -2.63399807e+11  7.30e+07 1.04e+02  3.65e+08     0s
       4 DPushes remaining with DInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    1654 PPushes remaining with PInf 0.0000000e+00                 1s
   3  -1.49204683e+10 -1.14454492e+11  4.23e+06 7.93e+00  2.64e+07     0s
  43   2.91721323e+09  2.93356040e+09  8.60e+03 5.91e-12  3.82e+02     1s

  44   2.91923297e+09  2.93435934e+09  7.73e+03 5.00e-12  3.22e+02     1s
   4  -5.78835495e+09 -4.61798580e+10  6.08e+05 9.70e-02  4.43e+06     0s
  45   2.92941794e+09  2.93588560e+09  3.40e+03 5.46e-12  1.54e+02     1s
   5  -4.88412937e+09 -2.31249709e+10  2.44e+05 3.43e-04  1.57e+06     0s
  46   2.93443428e+09  2.93688946e+09  1.23e+03 4.55e-12  4.92e+01     1s

   6  -4.63834313e+09 -9.33516148e+09  1.24e+05 8.98e-12  3.97e+05     0s
  47   2.93721417e+09  2.93724762e+09  2.34e+01 6.14e-12  1.74e+00     1s
   7  -4.69108487e+09 -6.96800837e+09  2.55e+04 4.72e-12  1.53e+05     0s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 5.6388672e-11      1s

  48   2.93726473e+09  2.93726472e+09  5.01e-05 4.09e-12  4.67e-04     1s
   8  -4.85226170e+09 -6.57059470e+09  1.41e+04 3.83e-12  1.11e+05     0s
Crossover time: 0.21 seconds (0.06 work units)

Solved with barrier
  49   2.93726473e+09  2.93726473e+09  1.54e-08 3.64e-12  4.67e-07     1s
   9  -4.99546959e+09 -5.82623674e+09  6.05e+03 3.38e-12  5.27e+04     0s
  50   2.93726473e+09  2.93726473e+09  2.54e-08 2.09e-11  4.67e-10     1s

Barrier solved model in 50 iterations and 1.29 seconds (0.28 work units)
Optimal objective 2.93726473e+09

Crossover log...

Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1661   -8.3634500e+08   0.000000e+00   0.000000e+00      1s

Solved in 1661 iterations and 1.14 seconds (0.23 work units)
Optimal objective -8.363450030e+08
  10  -5.09183704e+09 -5.49368863e+09  3.01e+03 2.53e-12  2.54e+04     0s
      15 DPushes remaining with DInf 0.0000000e+00                 1s
  11  -5.13130679e+09 -5.35313622e+09  2.05e+03 2.15e-12  1.41e+04     0s

       0 DPushes remaining with DInf 0.0000000e+00                 1s

    1558 PPushes remaining with PInf 0.0000000e+00                 1s
  12  -5.13288734e+09 -5.33495709e+09  1.99e+03 1.64e-12  1.29e+04     0s
  13  -5.15962740e+09 -5.31308030e+09  1.41e+03 1.20e-12  9.74e+03     0s

  14  -5.17073717e+09 -5.27852150e+09  1.15e+03 1.13e-12  6.89e+03     0s
  15  -5.17315058e+09 -5.26302914e+09  1.08e+03 1.61e-12  5.79e+03     0s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 3.1242564e-11      1s

  16  -5.20513476e+09 -5.23912520e+09  3.35e+02 1.36e-12  2.16e+03     0s
Crossover time: 0.19 seconds (0.06 work units)

Solved with barrier
  17  -5.21461966e+09 -5.22866915e+09  1.10e+02 1.41e-12  8.83e+02     1s
  18  -5.21890012e+09 -5.22096831e+09  1.70e+01 1.75e-12  1.30e+02     1s
  19  -5.21969521e+09 -5.21986321e+09  1.63e+00 1.75e-12  1.07e+01     1s
  20  -5.21979918e+09 -5.21981069e+09  1.70e-02 9.01e-13  6.99e-01     1s
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1576    2.9372647e+09   0.000000e+00   0.000000e+00      2s

Solved in 1576 iterations and 1.52 seconds (0.34 work units)
Optimal objective  2.937264728e+09
  21  -5.21980142e+09 -5.21980344e+09  5.24e-04 2.29e-09  1.22e-01     1s
  22  -5.21980156e+09 -5.21980157e+09  1.28e-07 1.82e-12  1.22e-04     1s

  23  -5.21980156e+09 -5.21980156e+09  4.72e-05 8.23e-11  4.99e-07     1s
  24  -5.21980156e+09 -5.21980156e+09  3.10e-07 6.81e-10  4.99e-10     1s

Barrier solved model in 24 iterations and 0.58 seconds (0.16 work units)
Optimal objective -5.21980156e+09

Crossover log...

      20 DPushes remaining with DInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    1072 PPushes remaining with PInf 0.0000000e+00                 1s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 4.6100013e-11      1s

Crossover time: 0.06 seconds (0.04 work units)

Solved with barrier
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1095   -5.2198016e+09   0.000000e+00   0.000000e+00      1s

Solved in 1095 iterations and 0.66 seconds (0.20 work units)
Optimal objective -5.219801564e+09

Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Read LP format model from file /tmp/linopy-problem-02s2kuz0.lp
Reading time = 0.12 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x76e03661
Model has 6 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [1e+02, 1e+05]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.06s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.01s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0   6.97445239e+09 -3.04044017e+11  7.39e+08 4.63e+02  1.50e+09     0s
   1   1.29032746e+11 -2.77457882e+11  1.01e+08 8.53e+02  7.24e+08     0s
   2   1.23677285e+11 -8.87417322e+10  5.26e+07 1.91e+01  1.07e+08     0s
   3   7.12080132e+09 -3.97734668e+10  1.55e+06 8.94e-01  5.50e+06     0s
   4   4.17715694e+09 -8.31362466e+09  3.46e+05 1.11e-02  1.04e+06     0s
   5   3.45022310e+09 -2.79335379e+09  1.83e+05 3.31e-12  4.60e+05     0s
   6   3.10329268e+09 -1.20155536e+09  1.41e+05 2.08e-12  3.12e+05     0s
   7   3.12670036e+09 -9.32150625e+08  1.24e+05 2.27e-12  2.90e+05     0s
   8   2.98574603e+09  3.05422968e+08  8.98e+04 1.25e-12  1.92e+05     0s
   9   2.89895717e+09  5.21971823e+08  7.87e+04 1.69e-12  1.70e+05     0s

  10   2.78919006e+09  1.02454013e+09  6.52e+04 1.06e-12  1.27e+05     0s
  11   2.66518039e+09  1.40203446e+09  4.87e+04 7.50e-13  9.17e+04     0s
  12   2.59286367e+09  1.77877036e+09  2.94e+04 4.35e-13  5.82e+04     0s
  13   2.56658643e+09  2.05779685e+09  1.96e+04 3.63e-13  3.66e+04     0s
  14   2.50710852e+09  2.19808910e+09  9.77e+03 7.02e-13  2.16e+04     0s
  15   2.48805107e+09  2.28522728e+09  6.60e+03 6.19e-13  1.42e+04     0s
  16   2.47830018e+09  2.34815794e+09  5.07e+03 5.33e-13  9.30e+03     0s
  17   2.46783017e+09  2.37800203e+09  3.43e+03 6.14e-13  6.40e+03     0s
  18   2.45801574e+09  2.41066236e+09  1.69e+03 2.47e-13  3.34e+03     0s
  19   2.45687419e+09  2.42279691e+09  1.51e+03 4.74e-13  2.49e+03     0s
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
  20   2.45045511e+09  2.43575825e+09  2.81e+02 6.18e-13  9.67e+02     0s
  21   2.44889206e+09  2.44474700e+09  9.83e+00 5.33e-13  2.53e+02     0s

  22   2.44876430e+09  2.44872277e+09  1.90e+00 6.77e-13  3.05e+00     1s
  23   2.44875054e+09  2.44874256e+09  3.49e-05 5.85e-13  4.81e-01     1s
  24   2.44874931e+09  2.44874833e+09  6.54e-07 6.82e-09  5.94e-02     1s
Read LP format model from file /tmp/linopy-problem-42j33xbj.lp
Reading time = 0.09 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x75d21b51
Model has 6 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [4e+00, 8e+04]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

  25   2.44874931e+09  2.44874931e+09  7.92e-07 7.28e-12  3.32e-05     1s
  26   2.44874931e+09  2.44874931e+09  1.16e-08 7.78e-11  3.32e-08     1s
  27   2.44874931e+09  2.44874931e+09  6.98e-09 7.73e-11  3.32e-11     1s

Barrier solved model in 27 iterations and 0.61 seconds (0.17 work units)
Optimal objective 2.44874931e+09

Crossover log...

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.07s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

      79 DPushes remaining with DInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    2060 PPushes remaining with PInf 0.0000000e+00                 1s
Ordering time: 0.02s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -2.98559789e+09 -8.98932335e+11  7.39e+08 2.35e+03  4.41e+09     0s

   1  -4.30268318e+10 -7.64661025e+11  1.05e+08 4.47e+03  2.07e+09     0s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 6.2769345e-11      1s

Crossover time: 0.16 seconds (0.07 work units)
   2  -2.12212912e+10 -2.31975881e+11  5.40e+07 4.57e+01  2.54e+08     0s

Solved with barrier
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    2142    2.4487493e+09   0.000000e+00   0.000000e+00      1s

Solved in 2142 iterations and 0.80 seconds (0.24 work units)
Optimal objective  2.448749308e+09
   3  -3.11795895e+09 -1.04721579e+11  1.76e+06 1.55e+00  1.36e+07     0s
   4  -2.98679571e+09 -3.25456123e+10  3.91e+05 1.42e-11  2.70e+06     0s
   5  -3.11609984e+09 -1.65358216e+10  1.51e+05 7.72e-12  9.94e+05     0s
   6  -3.23397491e+09 -9.26653563e+09  8.77e+04 4.74e-12  4.22e+05     0s

   7  -3.34410903e+09 -8.09349656e+09  6.43e+04 3.40e-12  3.23e+05     0s
   8  -3.48295136e+09 -7.42836902e+09  4.79e+04 2.58e-12  2.63e+05     0s

   9  -3.68885054e+09 -7.02357338e+09  3.43e+04 2.38e-12  2.18e+05     0s
  10  -3.74878351e+09 -6.95090774e+09  3.17e+04 2.65e-12  2.08e+05     0s
  11  -3.89087018e+09 -6.74809180e+09  2.79e+04 2.65e-12  1.85e+05     0s
  12  -3.91943137e+09 -6.07139502e+09  2.34e+04 2.66e-12  1.40e+05     0s
  13  -4.05813317e+09 -5.66998459e+09  1.61e+04 1.80e-12  1.04e+05     0s
  14  -4.26266979e+09 -5.41388827e+09  7.81e+03 2.15e-12  7.25e+04     0s
  15  -4.33036518e+09 -4.90436105e+09  5.34e+03 1.34e-12  3.67e+04     0s
  16  -4.36902422e+09 -4.81554409e+09  3.95e+03 6.44e-13  2.85e+04     1s
  17  -4.41544156e+09 -4.63711302e+09  2.00e+03 1.00e-12  1.41e+04     1s

  18  -4.44647353e+09 -4.53398369e+09  6.91e+02 1.08e-12  5.55e+03     1s

  19  -4.46025889e+09 -4.48165411e+09  2.27e+02 7.97e-13  1.38e+03     1s
  20  -4.46435590e+09 -4.47358868e+09  1.09e+02 1.25e-12  6.00e+02     1s
  21  -4.46617828e+09 -4.46963704e+09  5.98e+01 1.22e-12  2.32e+02     1s
  22  -4.46809933e+09 -4.46880012e+09  6.51e+00 1.67e-12  4.48e+01     1s
  23  -4.46834611e+09 -4.46838943e+09  1.85e-01 1.07e-12  2.68e+00     1s
  24  -4.46835582e+09 -4.46835665e+09  5.21e-04 1.46e-11  5.01e-02     1s
  25  -4.46835589e+09 -4.46835589e+09  2.63e-07 6.32e-11  7.73e-08     1s
  26  -4.46835589e+09 -4.46835589e+09  3.03e-08 9.88e-11  7.73e-11     1s

Barrier solved model in 26 iterations and 0.76 seconds (0.16 work units)
Optimal objective -4.46835589e+09

Crossover log...

