Note
Go to the end to download the full example code
Multistart optimization¶
Runs simple optimization problem with multiple starting points
Nests an MDOScenario in a DOEScenario
using an MDOScenarioAdapter.
from __future__ import annotations
from gemseo import configure_logger
from gemseo import create_design_space
from gemseo import create_discipline
from gemseo import create_scenario
from gemseo.disciplines.scenario_adapters.mdo_scenario_adapter import MDOScenarioAdapter
configure_logger()
<RootLogger root (INFO)>
Create the disciplines¶
objective = create_discipline("AnalyticDiscipline", expressions={"obj": "x**3-x+1"})
constraint = create_discipline(
"AnalyticDiscipline", expressions={"cstr": "x**2+obj**2-1.5"}
)
Create the design space¶
design_space = create_design_space()
design_space.add_variable("x", l_b=-1.5, u_b=1.5, value=1.5)
Create the MDO scenario¶
scenario = create_scenario(
[objective, constraint],
"DisciplinaryOpt",
"obj",
design_space,
)
scenario.default_inputs = {"algo": "SLSQP", "max_iter": 10}
scenario.add_constraint("cstr", constraint_type="ineq")
Create the scenario adapter¶
dv_names = scenario.formulation.opt_problem.design_space.variable_names
adapter = MDOScenarioAdapter(
scenario, dv_names, ["obj", "cstr"], set_x0_before_opt=True
)
Create the DOE scenario¶
scenario_doe = create_scenario(
adapter,
"DisciplinaryOpt",
"obj",
design_space,
scenario_type="DOE",
)
scenario_doe.add_constraint("cstr", constraint_type="ineq")
run_inputs = {"n_samples": 10, "algo": "fullfact"}
scenario_doe.execute(run_inputs)
INFO - 13:08:48:
INFO - 13:08:48: *** Start DOEScenario execution ***
INFO - 13:08:48: DOEScenario
INFO - 13:08:48: Disciplines: MDOScenario_adapter
INFO - 13:08:48: MDO formulation: DisciplinaryOpt
INFO - 13:08:48: Optimization problem:
INFO - 13:08:48: minimize obj(x)
INFO - 13:08:48: with respect to x
INFO - 13:08:48: subject to constraints:
INFO - 13:08:48: cstr(x) <= 0.0
INFO - 13:08:48: over the design space:
INFO - 13:08:48: +------+-------------+-------+-------------+-------+
INFO - 13:08:48: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:08:48: +------+-------------+-------+-------------+-------+
INFO - 13:08:48: | x | -1.5 | 1.5 | 1.5 | float |
INFO - 13:08:48: +------+-------------+-------+-------------+-------+
INFO - 13:08:48: Solving optimization problem with algorithm fullfact:
INFO - 13:08:48:
INFO - 13:08:48: *** Start MDOScenario execution ***
INFO - 13:08:48: MDOScenario
INFO - 13:08:48: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 13:08:48: MDO formulation: DisciplinaryOpt
INFO - 13:08:48: Optimization problem:
INFO - 13:08:48: minimize obj(x)
INFO - 13:08:48: with respect to x
INFO - 13:08:48: subject to constraints:
INFO - 13:08:48: cstr(x) <= 0.0
INFO - 13:08:48: over the design space:
INFO - 13:08:48: +------+-------------+-------+-------------+-------+
INFO - 13:08:48: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:08:48: +------+-------------+-------+-------------+-------+
INFO - 13:08:48: | x | -1.5 | -1.5 | 1.5 | float |
INFO - 13:08:48: +------+-------------+-------+-------------+-------+
INFO - 13:08:48: Solving optimization problem with algorithm SLSQP:
INFO - 13:08:48: 10%|█ | 1/10 [00:00<00:00, 134.07 it/sec, obj=-0.875]
INFO - 13:08:48: 20%|██ | 2/10 [00:00<00:00, 162.93 it/sec, obj=-0.267]
INFO - 13:08:48: 30%|███ | 3/10 [00:00<00:00, 215.86 it/sec, obj=-0.809]
INFO - 13:08:48: 40%|████ | 4/10 [00:00<00:00, 255.66 it/sec, obj=-0.868]
INFO - 13:08:48: 50%|█████ | 5/10 [00:00<00:00, 288.92 it/sec, obj=-0.872]
INFO - 13:08:48: 60%|██████ | 6/10 [00:00<00:00, 298.66 it/sec, obj=-0.265]
INFO - 13:08:48: 70%|███████ | 7/10 [00:00<00:00, 306.95 it/sec, obj=0.136]
INFO - 13:08:48: 80%|████████ | 8/10 [00:00<00:00, 313.68 it/sec, obj=0.579]
INFO - 13:08:48: 90%|█████████ | 9/10 [00:00<00:00, 330.96 it/sec, obj=0.289]
INFO - 13:08:48: 100%|██████████| 10/10 [00:00<00:00, 333.99 it/sec, obj=1.25]
WARNING - 13:08:48: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 13:08:48: Optimization result:
INFO - 13:08:48: Optimizer info:
INFO - 13:08:48: Status: None
INFO - 13:08:48: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 13:08:48: Number of calls to the objective function by the optimizer: 12
INFO - 13:08:48: Solution:
WARNING - 13:08:48: The solution is not feasible.