     428 DPushes remaining with DInf 0.0000000e+00                 1s
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de

       0 DPushes remaining with DInf 0.0000000e+00                 1s

    2072 PPushes remaining with PInf 0.0000000e+00                 1s
Read LP format model from file /tmp/linopy-problem-d9rce523.lp
Reading time = 0.09 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x6b173e6c
Model has 6 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [1e+02, 2e+05]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.03s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 1.2055068e-10      1s

Ordering time: 0.01s
Crossover time: 0.18 seconds (0.07 work units)

Solved with barrier

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -7.82604132e+09 -9.88461261e+11  7.39e+08 2.59e+03  4.85e+09     0s

Iteration    Objective       Primal Inf.    Dual Inf.      Time
    2503   -4.4683559e+09   0.000000e+00   0.000000e+00      1s

Solved in 2503 iterations and 0.97 seconds (0.23 work units)
Optimal objective -4.468355885e+09
   1  -2.12614966e+11 -9.44365229e+11  1.45e+08 5.28e+03  2.80e+09     0s
   2  -2.09888754e+11 -3.03583481e+11  7.18e+07 1.37e+02  4.13e+08     0s

   3  -2.06100179e+10 -1.43643267e+11  5.60e+06 1.22e+01  3.83e+07     0s
   4  -5.28539361e+09 -5.91808303e+10  5.28e+05 2.70e-01  5.43e+06     0s
   5  -4.32652193e+09 -2.80201278e+10  2.22e+05 4.14e-02  1.95e+06     0s
   6  -4.01639711e+09 -1.12234861e+10  1.02e+05 7.70e-12  5.51e+05     0s
   7  -4.02834519e+09 -6.13936776e+09  1.81e-06 3.96e-12  1.27e+05     0s

   8  -4.25761182e+09 -5.43290842e+09  1.87e-06 3.67e-12  7.09e+04     0s
   9  -4.27939213e+09 -5.25322092e+09  1.67e-06 3.41e-12  5.88e+04     0s

  10  -4.29628156e+09 -4.91522313e+09  1.61e-06 1.70e-12  3.73e+04     0s
  11  -4.51110561e+09 -4.65786361e+09  1.24e-06 3.06e-12  8.85e+03     0s

  12  -4.54423776e+09 -4.60586103e+09  9.39e-07 1.13e-12  3.72e+03     0s
  13  -4.55008382e+09 -4.58970191e+09  9.99e-07 1.02e-12  2.39e+03     0s
  14  -4.55736388e+09 -4.57371993e+09  1.76e-06 1.28e-12  9.86e+02     0s
  15  -4.56078883e+09 -4.56757607e+09  2.81e-06 1.36e-12  4.09e+02     0s

  16  -4.56339410e+09 -4.56432128e+09  9.29e-06 1.38e-12  5.59e+01     0s
  17  -4.56385858e+09 -4.56390755e+09  6.51e-07 1.96e-12  2.95e+00     0s
  18  -4.56388523e+09 -4.56389987e+09  2.16e-07 1.52e-12  8.81e-01     0s

  19  -4.56389883e+09 -4.56389884e+09  2.63e-09 9.61e-13  8.82e-04     1s

  20  -4.56389884e+09 -4.56389884e+09  3.65e-06 1.63e-11  2.19e-06     1s
  21  -4.56389884e+09 -4.56389884e+09  8.64e-08 1.13e-11  2.19e-09     1s

Barrier solved model in 21 iterations and 0.60 seconds (0.14 work units)
Optimal objective -4.56389884e+09

Crossover log...

      14 DPushes remaining with DInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

     663 PPushes remaining with PInf 0.0000000e+00                 1s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 1.3386625e-11      1s

Crossover time: 0.10 seconds (0.02 work units)

Solved with barrier

Iteration    Objective       Primal Inf.    Dual Inf.      Time
     680   -4.5638988e+09   0.000000e+00   0.000000e+00      1s

Solved in 680 iterations and 0.75 seconds (0.17 work units)
Optimal objective -4.563898841e+09

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)
/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)
/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)
/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(
/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(
/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(
/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Read LP format model from file /tmp/linopy-problem-2e1jqmdd.lp
Reading time = 0.10 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x3b1d4e6f
Model has 6 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [4e+01, 5e+04]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.07s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.02s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -4.70725135e+09 -9.88784497e+11  7.39e+08 2.59e+03  4.85e+09     0s
   1  -8.66212437e+10 -9.27826896e+11  1.17e+08 5.23e+03  2.60e+09     0s
   2  -8.16274559e+10 -3.33137665e+11  6.60e+07 1.03e+02  4.42e+08     0s
   3  -6.08878680e+09 -1.40106100e+11  2.61e+06 5.52e+00  2.44e+07     0s
   4  -3.87126561e+09 -5.33179748e+10  5.34e+05 4.68e-02  5.03e+06     0s

   5  -3.58221060e+09 -2.69498662e+10  1.96e+05 1.57e-11  1.84e+06     0s
   6  -3.58641462e+09 -1.15545995e+10  1.02e+05 1.04e-11  5.87e+05     0s
   7  -3.70582415e+09 -7.89144949e+09  5.09e+04 5.10e-12  2.87e+05     0s
   8  -3.82393145e+09 -6.40129851e+09  3.25e+04 3.10e-12  1.72e+05     0s
   9  -4.03251045e+09 -6.27300457e+09  1.77e+04 2.52e-12  1.44e+05     0s
  10  -4.17477003e+09 -5.84208176e+09  1.16e+04 2.58e-12  1.06e+05     0s
  11  -4.24113862e+09 -5.54742257e+09  9.25e+03 2.94e-12  8.30e+04     0s
  12  -4.26974322e+09 -5.52894632e+09  8.35e+03 3.08e-12  7.98e+04     0s

  13  -4.33927040e+09 -5.20925996e+09  5.85e+03 2.25e-12  5.51e+04     1s
  14  -4.39393248e+09 -4.85977786e+09  3.78e+03 1.50e-12  2.97e+04     1s
  15  -4.45468484e+09 -4.69753534e+09  1.33e+03 2.27e-12  1.52e+04     1s
  16  -4.45857368e+09 -4.66868260e+09  1.14e+03 2.50e-12  1.31e+04     1s
  17  -4.48833221e+09 -4.52508892e+09  1.37e+02 1.45e-12  2.27e+03     1s
  18  -4.49284166e+09 -4.49869224e+09  2.20e+01 2.82e-12  3.62e+02     1s
  19  -4.49397721e+09 -4.49413609e+09  1.07e-06 1.90e-12  9.57e+00     1s
  20  -4.49399851e+09 -4.49399852e+09  3.87e-08 2.60e-12  4.44e-04     1s

  21  -4.49399851e+09 -4.49399851e+09  7.38e-08 1.47e-11  4.44e-07     1s
  22  -4.49399851e+09 -4.49399851e+09  7.99e-08 2.46e-11  7.73e-12     1s

Barrier solved model in 22 iterations and 0.76 seconds (0.14 work units)
Optimal objective -4.49399851e+09

Crossover log...

      72 DPushes remaining with DInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    2074 PPushes remaining with PInf 0.0000000e+00                 1s

       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 5.4967586e-11      1s

Crossover time: 0.24 seconds (0.07 work units)

Solved with barrier
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    2148   -4.4939985e+09   0.000000e+00   0.000000e+00      1s

Solved in 2148 iterations and 1.02 seconds (0.22 work units)
Optimal objective -4.493998513e+09

Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Read LP format model from file /tmp/linopy-problem-ctuw29mv.lp
Reading time = 0.10 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x0bba3001
Model has 6 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [7e+01, 9e+04]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.07s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.02s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -1.28208978e+09 -4.84373432e+11  7.39e+08 1.27e+03  2.37e+09     0s
   1  -8.78024837e+10 -4.57958999e+11  1.47e+08 2.20e+03  1.33e+09     0s
   2  -7.75956017e+10 -1.41885965e+11  6.92e+07 6.02e+01  1.86e+08     0s
   3  -6.95375359e+09 -6.51149697e+10  5.84e+06 5.85e+00  1.84e+07     0s
   4  -3.36626014e+08 -2.52268434e+10  4.88e+05 2.91e-01  2.45e+06     0s
   5   4.66324682e+07 -1.06785580e+10  1.99e+05 5.40e-02  8.69e+05     0s
   6   1.10469930e+08 -2.61080271e+09  1.15e+05 4.04e-12  2.25e+05     0s
   7  -1.23747429e+08 -1.14708674e+09  3.09e+04 1.86e-12  7.33e+04     0s

   8  -2.53708869e+08 -7.10129311e+08  1.54e+04 1.14e-12  3.23e+04     0s
   9  -3.52496203e+08 -5.57793560e+08  5.50e+03 1.02e-12  1.40e+04     0s
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
  10  -3.91357061e+08 -4.67650739e+08  1.75e+03 8.54e-13  5.08e+03     0s
  11  -4.07205646e+08 -4.31274831e+08  4.49e+02 1.23e-12  1.57e+03     0s
  12  -4.11863962e+08 -4.19544517e+08  1.25e+02 1.09e-12  4.96e+02     0s
Read LP format model from file /tmp/linopy-problem-cujowiz6.lp
Reading time = 0.05 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x046c2043
Model has 6 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [7e+01, 8e+04]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
  13  -4.13564284e+08 -4.15066961e+08  2.32e+01 9.34e-13  9.68e+01     0s
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
  14  -4.13947009e+08 -4.14136176e+08  2.33e+00 1.42e-12  1.20e+01     0s
  15  -4.13994795e+08 -4.13995298e+08  4.10e-06 1.43e-12  3.03e-02     0s
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.07s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

  16  -4.13994989e+08 -4.13994990e+08  3.75e-08 1.11e-12  3.03e-05     0s
  17  -4.13994989e+08 -4.13994989e+08  2.56e-08 5.00e-12  3.03e-08     0s
Ordering time: 0.01s
  18  -4.13994989e+08 -4.13994989e+08  1.21e-08 1.17e-11  3.03e-11     1s

Barrier solved model in 18 iterations and 0.52 seconds (0.13 work units)
Optimal objective -4.13994989e+08

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
Crossover log...


                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0   3.60914841e+09 -6.97893815e+11  7.39e+08 1.82e+03  3.43e+09     0s
      12 DPushes remaining with DInf 0.0000000e+00                 1s
Read LP format model from file /tmp/linopy-problem-ceyeedhd.lp
Reading time = 0.15 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0xf447e93f
Model has 6 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [8e+01, 1e+05]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

       0 DPushes remaining with DInf 0.0000000e+00                 1s
   1   6.43990647e+10 -6.05491420e+11  9.49e+07 3.29e+03  1.58e+09     0s

     710 PPushes remaining with PInf 0.0000000e+00                 1s
   2   6.04189870e+10 -2.32308114e+11  5.05e+07 3.27e+01  2.61e+08     0s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 1.1709744e-11      1s

Crossover time: 0.12 seconds (0.02 work units)

Solved with barrier
Iteration    Objective       Primal Inf.    Dual Inf.      Time
     725   -4.1399499e+08   0.000000e+00   0.000000e+00      1s

Solved in 725 iterations and 0.65 seconds (0.15 work units)
Optimal objective -4.139949893e+08
   3   2.12671070e+09 -1.02791856e+11  9.96e+05 2.36e-01  1.08e+07     0s
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.13s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

   4   1.27984638e+09 -2.87976122e+10  4.28e+05 1.88e-11  2.79e+06     0s

   5   6.35341676e+08 -1.18811129e+10  1.90e+05 9.03e-12  9.58e+05     0s
Ordering time: 0.03s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
   6   9.73252633e+07 -8.53203519e+09  1.25e+05 6.52e-12  6.25e+05     0s

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -7.06982528e+09 -7.72434230e+11  7.39e+08 2.03e+03  3.79e+09     0s
   7  -3.30215796e+08 -7.52161728e+09  9.22e+04 5.76e-12  5.06e+05     0s
   1  -1.56754038e+11 -6.95858055e+11  1.29e+08 4.16e+03  2.07e+09     0s
   8  -6.86302055e+08 -6.45473899e+09  7.29e+04 5.23e-12  4.01e+05     0s
   9  -9.06521167e+08 -5.10356741e+09  6.04e+04 3.30e-12  2.93e+05     0s
   2  -1.48607845e+11 -2.49130578e+11  6.97e+07 6.69e+01  3.32e+08     0s
  10  -8.55731095e+08 -4.95961353e+09  5.85e+04 3.47e-12  2.86e+05     0s
   3  -9.93382997e+09 -1.11130394e+11  2.72e+06 2.64e+00  1.83e+07     0s
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
  11  -9.91891267e+08 -4.56553274e+09  5.08e+04 2.59e-12  2.48e+05     1s
   4  -5.50885787e+09 -3.84110261e+10  5.09e+05 2.83e-11  3.35e+06     0s
  12  -1.22514021e+09 -4.05802488e+09  3.45e+04 2.42e-12  1.92e+05     1s

   5  -4.85866880e+09 -1.92779960e+10  1.76e+05 8.97e-12  1.13e+06     0s
  13  -1.48423886e+09 -3.37250096e+09  2.35e+04 2.13e-12  1.28e+05     1s
   6  -4.73443539e+09 -7.91836964e+09  1.02e+05 4.51e-12  2.53e+05     0s
  14  -1.53455733e+09 -2.72107089e+09  2.12e+04 2.81e-12  8.35e+04     1s
   7  -4.65965835e+09 -6.24325697e+09  1.26e+04 1.10e-12  1.00e+05     0s
  15  -1.63057389e+09 -2.49882216e+09  9.13e+03 2.34e-12  5.72e+04     1s
   8  -4.71797102e+09 -5.68861804e+09  7.34e+03 1.26e-12  6.07e+04     0s
  16  -1.68939386e+09 -2.13985505e+09  4.85e+03 2.67e-12  2.96e+04     1s
   9  -4.77548136e+09 -5.58310430e+09  5.26e+03 1.20e-12  5.02e+04     0s
  17  -1.74936063e+09 -1.97796008e+09  1.55e+03 1.93e-12  1.45e+04     1s
Read LP format model from file /tmp/linopy-problem-xp1fy50p.lp
Reading time = 0.14 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
  10  -4.81910634e+09 -5.52702800e+09  4.32e+03 1.57e-12  4.39e+04     0s
Model fingerprint: 0x84f40ffc
Model has 6 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [1e+01, 5e+04]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

  18  -1.76775288e+09 -1.95092816e+09  1.12e+03 1.72e-12  1.16e+04     1s
  11  -4.88387243e+09 -5.36428231e+09  2.25e+03 1.50e-12  2.95e+04     1s
  12  -4.90628287e+09 -5.27494178e+09  1.96e+03 1.32e-12  2.27e+04     1s
  19  -1.77203105e+09 -1.90898553e+09  9.55e+02 2.52e-12  8.73e+03     1s
  20  -1.77915438e+09 -1.90517593e+09  7.47e+02 2.38e-12  7.96e+03     1s
  13  -4.94786062e+09 -5.19055171e+09  1.31e+03 1.12e-12  1.49e+04     1s
  21  -1.78732896e+09 -1.86649507e+09  4.75e+02 2.39e-12  5.01e+03     1s
  14  -4.96983974e+09 -5.14902303e+09  8.39e+02 1.04e-12  1.10e+04     1s
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.10s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

  22  -1.79368464e+09 -1.85323200e+09  2.04e+02 2.30e-12  3.69e+03     1s
  15  -4.99210547e+09 -5.10210275e+09  4.33e+02 7.31e-13  6.72e+03     1s

  23  -1.79479493e+09 -1.84513154e+09  1.50e+02 2.22e-12  3.11e+03     1s
  16  -4.99767833e+09 -5.06245887e+09  2.75e+02 7.86e-13  3.96e+03     1s
  17  -5.00799984e+09 -5.03275011e+09  9.02e+01 6.16e-13  1.51e+03     1s
  24  -1.79644355e+09 -1.82896785e+09  1.13e+02 1.44e-12  2.02e+03     1s
  25  -1.79855881e+09 -1.81055149e+09  4.49e+01 2.45e-12  7.45e+02     1s
Ordering time: 0.03s
  18  -5.01070999e+09 -5.01973191e+09  4.95e+01 9.54e-13  5.54e+02     1s
  26  -1.79977301e+09 -1.80190687e+09  4.31e+00 1.52e-12  1.31e+02     1s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
  19  -5.01190390e+09 -5.01655260e+09  3.20e+01 8.80e-13  2.87e+02     1s
  27  -1.79995011e+09 -1.80005600e+09  1.32e+00 2.10e-12  7.04e+00     1s
  20  -5.01311218e+09 -5.01551032e+09  1.57e+01 7.74e-13  1.48e+02     1s

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0   3.61690948e+09 -2.75958766e+09  7.55e+08 0.00e+00  1.40e+07     0s
  28  -1.80003347e+09 -1.80003470e+09  3.00e-05 2.91e-11  7.40e-02     1s
  21  -5.01390610e+09 -5.01458800e+09  5.09e+00 1.18e-12  4.21e+01     1s
   1   3.55043200e+09 -2.15469479e+09  2.83e+07 6.31e+00  1.90e+06     0s
  22  -5.01431195e+09 -5.01435265e+09  2.96e-01 7.50e-12  2.51e+00     1s
  29  -1.80003410e+09 -1.80003411e+09  7.07e-08 6.55e-11  3.75e-04     1s
  23  -5.01433630e+09 -5.01434062e+09  3.14e-02 6.37e-12  2.67e-01     1s
   2   2.21833676e+09 -2.95874796e+08  5.76e+06 7.10e-01  3.40e+05     0s
  30  -1.80003410e+09 -1.80003410e+09  2.99e-07 2.09e-11  3.75e-07     1s
  24  -5.01434009e+09 -5.01434012e+09  1.07e-04 1.64e-10  1.96e-03     1s
  25  -5.01434010e+09 -5.01434010e+09  1.39e-06 5.14e-11  2.69e-08     1s
  31  -1.80003410e+09 -1.80003410e+09  7.66e-08 3.87e-11  2.35e-11     1s

Barrier solved model in 31 iterations and 0.96 seconds (0.20 work units)
Optimal objective -1.80003410e+09

Crossover log...

  26  -5.01434010e+09 -5.01434010e+09  6.29e-09 1.22e-09  2.69e-11     1s

Barrier solved model in 26 iterations and 0.79 seconds (0.16 work units)
Optimal objective -5.01434010e+09

   3   1.56524276e+09  4.68203965e+08  3.62e+06 2.08e-02  1.34e+05     0s
Crossover log...

       8 DPushes remaining with DInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    1813 PPushes remaining with PInf 0.0000000e+00                 1s
       8 DPushes remaining with DInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    1757 PPushes remaining with PInf 0.0000000e+00                 1s
   4   1.41958012e+09  1.08197226e+09  2.30e+06 1.39e-02  9.38e+04     0s
   5   1.44803157e+09  1.37596780e+09  1.77e+06 1.19e-03  6.98e+04     0s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 4.0756731e-11      1s

Crossover time: 0.13 seconds (0.06 work units)
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 1.9717561e-11      1s

Crossover time: 0.13 seconds (0.06 work units)
   6   1.45492998e+09  1.41621271e+09  1.67e+06 4.02e-04  6.58e+04     0s

Solved with barrier

Solved with barrier
   7   1.46221596e+09  1.47554506e+09  1.42e+06 4.57e-04  5.60e+04     0s
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1824   -1.8000341e+09   0.000000e+00   0.000000e+00      1s

Solved in 1824 iterations and 1.12 seconds (0.26 work units)
Optimal objective -1.800034101e+09
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1768   -5.0143401e+09   0.000000e+00   0.000000e+00      1s

Solved in 1768 iterations and 0.95 seconds (0.22 work units)
Optimal objective -5.014340105e+09
   8   1.51136551e+09  1.58444623e+09  1.19e+06 5.05e-04  4.79e+04     0s
   9   1.54401152e+09  1.60936942e+09  1.09e+06 4.71e-04  4.49e+04     0s
  10   1.59260112e+09  1.72605561e+09  9.60e+05 9.95e-04  3.77e+04     1s
  11   1.67774860e+09  1.78170196e+09  6.97e+05 7.42e-04  2.81e+04     1s

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

  12   1.71777162e+09  1.80534723e+09  5.87e+05 7.12e-04  2.41e+04     1s
  13   1.73376317e+09  1.83394928e+09  5.60e+05 6.33e-04  2.23e+04     1s
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
  14   1.76073505e+09  1.84190466e+09  4.98e+05 5.74e-04  2.06e+04     1s
  15   1.78983300e+09  1.87087574e+09  4.45e+05 4.82e-04  1.86e+04     1s
  16   1.83675282e+09  1.90854444e+09  3.61e+05 3.97e-04  1.59e+04     1s
Read LP format model from file /tmp/linopy-problem-s64_pmyg.lp
Reading time = 0.09 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

  17   1.85195911e+09  1.96683678e+09  3.38e+05 3.07e-04  1.36e+04     1s
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0xa11f8f12
Model has 6 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [5e+01, 6e+04]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

  18   1.87620185e+09  1.99002331e+09  2.99e+05 2.40e-04  1.22e+04     1s
  19   1.88750452e+09  1.99941121e+09  2.84e+05 2.21e-04  1.16e+04     1s
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.07s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

  20   1.90804100e+09  2.04828011e+09  2.55e+05 1.48e-04  9.38e+03     1s
Ordering time: 0.02s
  21   1.93718649e+09  2.05896925e+09  2.16e+05 1.33e-04  8.15e+03     1s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
  22   1.95151129e+09  2.06840226e+09  1.99e+05 7.68e-05  7.18e+03     1s

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0   3.02769858e+08 -1.01366562e+12  7.39e+08 2.65e+03  4.98e+09     0s
  23   1.98200762e+09  2.07330567e+09  1.63e+05 4.84e-05  6.18e+03     1s
   1   1.80206383e+10 -9.28286855e+11  1.06e+08 5.26e+03  2.51e+09     0s
  24   2.00658837e+09  2.09676260e+09  1.37e+05 1.47e-05  4.71e+03     1s
   2   2.22277140e+10 -3.33118430e+11  5.89e+07 8.36e+01  4.14e+08     0s
  25   2.02123482e+09  2.10433509e+09  1.22e+05 6.25e-13  4.14e+03     1s
   3   3.31515372e+08 -1.51572995e+11  1.86e+06 4.09e+00  2.11e+07     0s
  26   2.03917773e+09  2.10560988e+09  1.04e+05 1.71e-13  3.83e+03     1s
   4  -4.94431662e+08 -4.80492180e+10  4.47e+05 4.86e-02  4.47e+06     0s
  27   2.04658956e+09  2.11260938e+09  9.67e+04 2.84e-13  3.46e+03     1s
   5  -8.36878211e+08 -2.08333122e+10  1.47e+05 1.60e-11  1.48e+06     0s

  28   2.05285751e+09  2.11274590e+09  9.08e+04 6.82e-13  3.35e+03     1s
  29   2.06956426e+09  2.12464361e+09  7.61e+04 1.71e-13  2.66e+03     1s
   6  -1.09778013e+09 -9.31853022e+09  8.77e+04 7.50e-12  5.87e+05     0s
   7  -1.36196327e+09 -6.88305489e+09  6.37e+04 5.74e-12  3.82e+05     0s
  30   2.07264686e+09  2.13212083e+09  7.33e+04 1.70e-14  2.25e+03     1s
   8  -1.66396762e+09 -6.15689273e+09  3.09e+04 4.60e-12  2.93e+05     0s
  31   2.08377172e+09  2.13335076e+09  6.40e+04 3.59e-14  2.13e+03     1s
   9  -1.76900591e+09 -5.26151982e+09  2.70e+04 3.71e-12  2.29e+05     0s
  32   2.09325379e+09  2.13618398e+09  5.58e+04 1.71e-13  1.91e+03     1s
  33   2.10119386e+09  2.13841231e+09  4.89e+04 1.14e-13  1.73e+03     1s
  10  -2.00088817e+09 -4.70071241e+09  2.01e+04 2.47e-12  1.76e+05     0s
  34   2.10657053e+09  2.14000087e+09  4.42e+04 5.34e-14  1.60e+03     1s
  35   2.10749599e+09  2.14274427e+09  4.34e+04 3.30e-12  1.48e+03     1s
  11  -2.21307872e+09 -3.76492583e+09  1.31e+04 1.85e-12  1.01e+05     0s
  36   2.11309252e+09  2.14362961e+09  3.84e+04 4.32e-12  1.36e+03     1s
  12  -2.30083663e+09 -3.33949759e+09  9.60e+03 3.25e-12  6.83e+04     0s
  37   2.11699749e+09  2.14782463e+09  3.50e+04 2.84e-12  1.16e+03     1s

  38   2.11958501e+09  2.14867810e+09  3.33e+04 3.13e-12  1.15e+03     1s
  13  -2.41280894e+09 -3.07323828e+09  4.81e+03 2.01e-12  4.26e+04     1s
  39   2.12694868e+09  2.14982927e+09  2.75e+04 2.96e-12  1.04e+03     1s
  14  -2.47823976e+09 -2.69219107e+09  2.28e+03 1.56e-12  1.42e+04     1s
  15  -2.50591152e+09 -2.61946526e+09  1.21e+03 1.42e-12  7.52e+03     1s
  40   2.12835479e+09  2.15029206e+09  2.64e+04 3.30e-12  1.00e+03     1s
  16  -2.52965820e+09 -2.55773599e+09  3.84e+02 1.68e-12  1.91e+03     1s
  41   2.12852709e+09  2.15251383e+09  2.63e+04 1.64e-11  9.22e+02     1s
  17  -2.53789998e+09 -2.54398660e+09  1.03e+02 3.12e-12  4.24e+02     1s
  42   2.13052347e+09  2.15359233e+09  2.49e+04 1.86e-11  8.92e+02     1s
  43   2.13412977e+09  2.15444202e+09  2.24e+04 1.86e-11  8.54e+02     1s
  18  -2.54086861e+09 -2.54147205e+09  4.99e+00 1.28e-11  3.91e+01     1s
  44   2.14080845e+09  2.15659137e+09  1.74e+04 2.32e-11  6.65e+02     1s
  19  -2.54104094e+09 -2.54110582e+09  7.66e-01 2.59e-11  4.33e+00     1s

  45   2.14733919e+09  2.16051063e+09  1.25e+04 1.82e-12  3.79e+02     1s
  20  -2.54108921e+09 -2.54109644e+09  7.17e-02 1.62e-09  4.76e-01     1s
  21  -2.54109553e+09 -2.54109561e+09  2.11e-04 4.89e-10  5.06e-03     1s
  46   2.15284591e+09  2.16098382e+09  8.48e+03 5.91e-12  3.07e+02     1s
  47   2.15709499e+09  2.16335721e+09  5.42e+03 4.77e-12  1.37e+02     1s
  22  -2.54109559e+09 -2.54109559e+09  3.61e-05 9.57e-10  1.61e-05     1s
  48   2.15842390e+09  2.16341422e+09  4.45e+03 4.72e-12  1.22e+02     2s
  23  -2.54109559e+09 -2.54109559e+09  3.63e-08 1.61e-08  1.61e-08     1s
  49   2.15928170e+09  2.16407163e+09  3.81e+03 9.72e-12  7.81e+01     2s
  24  -2.54109559e+09 -2.54109559e+09  2.33e-10 3.00e-10  1.61e-11     1s

Barrier solved model in 24 iterations and 0.86 seconds (0.15 work units)
Optimal objective -2.54109559e+09

  50   2.16164189e+09  2.16436971e+09  2.12e+03 1.81e-13  3.87e+01     2s
Crossover log...

  51   2.16224902e+09  2.16439317e+09  1.67e+03 1.48e-12  3.11e+01     2s

     103 DPushes remaining with DInf 0.0000000e+00                 1s
  52   2.16299407e+09  2.16441877e+09  1.13e+03 1.34e-13  2.29e+01     2s
  53   2.16321714e+09  2.16447711e+09  9.67e+02 3.24e-12  1.78e+01     2s
  54   2.16401377e+09  2.16448556e+09  3.89e+02 4.09e-12  9.32e+00     2s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    2074 PPushes remaining with PInf 0.0000000e+00                 1s
  55   2.16453295e+09  2.16453809e+09  6.29e+00 1.43e-13  3.03e-01     2s
  56   2.16454042e+09  2.16454041e+09  1.55e-06 1.67e-11  3.08e-04     2s
  57   2.16454041e+09  2.16454041e+09  1.45e-05 7.33e-12  3.88e-06     2s
  58   2.16454041e+09  2.16454041e+09  1.59e-08 1.27e-11  4.39e-09     2s

Barrier solved model in 58 iterations and 1.76 seconds (0.32 work units)
Optimal objective 2.16454041e+09

Crossover log...

       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 5.4228622e-11      1s

Crossover time: 0.22 seconds (0.08 work units)
      20 DPushes remaining with DInf 0.0000000e+00                 2s

Solved with barrier
       0 DPushes remaining with DInf 0.0000000e+00                 2s

     907 PPushes remaining with PInf 0.0000000e+00                 2s
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    2180   -2.5410956e+09   0.000000e+00   0.000000e+00      1s

Solved in 2180 iterations and 1.12 seconds (0.24 work units)
Optimal objective -2.541095590e+09

       0 PPushes remaining with PInf 0.0000000e+00                 2s

  Push phase complete: Pinf 0.0000000e+00, Dinf 1.1851853e-11      2s

Crossover time: 0.11 seconds (0.03 work units)

Solved with barrier
Iteration    Objective       Primal Inf.    Dual Inf.      Time
     930    2.1645404e+09   0.000000e+00   0.000000e+00      2s

Solved in 930 iterations and 1.89 seconds (0.35 work units)
Optimal objective  2.164540414e+09

Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Read LP format model from file /tmp/linopy-problem-bpbj9cuc.lp
Reading time = 0.10 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0xc6b98240
Model has 6 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [2e+01, 1e+05]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.07s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de

Ordering time: 0.02s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -1.62263588e+08 -1.06867055e+12  7.39e+08 2.80e+03  5.25e+09     0s
   1  -1.10753177e+09 -9.29847868e+11  1.02e+08 5.39e+03  2.50e+09     0s
Read LP format model from file /tmp/linopy-problem-k99pxiok.lp
Reading time = 0.09 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0xb66396ce
Model has 6 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [1e+02, 2e+05]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

   2   7.01182399e+09 -3.45670832e+11  5.46e+07 5.67e+01  4.05e+08     0s
   3  -1.13590495e+09 -1.56164708e+11  1.17e+06 7.48e-01  1.71e+07     0s
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.06s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

   4  -1.47917409e+09 -4.07686681e+10  3.88e+05 3.82e-11  3.60e+06     0s
Ordering time: 0.02s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
   5  -1.84838923e+09 -2.03895670e+10  1.58e+05 1.53e-11  1.38e+06     0s

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -6.14214855e+09 -9.09669185e+11  7.39e+08 2.38e+03  4.46e+09     0s
   6  -2.18168908e+09 -1.39837007e+10  9.29e+04 1.23e-11  8.24e+05     0s
   1  -1.87987466e+11 -8.61558756e+11  1.46e+08 4.77e+03  2.52e+09     0s
   7  -2.53053384e+09 -1.08940732e+10  6.44e+04 8.80e-12  5.69e+05     0s
   2  -1.79609035e+11 -2.71703580e+11  7.02e+07 1.14e+02  3.56e+08     0s
   8  -2.93343532e+09 -9.63636066e+09  4.80e+04 7.20e-12  4.48e+05     0s
   9  -3.16031590e+09 -8.32369604e+09  3.97e+04 4.74e-12  3.44e+05     0s
   3  -1.61145237e+10 -1.21960649e+11  5.19e+06 1.07e+01  3.18e+07     0s
  10  -3.27559734e+09 -7.79061912e+09  3.00e+04 4.17e-12  2.95e+05     0s
   4  -3.41294910e+09 -4.94718875e+10  4.57e+05 3.22e-01  4.42e+06     0s
  11  -3.73341313e+09 -6.43624401e+09  1.76e+04 2.59e-12  1.75e+05     0s
  12  -3.84938332e+09 -6.35832437e+09  1.57e+04 2.78e-12  1.62e+05     0s
   5  -2.54774005e+09 -2.29880324e+10  1.50e+05 6.71e-02  1.55e+06     0s
  13  -3.94310423e+09 -6.29511841e+09  1.35e+04 3.05e-12  1.51e+05     0s
   6  -2.43260196e+09 -9.32868075e+09  9.11e+04 6.78e-12  5.16e+05     0s

   7  -2.55158742e+09 -6.24214288e+09  1.61e+04 1.62e-03  2.36e+05     0s
  14  -3.98366435e+09 -5.18785462e+09  8.71e+03 2.59e-12  7.85e+04     1s
   8  -2.79339718e+09 -5.17434689e+09  7.14e+03 4.57e-04  1.49e+05     0s
  15  -4.06938254e+09 -4.92980478e+09  5.92e+03 2.22e-12  5.58e+04     1s
   9  -2.90172983e+09 -4.46359440e+09  4.49e+03 9.56e-05  9.73e+04     0s
  16  -4.16136516e+09 -4.88527883e+09  3.66e+03 2.70e-12  4.61e+04     1s
  10  -2.99525680e+09 -4.04908427e+09  2.64e+03 1.57e-12  6.53e+04     0s
  17  -4.16595733e+09 -4.54335726e+09  2.91e+03 1.43e-12  2.45e+04     1s
  11  -3.05779624e+09 -3.89273781e+09  1.79e+03 1.18e-12  5.16e+04     0s
  18  -4.22562001e+09 -4.33685262e+09  1.42e+03 2.74e-12  7.52e+03     1s
  12  -3.10631497e+09 -3.80028265e+09  1.21e+03 1.59e-12  4.28e+04     0s
  19  -4.26965297e+09 -4.30250484e+09  3.67e+02 1.87e-12  2.19e+03     1s
  13  -3.14287529e+09 -3.48505917e+09  8.05e+02 6.68e-05  2.11e+04     0s
  20  -4.27941366e+09 -4.29374880e+09  1.47e+02 1.21e-12  9.46e+02     1s
  14  -3.18918609e+09 -3.31862757e+09  3.03e+02 1.24e-12  7.99e+03     1s
  21  -4.28488122e+09 -4.29100104e+09  2.67e+01 1.53e-12  3.84e+02     1s
  15  -3.20080858e+09 -3.27744506e+09  2.01e+02 1.42e-12  4.73e+03     1s

  22  -4.28496965e+09 -4.28700641e+09  2.48e+01 1.82e-12  1.37e+02     1s
  16  -3.21514117e+09 -3.24562651e+09  7.71e+01 1.16e-12  1.88e+03     1s
  23  -4.28609340e+09 -4.28628898e+09  4.23e-02 3.03e-12  1.18e+01     1s
  17  -3.21871298e+09 -3.23508345e+09  4.72e+01 1.77e-12  1.01e+03     1s
  24  -4.28610432e+09 -4.28610515e+09  3.91e-04 4.62e-10  5.02e-02     1s
  18  -3.22415147e+09 -3.22477336e+09  6.21e-01 1.71e-12  3.79e+01     1s
  25  -4.28610450e+09 -4.28610450e+09  6.09e-08 1.78e-11  5.02e-05     1s
  19  -3.22433588e+09 -3.22435155e+09  1.66e-05 1.09e-12  9.45e-01     1s
  26  -4.28610450e+09 -4.28610450e+09  1.28e-08 1.46e-10  5.02e-08     1s
  27  -4.28610450e+09 -4.28610450e+09  8.85e-09 1.38e-10  5.02e-11     1s

Barrier solved model in 27 iterations and 0.85 seconds (0.17 work units)
Optimal objective -4.28610450e+09

Crossover log...

  20  -3.22434023e+09 -3.22434025e+09  1.35e-07 7.69e-11  1.25e-03     1s
       8 DPushes remaining with DInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    1909 PPushes remaining with PInf 0.0000000e+00                 1s
  21  -3.22434024e+09 -3.22434024e+09  4.52e-08 3.64e-12  1.25e-06     1s

  22  -3.22434024e+09 -3.22434024e+09  3.98e-08 9.32e-12  1.25e-09     1s

Barrier solved model in 22 iterations and 0.77 seconds (0.14 work units)
Optimal objective -3.22434024e+09

Crossover log...

       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 6.7188921e-11      1s

Crossover time: 0.14 seconds (0.06 work units)

Solved with barrier
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1920   -4.2861045e+09   0.000000e+00   0.000000e+00      1s

Solved in 1920 iterations and 1.02 seconds (0.23 work units)
Optimal objective -4.286104499e+09
       2 DPushes remaining with DInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

     679 PPushes remaining with PInf 0.0000000e+00                 1s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 6.9007910e-11      1s

Crossover time: 0.17 seconds (0.02 work units)

Solved with barrier

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

Iteration    Objective       Primal Inf.    Dual Inf.      Time
     684   -3.2243402e+09   0.000000e+00   0.000000e+00      1s

Solved in 684 iterations and 0.97 seconds (0.17 work units)
Optimal objective -3.224340239e+09

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(
/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Read LP format model from file /tmp/linopy-problem-_arlqf21.lp
Reading time = 0.08 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x0664b1b5
Model has 6 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [1e+02, 1e+05]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.03s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.01s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0   5.60526403e+09 -4.66537001e+11  7.39e+08 1.22e+03  2.29e+09     0s
   1   1.04734029e+11 -4.07188789e+11  9.40e+07 2.08e+03  1.06e+09     0s
   2   9.18803873e+10 -1.53823789e+11  5.00e+07 2.34e+01  1.75e+08     0s

   3   3.75519528e+09 -6.69499746e+10  9.13e+05 1.81e-01  7.00e+06     0s
   4   2.60857256e+09 -1.74363735e+10  3.87e+05 6.98e-12  1.77e+06     0s
   5   1.85241393e+09 -7.67119885e+09  1.95e+05 4.56e-12  7.22e+05     0s
   6   1.24774163e+09 -5.24702128e+09  1.25e+05 4.53e-12  4.71e+05     0s
   7   7.56745785e+08 -4.52907884e+09  9.31e+04 4.05e-12  3.75e+05     0s
   8   4.68005728e+08 -3.52004670e+09  7.65e+04 2.76e-12  2.82e+05     0s
   9   3.61105671e+08 -2.74564553e+09  5.96e+04 2.28e-12  2.17e+05     0s
  10   1.59510973e+08 -2.59049935e+09  4.94e+04 2.41e-12  1.90e+05     0s
  11  -4.93596229e+07 -1.96274221e+09  3.70e+04 1.35e-12  1.33e+05     0s
  12  -1.20297852e+08 -1.74535041e+09  3.09e+04 1.43e-12  1.13e+05     0s
  13  -2.01292869e+08 -1.05769475e+09  1.02e+04 7.98e-13  5.66e+04     0s

  14  -2.64371458e+08 -9.00701862e+08  6.34e+03 5.49e-13  4.14e+04     0s
  15  -2.97167004e+08 -7.36190756e+08  5.25e+03 7.83e-13  2.90e+04     0s
  16  -3.07642516e+08 -6.86027440e+08  3.68e+03 5.53e-13  2.46e+04     0s
  17  -3.42610910e+08 -6.39852456e+08  2.34e+03 1.17e-12  1.91e+04     0s
  18  -3.58910521e+08 -5.87325442e+08  1.33e+03 9.40e-13  1.44e+04     0s
  19  -3.75729927e+08 -5.46602929e+08  7.51e+02 5.83e-13  1.07e+04     0s
  20  -3.84674633e+08 -5.30603938e+08  5.33e+02 8.03e-13  9.05e+03     0s
  21  -3.85709027e+08 -5.01230589e+08  4.67e+02 7.82e-13  7.19e+03     0s
  22  -3.94512343e+08 -4.72334439e+08  2.42e+02 1.40e-12  4.81e+03     0s
  23  -3.95943115e+08 -4.37986826e+08  1.93e+02 8.33e-13  2.63e+03     1s
  24  -3.99834014e+08 -4.24666316e+08  8.22e+01 8.32e-13  1.54e+03     1s
  25  -4.01803089e+08 -4.19972030e+08  2.83e+01 9.21e-13  1.11e+03     1s
  26  -4.02583043e+08 -4.08026161e+08  8.81e+00 1.22e-12  3.32e+02     1s

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

  27  -4.02946160e+08 -4.05312846e+08  2.57e-01 9.73e-13  1.43e+02     1s
  28  -4.02981538e+08 -4.03073435e+08  5.20e-02 4.67e-10  5.56e+00     1s
  29  -4.03000375e+08 -4.03000571e+08  1.94e-04 1.46e-11  1.15e-02     1s
  30  -4.03000437e+08 -4.03000437e+08  1.16e-06 1.33e-11  1.15e-05     1s
  31  -4.03000437e+08 -4.03000437e+08  1.95e-07 1.20e-10  1.15e-08     1s
  32  -4.03000437e+08 -4.03000437e+08  3.03e-09 1.23e-10  1.15e-11     1s

Barrier solved model in 32 iterations and 0.66 seconds (0.19 work units)
Optimal objective -4.03000437e+08

Crossover log...

      12 DPushes remaining with DInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    1772 PPushes remaining with PInf 0.0000000e+00                 1s

       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 4.9112714e-11      1s

Crossover time: 0.13 seconds (0.06 work units)

Solved with barrier
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1787   -4.0300044e+08   0.000000e+00   0.000000e+00      1s

Solved in 1787 iterations and 0.81 seconds (0.25 work units)
Optimal objective -4.030004370e+08

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Read LP format model from file /tmp/linopy-problem-4gxgg8sd.lp
Reading time = 0.10 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0xd673e4d2
Model has 6 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [5e+01, 6e+04]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.07s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.01s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -5.95830342e+08 -3.92256847e+11  7.39e+08 7.88e+02  1.92e+09     0s
   1  -5.23131484e+10 -3.76642717e+11  1.33e+08 2.11e+03  1.09e+09     0s
   2  -4.97385633e+10 -1.19085857e+11  6.76e+07 4.78e+01  1.60e+08     0s
   3  -4.65164669e+09 -5.66156771e+10  5.57e+06 4.23e+00  1.56e+07     0s
   4  -8.36223447e+08 -2.19730962e+10  6.06e+05 1.20e-01  2.26e+06     0s
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
   5  -6.11841369e+08 -1.01641711e+10  2.58e+05 1.38e-02  8.28e+05     0s
   6  -6.18892036e+08 -4.04473208e+09  1.76e+05 4.17e-12  3.10e+05     0s
   7  -8.37198541e+08 -2.90613571e+09  7.41e+04 2.28e-12  1.61e+05     0s
   8  -1.00842559e+09 -2.41073400e+09  4.62e+04 1.18e-12  1.05e+05     0s
   9  -1.16394075e+09 -2.10255467e+09  2.63e+04 1.01e-12  6.73e+04     0s
  10  -1.21620643e+09 -1.81822360e+09  9.58e+03 5.75e-13  3.99e+04     0s
Read LP format model from file /tmp/linopy-problem-h7xofv92.lp
Reading time = 0.09 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x42acb29f
Model has 6 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [2e+01, 1e+05]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

  11  -1.27342481e+09 -1.56489351e+09  4.60e+03 9.55e-13  1.92e+04     0s
  12  -1.29303367e+09 -1.49936714e+09  3.10e+03 8.38e-13  1.35e+04     0s
  13  -1.30696337e+09 -1.45896677e+09  2.16e+03 8.65e-13  9.89e+03     0s
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.06s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

  14  -1.32097531e+09 -1.40848833e+09  1.00e+03 9.19e-13  5.60e+03     0s
  15  -1.32943014e+09 -1.36661126e+09  4.18e+02 1.22e-12  2.38e+03     0s
  16  -1.33146245e+09 -1.34079947e+09  2.69e+02 1.32e-12  6.46e+02     0s
  17  -1.33391695e+09 -1.33718522e+09  1.01e+02 8.82e-13  2.28e+02     0s
Ordering time: 0.01s
  18  -1.33508099e+09 -1.33561345e+09  2.47e+01 1.25e-12  3.97e+01     0s
  19  -1.33547588e+09 -1.33549823e+09  3.76e-01 1.68e-12  1.46e+00     0s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
  20  -1.33548569e+09 -1.33548578e+09  2.76e-07 5.62e-12  5.49e-03     0s
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
  21  -1.33548572e+09 -1.33548572e+09  3.49e-08 2.05e-11  5.49e-06     0s
  22  -1.33548572e+09 -1.33548572e+09  8.38e-08 4.93e-11  4.40e-09     0s

Barrier solved model in 22 iterations and 0.44 seconds (0.14 work units)
Optimal objective -1.33548572e+09

Crossover log...


                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0   1.70853610e+09 -2.33930572e+11  7.39e+08 2.71e+02  1.15e+09     0s
      18 DPushes remaining with DInf 0.0000000e+00                 0s
       0 DPushes remaining with DInf 0.0000000e+00                 0s

    1166 PPushes remaining with PInf 0.0000000e+00                 0s
   1  -1.20092137e+10 -2.16780756e+11  1.27e+08 9.70e+02  5.99e+08     0s
       0 PPushes remaining with PInf 0.0000000e+00                 0s

  Push phase complete: Pinf 0.0000000e+00, Dinf 3.0567548e-11      0s

   2   3.34174274e+09 -1.06672932e+11  6.53e+07 2.62e+02  1.96e+08     0s
Crossover time: 0.06 seconds (0.04 work units)

Solved with barrier
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1187   -1.3354857e+09   0.000000e+00   0.000000e+00      1s

Solved in 1187 iterations and 0.51 seconds (0.19 work units)
Optimal objective -1.335485715e+09

   3  -9.02329181e+08 -6.08536930e+10  2.48e+07 8.09e+00  6.40e+07     0s
   4   1.71119335e+09 -3.69668191e+10  8.56e+05 1.91e-01  4.29e+06     0s
   5   1.94143036e+09 -1.38737471e+10  3.29e+05 5.11e-03  1.39e+06     0s
   6   1.98915698e+09 -9.09407209e+09  1.43e+05 5.98e-12  8.15e+05     0s
   7   1.94402510e+09 -5.69962573e+09  8.83e+04 3.78e-12  5.31e+05     0s
   8   1.85837439e+09 -2.63771927e+09  5.34e+04 3.99e-12  3.03e+05     0s
   9   1.77861158e+09 -1.09549780e+09  3.73e+04 1.88e-12  1.90e+05     0s
  10   1.71344274e+09 -5.03518463e+08  3.07e+04 1.69e-12  1.46e+05     0s
  11   1.59167579e+09 -3.11694718e+08  2.38e+04 1.50e-12  1.24e+05     0s
  12   1.54577586e+09  2.69355776e+08  2.00e+04 1.39e-12  8.36e+04     0s
  13   1.41228837e+09  6.15483013e+08  7.72e+03 1.33e-12  5.06e+04     0s
  14   1.34925269e+09  7.83709349e+08  4.40e+03 1.14e-12  3.55e+04     0s

  15   1.31985539e+09  9.44088111e+08  2.89e+03 1.25e-12  2.36e+04     0s
  16   1.29702121e+09  1.02575730e+09  1.57e+03 7.94e-13  1.69e+04     0s
  17   1.28605622e+09  1.06774705e+09  1.05e+03 7.76e-13  1.35e+04     0s
  18   1.27426804e+09  1.16167580e+09  4.28e+02 2.27e-12  6.94e+03     0s
  19   1.26927441e+09  1.18891508e+09  2.94e+02 3.64e-12  4.95e+03     1s
  20   1.26767416e+09  1.20420395e+09  2.49e+02 3.47e-13  3.91e+03     1s
  21   1.26564011e+09  1.21909760e+09  1.96e+02 2.85e-13  2.87e+03     1s
  22   1.26125689e+09  1.22601908e+09  6.56e+01 1.82e-12  2.15e+03     1s
  23   1.26022494e+09  1.24577367e+09  3.42e+01 4.15e-13  8.85e+02     1s
  24   1.25954961e+09  1.25295856e+09  1.81e+01 7.73e-12  4.04e+02     1s
  25   1.25894693e+09  1.25769862e+09  2.58e+00 1.09e-11  7.62e+01     1s
  26   1.25880590e+09  1.25880114e+09  4.60e-03 7.56e-13  2.88e-01     1s

  27   1.25880463e+09  1.25880463e+09  3.63e-07 5.23e-11  2.88e-04     1s
  28   1.25880463e+09  1.25880463e+09  9.71e-08 1.00e-11  2.88e-07     1s
  29   1.25880463e+09  1.25880463e+09  9.57e-08 1.38e-11  2.88e-10     1s

Barrier solved model in 29 iterations and 0.69 seconds (0.18 work units)
Optimal objective 1.25880463e+09

Crossover log...

       4 DPushes remaining with DInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    1033 PPushes remaining with PInf 0.0000000e+00                 1s

       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 1.6939339e-11      1s

Crossover time: 0.12 seconds (0.04 work units)

Solved with barrier
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1040    1.2588046e+09   0.000000e+00   0.000000e+00      1s

Solved in 1040 iterations and 0.84 seconds (0.22 work units)
Optimal objective  1.258804632e+09

Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Read LP format model from file /tmp/linopy-problem-r__79_tt.lp
Reading time = 0.12 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0xc348863e
Model has 6 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [1e+02, 2e+05]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Read LP format model from file /tmp/linopy-problem-hhyjf7zz.lp
Reading time = 0.13 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x841f5210
Model has 6 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [9e+00, 5e+04]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.09s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.02s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.09s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...


                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0   6.24033147e+09 -5.02050666e+11  7.39e+08 1.05e+03  2.47e+09     0s
   1   1.41199194e+11 -4.48929465e+11  9.55e+07 2.57e+03  1.19e+09     0s
Ordering time: 0.02s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
   2   1.27535474e+11 -1.63140805e+11  5.24e+07 3.11e+01  1.96e+08     0s

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0   8.70683082e+08 -4.59490331e+11  7.39e+08 1.08e+03  2.26e+09     0s
   3   5.10385528e+09 -7.40260886e+10  1.15e+06 4.83e-01  8.46e+06     0s
   1  -8.53518931e+09 -4.15519865e+11  1.10e+08 2.42e+03  1.16e+09     0s
   4   2.90568210e+09 -1.80284128e+10  3.86e+05 1.14e-11  1.82e+06     0s
   2  -8.08940387e+09 -1.39163350e+11  6.01e+07 3.35e+01  1.78e+08     0s

   5   1.91144836e+09 -8.09081217e+09  1.58e+05 5.08e-12  7.16e+05     0s
   3  -4.56087799e+08 -6.62283553e+10  2.52e+06 1.27e+00  1.08e+07     0s
   6   1.37685900e+09 -4.99198289e+09  9.48e+04 3.61e-12  4.32e+05     0s
   4  -2.01329476e+08 -1.92754539e+10  4.84e+05 4.42e-11  1.90e+06     0s
   7   1.05385397e+09 -4.12000014e+09  7.63e+04 2.78e-12  3.49e+05     0s
   8   7.03083239e+08 -3.84591964e+09  6.26e+04 2.48e-12  3.04e+05     0s
   5  -3.25836499e+08 -1.06212879e+10  1.96e+05 1.42e-11  8.14e+05     0s
   9   6.85888969e+08 -2.58115248e+09  6.13e+04 1.58e-12  2.23e+05     0s
   6  -4.86012101e+08 -4.77715746e+09  1.41e+05 7.36e-12  3.49e+05     0s
  10   3.65937261e+08 -2.00462719e+09  2.05e+04 1.62e-12  1.51e+05     0s
   7  -8.04837954e+08 -3.81493704e+09  7.86e+04 4.89e-12  2.26e+05     0s
  11   1.16853958e+08 -1.76439751e+09  1.62e+04 1.24e-12  1.20e+05     0s
   8  -1.02510083e+09 -3.47732338e+09  5.92e+04 7.67e-12  1.80e+05     0s
  12   7.60842854e+07 -1.58887367e+09  1.48e+04 1.80e-12  1.06e+05     0s
   9  -1.11105132e+09 -2.91243626e+09  4.84e+04 3.98e-11  1.32e+05     0s
  13  -1.43938783e+08 -1.43067488e+09  1.04e+04 1.31e-12  8.19e+04     0s
  10  -1.30272212e+09 -2.40951594e+09  2.64e+04 7.28e-12  7.87e+04     0s
  14  -1.75495004e+08 -1.08641598e+09  9.01e+03 8.44e-13  5.88e+04     0s
  11  -1.38066051e+09 -2.26465416e+09  1.69e+04 7.59e-12  6.08e+04     0s
  12  -1.38180890e+09 -2.15638740e+09  1.45e+04 7.50e-12  5.29e+04     0s
  15  -2.48946989e+08 -8.54742357e+08  6.34e+03 1.77e-12  3.94e+04     0s

  13  -1.41781914e+09 -2.03888381e+09  1.19e+04 9.09e-12  4.24e+04     0s
  16  -2.90284991e+08 -7.70683159e+08  3.75e+03 1.31e-12  3.07e+04     1s
  14  -1.46034548e+09 -1.85407404e+09  7.88e+03 7.28e-12  2.70e+04     0s
  17  -3.03671977e+08 -6.35253687e+08  3.04e+03 1.31e-12  2.14e+04     1s
  15  -1.49336352e+09 -1.72073022e+09  4.46e+03 1.68e-11  1.55e+04     0s
  18  -3.18807069e+08 -6.03270372e+08  2.41e+03 1.03e-12  1.83e+04     1s
  16  -1.49440486e+09 -1.69946191e+09  4.22e+03 9.09e-12  1.40e+04     1s
  19  -3.19874675e+08 -4.71501317e+08  2.32e+03 9.62e-13  1.02e+04     1s
  17  -1.51085492e+09 -1.60471055e+09  2.49e+03 4.85e-12  6.58e+03     1s
  20  -3.27683162e+08 -3.90525909e+08  1.68e+03 1.25e-12  4.55e+03     1s
  18  -1.53091356e+09 -1.56422538e+09  6.52e+02 8.64e-12  2.24e+03     1s
  21  -3.39976976e+08 -3.80057710e+08  7.29e+02 1.36e-12  2.74e+03     1s
  19  -1.53787266e+09 -1.54297260e+09  1.06e+02 5.46e-12  3.45e+02     1s
  22  -3.46118229e+08 -3.62405985e+08  2.58e+02 1.17e-12  1.10e+03     1s

  20  -1.53923625e+09 -1.54043029e+09  2.05e+01 5.09e-12  7.92e+01     1s
  23  -3.48572059e+08 -3.52824372e+08  6.99e+01 1.84e-12  2.88e+02     1s
  21  -1.53956651e+09 -1.53959263e+09  4.30e-01 7.28e-12  1.73e+00     1s
  24  -3.49083070e+08 -3.50988119e+08  3.48e+01 1.08e-12  1.30e+02     1s
  22  -1.53958205e+09 -1.53958212e+09  2.05e-04 1.77e-10  4.46e-03     1s
  25  -3.49626402e+08 -3.49714966e+08  1.10e-06 3.32e-11  5.33e+00     1s

  23  -1.53958208e+09 -1.53958208e+09  1.26e-05 7.65e-11  4.43e-06     1s
  24  -1.53958208e+09 -1.53958208e+09  1.56e-07 2.36e-10  3.93e-11     1s

Barrier solved model in 24 iterations and 0.67 seconds (0.15 work units)
Optimal objective -1.53958208e+09

  26  -3.49643933e+08 -3.49644110e+08  9.27e-08 1.46e-11  1.06e-02     1s
Crossover log...

  27  -3.49643984e+08 -3.49643984e+08  1.61e-08 1.46e-11  1.06e-05     1s
      17 DPushes remaining with DInf 0.0000000e+00                 1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    1519 PPushes remaining with PInf 0.0000000e+00                 1s
  28  -3.49643984e+08 -3.49643984e+08  6.89e-08 2.68e-11  2.02e-10     1s

Barrier solved model in 28 iterations and 0.80 seconds (0.17 work units)
Optimal objective -3.49643984e+08

Crossover log...

     364 DPushes remaining with DInf 0.0000000e+00                 1s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 4.0955683e-11      1s

Crossover time: 0.14 seconds (0.05 work units)

Solved with barrier
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1539   -1.5395821e+09   0.000000e+00   0.000000e+00      1s

Solved in 1539 iterations and 0.84 seconds (0.21 work units)
Optimal objective -1.539582079e+09

       0 DPushes remaining with DInf 0.0000000e+00                 1s
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de

    2133 PPushes remaining with PInf 0.0000000e+00                 1s
Read LP format model from file /tmp/linopy-problem-2m391ov5.lp
Reading time = 0.04 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0x0d72b977
Model has 6 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [9e+01, 1e+05]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.03s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.01s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0   2.18995940e+09 -7.15664783e+11  7.39e+08 1.87e+03  3.52e+09     0s

   1   6.45260111e+10 -6.36881870e+11  9.77e+07 3.68e+03  1.71e+09     0s
   2   6.65776956e+10 -1.90007520e+11  5.42e+07 4.74e+01  2.21e+08     0s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 5.2864380e-11      1s

Crossover time: 0.31 seconds (0.08 work units)

Solved with barrier
   3   2.60657441e+09 -8.53831070e+10  2.01e+06 1.65e+00  1.25e+07     0s
   4   1.72150545e+08 -2.50317560e+10  3.75e+05 1.58e-10  2.24e+06     0s
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    2497   -3.4964398e+08   0.000000e+00   0.000000e+00      1s

Solved in 2497 iterations and 1.15 seconds (0.26 work units)
Optimal objective -3.496439842e+08
   5  -3.95225130e+08 -1.20735650e+10  1.59e+05 3.46e-11  8.64e+05     0s

   6  -6.80662463e+08 -7.24655093e+09  1.07e+05 1.55e-11  4.69e+05     0s
   7  -1.01578904e+09 -6.01464346e+09  8.25e+04 3.14e-11  3.50e+05     0s
   8  -1.22835547e+09 -5.45341968e+09  6.41e+04 2.36e-11  2.90e+05     0s
   9  -1.20011611e+09 -5.17682415e+09  6.26e+04 2.55e-11  2.73e+05     0s
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
  10  -1.29112211e+09 -3.89567045e+09  5.37e+04 2.64e-11  1.81e+05     0s
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
  11  -1.53266803e+09 -2.96291080e+09  2.24e+04 8.19e-12  9.49e+04     0s
  12  -1.59640534e+09 -2.84880401e+09  1.90e+04 8.92e-12  8.29e+04     0s
  13  -1.72976614e+09 -2.67879232e+09  1.17e+04 2.41e-11  6.17e+04     0s
  14  -1.80006352e+09 -2.65557646e+09  8.07e+03 2.03e-11  5.47e+04     0s

  15  -1.86804044e+09 -2.40629483e+09  5.81e+03 1.00e-11  3.47e+04     0s
  16  -1.88647793e+09 -2.20213777e+09  4.31e+03 2.77e-11  2.07e+04     0s
  17  -1.91987645e+09 -2.10359007e+09  2.38e+03 2.32e-11  1.20e+04     0s
  18  -1.93536159e+09 -2.04609374e+09  1.45e+03 3.18e-11  7.24e+03     0s
  19  -1.95116182e+09 -2.00091853e+09  4.73e+02 1.59e-11  3.18e+03     0s
  20  -1.95768389e+09 -1.97214838e+09  6.30e+01 1.46e-11  8.96e+02     0s

Read LP format model from file /tmp/linopy-problem-3zd632bg.lp
Reading time = 0.15 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
  21  -1.95863787e+09 -1.96687299e+09  7.63e+00 7.73e-11  4.99e+02     0s
Model fingerprint: 0x25e8fb4d
Model has 6 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [4e+01, 5e+04]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

  22  -1.95888604e+09 -1.95928738e+09  6.66e-01 2.36e-09  2.44e+01     0s
  23  -1.95895010e+09 -1.95896414e+09  1.46e-06 4.39e-09  8.46e-01     0s
  24  -1.95895106e+09 -1.95895106e+09  1.75e-08 2.73e-11  4.98e-06     0s
  25  -1.95895106e+09 -1.95895106e+09  1.72e-08 3.23e-11  4.98e-09     0s

Barrier solved model in 25 iterations and 0.46 seconds (0.16 work units)
Optimal objective -1.95895106e+09

Crossover log...

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.08s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

     873 DPushes remaining with DInf 0.0000000e+00                 0s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    2278 PPushes remaining with PInf 0.0000000e+00                 1s

Ordering time: 0.04s
       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 3.9108272e-11      1s

Crossover time: 0.09 seconds (0.09 work units)

Solved with barrier

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    3154   -1.9589511e+09   0.000000e+00   0.000000e+00      1s

Solved in 3154 iterations and 0.56 seconds (0.25 work units)
Optimal objective -1.958951063e+09

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -4.75503318e+09 -1.01883151e+12  7.39e+08 2.67e+03  5.00e+09     0s
   1  -9.15359888e+10 -9.53769303e+11  1.18e+08 5.37e+03  2.68e+09     0s
Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de

   2  -8.72712528e+10 -3.37459926e+11  6.62e+07 1.07e+02  4.47e+08     0s
   3  -6.37254065e+09 -1.42001284e+11  2.74e+06 6.08e+00  2.55e+07     0s
   4  -3.70943073e+09 -5.14613845e+10  4.77e+05 7.06e-02  4.69e+06     0s
   5  -3.40604835e+09 -2.67858314e+10  1.57e+05 3.63e-03  1.76e+06     0s

   6  -3.41212764e+09 -1.25556265e+10  9.73e+04 4.09e-12  6.72e+05     0s
Read LP format model from file /tmp/linopy-problem-c_se_58o.lp
Reading time = 0.10 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0xfc823f7c
Model has 6 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [1e+02, 2e+05]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

   7  -3.55843865e+09 -8.78132743e+09  3.72e+04 2.70e-12  3.45e+05     0s
   8  -3.65323916e+09 -6.91189306e+09  2.41e+04 3.05e-12  2.11e+05     0s

   9  -3.86491055e+09 -6.75103614e+09  1.35e+04 2.46e-12  1.82e+05     0s
  10  -3.94499680e+09 -6.07592513e+09  1.11e+04 2.47e-12  1.34e+05     0s
Presolve removed 11188 rows and 1442 columns
Presolve time: 0.07s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

  11  -4.01524044e+09 -5.93219816e+09  8.80e+03 2.24e-12  1.20e+05     0s
Ordering time: 0.02s
  12  -4.04884183e+09 -5.62070002e+09  8.12e+03 2.27e-12  9.88e+04     0s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1
  13  -4.12018925e+09 -5.41010724e+09  6.99e+03 1.88e-12  8.12e+04     0s

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -8.20238888e+09 -9.52907361e+11  7.39e+08 2.50e+03  4.67e+09     0s
  14  -4.23122522e+09 -5.39465477e+09  3.86e+03 1.88e-12  7.20e+04     1s
   1  -2.11442791e+11 -9.06688084e+11  1.45e+08 5.05e+03  2.68e+09     0s
  15  -4.32160120e+09 -4.82946054e+09  2.34e+03 2.58e-12  3.17e+04     1s

   2  -2.07458746e+11 -2.98635403e+11  7.18e+07 1.25e+02  4.00e+08     0s
  16  -4.39541070e+09 -4.75423038e+09  1.17e+03 1.03e-12  2.22e+04     1s
   3  -1.87908313e+10 -1.33888908e+11  5.03e+06 1.08e+01  3.39e+07     0s

  17  -4.39672388e+09 -4.69670853e+09  1.15e+03 1.72e-12  1.86e+04     1s
   4  -5.41738675e+09 -5.30046613e+10  5.25e+05 2.30e-01  4.86e+06     0s
  18  -4.40846789e+09 -4.69010233e+09  9.53e+02 1.62e-12  1.74e+04     1s
   5  -4.46529347e+09 -2.52935591e+10  2.05e+05 3.17e-02  1.70e+06     0s
  19  -4.43625842e+09 -4.62520679e+09  4.77e+02 1.95e-12  1.16e+04     1s

   6  -4.19304156e+09 -1.05715272e+10  9.31e+04 6.67e-12  4.83e+05     0s
  20  -4.44263744e+09 -4.54362019e+09  3.55e+02 1.98e-12  6.25e+03     1s
   7  -4.24765667e+09 -6.85937522e+09  1.44e+04 4.04e-12  1.67e+05     0s
  21  -4.44681275e+09 -4.53023710e+09  2.60e+02 2.75e-12  5.15e+03     1s
   8  -4.40119052e+09 -6.28912581e+09  8.27e+03 3.64e-12  1.19e+05     0s
  22  -4.45586073e+09 -4.48607823e+09  9.34e+01 2.18e-12  1.86e+03     1s
   9  -4.54860555e+09 -5.65982802e+09  4.52e+03 1.95e-12  6.94e+04     0s

  23  -4.46010333e+09 -4.46238474e+09  2.17e+01 3.49e-12  1.47e+02     1s
  10  -4.62179274e+09 -5.32278294e+09  2.80e+03 1.39e-12  4.36e+04     0s
  24  -4.46146306e+09 -4.46148748e+09  2.79e-06 1.96e-12  1.47e+00     1s
  11  -4.70763339e+09 -5.15440372e+09  1.14e+03 1.03e-12  2.75e+04     0s

  25  -4.46146935e+09 -4.46146946e+09  6.29e-09 9.47e-10  6.32e-03     1s
  12  -4.73884027e+09 -4.99557545e+09  7.40e+02 1.41e-12  1.58e+04     0s
  26  -4.46146936e+09 -4.46146936e+09  5.73e-08 7.31e-10  8.53e-06     1s
  13  -4.76601379e+09 -4.89831885e+09  3.83e+02 1.18e-12  8.15e+03     1s
  27  -4.46146936e+09 -4.46146936e+09  6.24e-08 2.75e-10  8.53e-09     1s

Barrier solved model in 27 iterations and 0.89 seconds (0.17 work units)
Optimal objective -4.46146936e+09

  14  -4.77611860e+09 -4.86400353e+09  2.74e+02 6.73e-13  5.42e+03     1s
Crossover log...

  15  -4.78921238e+09 -4.83520483e+09  1.36e+02 6.72e-13  2.83e+03     1s
       5 DPushes remaining with DInf 0.0000000e+00                 1s
  16  -4.79566272e+09 -4.81264990e+09  6.69e+01 4.70e-13  1.05e+03     1s
       0 DPushes remaining with DInf 0.0000000e+00                 1s

    2028 PPushes remaining with PInf 0.0000000e+00                 1s

  17  -4.79936626e+09 -4.80510040e+09  2.73e+01 1.81e-12  3.55e+02     1s
  18  -4.80169703e+09 -4.80256352e+09  3.88e+00 1.93e-12  5.36e+01     1s

  19  -4.80209320e+09 -4.80211108e+09  5.85e-02 1.00e-11  1.10e+00     1s
  20  -4.80210257e+09 -4.80210259e+09  7.69e-07 9.09e-13  1.10e-03     1s
       0 PPushes remaining with PInf 0.0000000e+00                 1s
  21  -4.80210258e+09 -4.80210258e+09  7.53e-08 9.55e-12  1.10e-06     1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 5.9770855e-11      1s

Crossover time: 0.21 seconds (0.06 work units)

Solved with barrier

  22  -4.80210258e+09 -4.80210258e+09  4.75e-08 4.55e-12  1.10e-09     1s

Barrier solved model in 22 iterations and 0.76 seconds (0.14 work units)
Optimal objective -4.80210258e+09

Crossover log...

Iteration    Objective       Primal Inf.    Dual Inf.      Time
    2036   -4.4614694e+09   0.000000e+00   0.000000e+00      1s

Solved in 2036 iterations and 1.13 seconds (0.24 work units)
Optimal objective -4.461469358e+09
       2 DPushes remaining with DInf 0.0000000e+00                 1s

       0 DPushes remaining with DInf 0.0000000e+00                 1s

     695 PPushes remaining with PInf 0.0000000e+00                 1s

       0 PPushes remaining with PInf 0.0000000e+00                 1s

  Push phase complete: Pinf 0.0000000e+00, Dinf 4.6114224e-11      1s

Crossover time: 0.13 seconds (0.02 work units)

Solved with barrier
Iteration    Objective       Primal Inf.    Dual Inf.      Time
     700   -4.8021026e+09   0.000000e+00   0.000000e+00      1s

Solved in 700 iterations and 0.91 seconds (0.17 work units)
Optimal objective -4.802102580e+09

/home/runner/work/PyPSA/PyPSA/pypsa/network/io.py:2082: FutureWarning: pandas infers the `str` dtype for string data since its version 3.0. PyPSA still converts it back to numpy object dtype on import, but will keep it from PyPSA 2.0 on. Set `pypsa.options.api.legacy_string_dtype` explicitly to suppress this warning.
  new_static = _coerce_string_dtypes(new_static)

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Read LP format model from file /tmp/linopy-problem-0zey1pje.lp
Reading time = 0.02 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0xc5f333eb
Model has 6 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [5e+01, 1e+05]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.02s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.00s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0   6.18383285e+08 -1.06615267e+12  7.39e+08 2.79e+03  5.24e+09     0s
   1   2.36938477e+10 -9.15192874e+11  9.92e+07 5.28e+03  2.42e+09     0s
   2   3.19363148e+10 -3.56027767e+11  5.17e+07 5.17e+01  3.98e+08     0s
   3  -2.37994790e+08 -1.58174387e+11  1.02e+06 3.86e-01  1.64e+07     0s
   4  -8.36891405e+08 -4.66830104e+10  4.59e+05 2.41e-11  4.37e+06     0s
   5  -1.38090755e+09 -2.19387794e+10  1.74e+05 1.03e-11  1.55e+06     0s
   6  -1.71050128e+09 -1.24568180e+10  1.05e+05 6.47e-12  7.60e+05     0s
   7  -1.88850752e+09 -1.14825155e+10  8.69e+04 7.75e-12  6.65e+05     0s
   8  -2.34097313e+09 -9.64079536e+09  6.41e+04 4.89e-12  4.96e+05     0s
   9  -2.91497585e+09 -8.53193566e+09  4.50e+04 3.59e-12  3.74e+05     0s
  10  -3.01370606e+09 -7.58308482e+09  4.20e+04 1.56e-12  3.07e+05     0s
  11  -3.37726395e+09 -6.83176309e+09  1.71e+04 1.98e-12  2.20e+05     0s
  12  -3.55779532e+09 -6.65555190e+09  1.43e+04 2.27e-12  1.96e+05     0s
  13  -3.48128735e+09 -6.31045336e+09  1.37e+04 2.39e-12  1.80e+05     0s
  14  -3.80774040e+09 -5.67595528e+09  8.56e+03 1.99e-12  1.18e+05     0s
  15  -3.88650747e+09 -5.43178999e+09  6.85e+03 1.81e-12  9.76e+04     0s
  16  -3.87332757e+09 -5.19956750e+09  5.84e+03 1.62e-12  8.37e+04     0s
  17  -3.96495452e+09 -4.53224462e+09  3.09e+03 3.08e-12  3.62e+04     0s
  18  -3.99619418e+09 -4.24051182e+09  2.33e+03 1.85e-12  1.61e+04     0s
  19  -4.01378022e+09 -4.15908391e+09  1.88e+03 2.15e-12  9.86e+03     0s
  20  -4.03544507e+09 -4.15255560e+09  1.36e+03 2.75e-12  7.86e+03     0s
  21  -4.06870966e+09 -4.09610741e+09  3.62e+02 2.65e-12  1.86e+03     0s
  22  -4.08231935e+09 -4.08644917e+09  2.72e+01 2.22e-12  2.64e+02     0s
  23  -4.08366106e+09 -4.08467484e+09  5.12e+00 2.17e-12  6.40e+01     0s
  24  -4.08398962e+09 -4.08436811e+09  4.65e-01 1.74e-12  2.31e+01     0s
  25  -4.08402737e+09 -4.08414058e+09  1.59e-01 3.05e-10  6.91e+00     0s
  26  -4.08403334e+09 -4.08404962e+09  1.13e-01 1.46e-11  1.04e+00     0s
  27  -4.08404445e+09 -4.08404490e+09  1.51e-04 2.49e-10  2.67e-02     0s
  28  -4.08404460e+09 -4.08404460e+09  1.58e-06 2.92e-11  2.67e-05     0s
  29  -4.08404460e+09 -4.08404460e+09  8.13e-08 3.82e-11  6.36e-10     0s

Barrier solved model in 29 iterations and 0.17 seconds (0.18 work units)
Optimal objective -4.08404460e+09

Crossover log...

       8 DPushes remaining with DInf 0.0000000e+00                 0s
       0 DPushes remaining with DInf 0.0000000e+00                 0s

    1961 PPushes remaining with PInf 0.0000000e+00                 0s
       0 PPushes remaining with PInf 0.0000000e+00                 0s

  Push phase complete: Pinf 0.0000000e+00, Dinf 7.3356432e-11      0s

Crossover time: 0.05 seconds (0.06 work units)

Solved with barrier
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1972   -4.0840446e+09   0.000000e+00   0.000000e+00      0s

Solved in 1972 iterations and 0.22 seconds (0.24 work units)
Optimal objective -4.084044601e+09

/home/runner/work/PyPSA/PyPSA/pypsa/optimization/mga.py:501: FutureWarning: The default value of `include_objective_constant` will change from True to False in version 2.0. Set `include_objective_constant` explicitly to suppress this warning. Using False improves LP numerical conditioning by not including the objective constant as a variable.
  m = self._n.optimize.create_model(

Set parameter WLSAccessID
Set parameter WLSSecret
Set parameter LicenseID to value 2537914
Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Read LP format model from file /tmp/linopy-problem-i6ml_qgb.lp
Reading time = 0.02 seconds
obj: 21435 rows, 9746 columns, 42400 nonzeros
Gurobi Optimizer version 13.0.2 build v13.0.2rc1 (linux64 - "Ubuntu 24.04.4 LTS")

CPU model: AMD EPYC 7763 64-Core Processor, instruction set [SSE2|AVX|AVX2]
Thread count: 2 physical cores, 4 logical processors, using up to 4 threads

Academic license 2537914 - for non-commercial use only - registered to l.___@tu-berlin.de
Optimize a model with 21435 rows, 9746 columns and 42400 nonzeros (Min)
Model fingerprint: 0xfbf211c2
Model has 6 linear objective coefficients
Coefficient statistics:
  Matrix range     [1e-03, 2e+05]
  Objective range  [6e+01, 8e+04]
  Bounds range     [0e+00, 0e+00]
  RHS range        [5e+03, 8e+09]
Warning: Model contains large rhs
         Consider reformulating model or setting NumericFocus parameter
         to avoid numerical issues.

Presolve removed 11188 rows and 1442 columns
Presolve time: 0.02s
Presolved: 10247 rows, 8304 columns, 29770 nonzeros

Concurrent LP optimizer: dual simplex and barrier
Showing barrier log only...

Ordering time: 0.00s

Barrier statistics:
 Dense cols : 6
 AA' NZ     : 2.537e+04
 Factor NZ  : 1.718e+05 (roughly 9 MB of memory)
 Factor Ops : 2.974e+06 (less than 1 second per iteration)
 Threads    : 1

                  Objective                Residual
Iter       Primal          Dual         Primal    Dual     Compl     Time
   0  -2.42533182e+09 -5.26704544e+11  7.39e+08 1.38e+03  2.58e+09     0s
   1  -8.72662429e+10 -4.95980343e+11  1.36e+08 2.72e+03  1.41e+09     0s
   2  -7.66714494e+10 -1.69797083e+11  6.59e+07 5.50e+01  2.11e+08     0s
   3  -4.76416067e+09 -7.39333011e+10  3.43e+06 3.63e+00  1.45e+07     0s
   4  -1.27624823e+09 -2.51752568e+10  4.92e+05 1.05e-01  2.41e+06     0s
   5  -1.00599257e+09 -1.13257224e+10  1.57e+05 1.72e-02  8.06e+05     0s
   6  -1.08114022e+09 -6.15757951e+09  1.02e+05 3.95e-12  3.88e+05     0s
   7  -1.23909281e+09 -4.54817747e+09  6.80e+04 2.97e-12  2.45e+05     0s
   8  -1.49726754e+09 -3.70079162e+09  2.93e+04 1.57e-12  1.51e+05     0s
   9  -1.63553445e+09 -2.98622743e+09  1.89e+04 2.05e-12  9.18e+04     0s
  10  -1.70563601e+09 -2.79132764e+09  1.49e+04 1.51e-12  7.34e+04     0s
  11  -1.79624961e+09 -2.51415936e+09  1.05e+04 1.19e-12  4.86e+04     0s
  12  -1.84853473e+09 -2.42008785e+09  7.70e+03 9.38e-13  3.84e+04     0s
  13  -1.89577087e+09 -2.33345686e+09  4.39e+03 1.35e-12  2.86e+04     0s
  14  -1.92562708e+09 -2.17388706e+09  2.40e+03 1.59e-12  1.62e+04     0s
  15  -1.94960676e+09 -2.10638558e+09  1.23e+03 1.28e-12  1.01e+04     0s
  16  -1.96091820e+09 -2.03536406e+09  6.09e+02 1.62e-12  4.78e+03     0s
  17  -1.96680351e+09 -1.99517386e+09  3.17e+02 1.53e-12  1.86e+03     0s
  18  -1.97128440e+09 -1.99089480e+09  1.23e+02 1.80e-12  1.24e+03     0s
  19  -1.97339581e+09 -1.97950277e+09  3.21e+01 2.02e-12  3.84e+02     0s
  20  -1.97386730e+09 -1.97464428e+09  1.22e+01 2.49e-12  5.23e+01     0s
  21  -1.97418688e+09 -1.97421053e+09  6.69e-05 2.12e-12  1.43e+00     0s
  22  -1.97419202e+09 -1.97419205e+09  2.14e-08 8.41e-12  1.43e-03     0s
  23  -1.97419203e+09 -1.97419203e+09  5.49e-08 1.61e-11  1.43e-06     0s
  24  -1.97419203e+09 -1.97419203e+09  5.56e-08 7.69e-11  1.43e-09     0s

Barrier solved model in 24 iterations and 0.15 seconds (0.15 work units)
Optimal objective -1.97419203e+09

Crossover log...

       3 DPushes remaining with DInf 0.0000000e+00                 0s
       0 DPushes remaining with DInf 0.0000000e+00                 0s

    1383 PPushes remaining with PInf 0.0000000e+00                 0s

       0 PPushes remaining with PInf 0.0000000e+00                 0s

  Push phase complete: Pinf 0.0000000e+00, Dinf 8.4639851e-11      0s

Crossover time: 0.05 seconds (0.06 work units)

Solved with barrier
Iteration    Objective       Primal Inf.    Dual Inf.      Time
    1389   -1.9741920e+09   0.000000e+00   0.000000e+00      0s

Solved in 1389 iterations and 0.20 seconds (0.21 work units)
Optimal objective -1.974192028e+09

In [11]:

fig, ax = plt.subplots(figsize=(8, 6))
ax.scatter(
    pts["wind"] / 1e6, pts["solar"] / 1e6, c=pts["storage"] / 1e6, cmap="viridis"
)
hull = ConvexHull(pts[["wind", "solar"]] / 1e6)
line_segments = [hull.points[simplex] for simplex in hull.simplices]
ax.add_collection(LineCollection(line_segments, colors="k", linestyle="solid"))

ax.axis("equal")
ax.set_xlabel("Wind investment (mEUR)")
ax.set_ylabel("Solar investment (mEUR)")
cbar = plt.colorbar(ax.collections[0], ax=ax)
cbar.set_label("Storage investment (mEUR)")

fig, ax = plt.subplots(figsize=(8, 6)) ax.scatter( pts["wind"] / 1e6, pts["solar"] / 1e6, c=pts["storage"] / 1e6, cmap="viridis" ) hull = ConvexHull(pts[["wind", "solar"]] / 1e6) line_segments = [hull.points[simplex] for simplex in hull.simplices] ax.add_collection(LineCollection(line_segments, colors="k", linestyle="solid")) ax.axis("equal") ax.set_xlabel("Wind investment (mEUR)") ax.set_ylabel("Solar investment (mEUR)") cbar = plt.colorbar(ax.collections[0], ax=ax) cbar.set_label("Storage investment (mEUR)")

In the above example, we see that low investment in renewables necessitates higher investment in storage, while high investment in renewables excludes (via the total system cost bound) a high investment in storage.