INFO - 13:08:48: Objective: 0.2888129873625884
INFO - 13:08:48: Standardized constraints:
INFO - 13:08:48: cstr = 0.1513713660745195
INFO - 13:08:48: Design space:
INFO - 13:08:48: +------+-------------+--------------------+-------------+-------+
INFO - 13:08:48: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:08:48: +------+-------------+--------------------+-------------+-------+
INFO - 13:08:48: | x | -1.5 | -1.252181466244097 | 1.5 | float |
INFO - 13:08:48: +------+-------------+--------------------+-------------+-------+
INFO - 13:08:48: *** End MDOScenario execution (time: 0:00:00.046121) ***
INFO - 13:08:48: 10%|█ | 1/10 [00:00<00:00, 18.97 it/sec, obj=0.289]
INFO - 13:08:48:
INFO - 13:08:48: *** Start MDOScenario execution ***
INFO - 13:08:48: MDOScenario
INFO - 13:08:48: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 13:08:48: MDO formulation: DisciplinaryOpt
INFO - 13:08:48: Optimization problem:
INFO - 13:08:48: minimize obj(x)
INFO - 13:08:48: with respect to x
INFO - 13:08:48: subject to constraints:
INFO - 13:08:48: cstr(x) <= 0.0
INFO - 13:08:48: over the design space:
INFO - 13:08:48: +------+-------------+--------------------+-------------+-------+
INFO - 13:08:48: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:08:48: +------+-------------+--------------------+-------------+-------+
INFO - 13:08:48: | x | -1.5 | -1.166666666666667 | 1.5 | float |
INFO - 13:08:48: +------+-------------+--------------------+-------------+-------+
INFO - 13:08:48: Solving optimization problem with algorithm SLSQP:
INFO - 13:08:48: 10%|█ | 1/10 [00:00<00:00, 754.78 it/sec, obj=0.579]
INFO - 13:08:48: 20%|██ | 2/10 [00:00<00:00, 381.68 it/sec, obj=-0.875]
INFO - 13:08:48: 30%|███ | 3/10 [00:00<00:00, 372.34 it/sec, obj=-0.267]
INFO - 13:08:48: 40%|████ | 4/10 [00:00<00:00, 406.53 it/sec, obj=-0.809]
INFO - 13:08:48: 50%|█████ | 5/10 [00:00<00:00, 432.25 it/sec, obj=-0.868]
INFO - 13:08:48: 60%|██████ | 6/10 [00:00<00:00, 453.51 it/sec, obj=-0.874]
INFO - 13:08:48: 70%|███████ | 7/10 [00:00<00:00, 437.87 it/sec, obj=-0.266]
INFO - 13:08:48: 80%|████████ | 8/10 [00:00<00:00, 428.02 it/sec, obj=0.135]
INFO - 13:08:48: 90%|█████████ | 9/10 [00:00<00:00, 419.65 it/sec, obj=0.577]
INFO - 13:08:48: 100%|██████████| 10/10 [00:00<00:00, 432.24 it/sec, obj=0.288]
WARNING - 13:08:48: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 13:08:48: Optimization result:
INFO - 13:08:48: Optimizer info:
INFO - 13:08:48: Status: None
INFO - 13:08:48: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 13:08:48: Number of calls to the objective function by the optimizer: 12
INFO - 13:08:48: Solution:
WARNING - 13:08:48: The solution is not feasible.
INFO - 13:08:48: Objective: 0.28811314244670916
INFO - 13:08:48: Standardized constraints:
INFO - 13:08:48: cstr = 0.15144075010172386
INFO - 13:08:48: Design space:
INFO - 13:08:48: +------+-------------+--------------------+-------------+-------+
INFO - 13:08:48: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:08:48: +------+-------------+--------------------+-------------+-------+
INFO - 13:08:48: | x | -1.5 | -1.252370379421043 | 1.5 | float |
INFO - 13:08:48: +------+-------------+--------------------+-------------+-------+
INFO - 13:08:48: *** End MDOScenario execution (time: 0:00:00.037626) ***
INFO - 13:08:48: 20%|██ | 2/10 [00:00<00:00, 21.77 it/sec, obj=0.288]
INFO - 13:08:48:
INFO - 13:08:48: *** Start MDOScenario execution ***
INFO - 13:08:48: MDOScenario
INFO - 13:08:48: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 13:08:48: MDO formulation: DisciplinaryOpt
INFO - 13:08:48: Optimization problem:
INFO - 13:08:48: minimize obj(x)
INFO - 13:08:48: with respect to x
INFO - 13:08:48: subject to constraints:
INFO - 13:08:48: cstr(x) <= 0.0
INFO - 13:08:48: over the design space:
INFO - 13:08:48: +------+-------------+---------------------+-------------+-------+
INFO - 13:08:48: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:08:48: +------+-------------+---------------------+-------------+-------+
INFO - 13:08:48: | x | -1.5 | -0.8333333333333334 | 1.5 | float |
INFO - 13:08:48: +------+-------------+---------------------+-------------+-------+
INFO - 13:08:48: Solving optimization problem with algorithm SLSQP:
INFO - 13:08:48: 10%|█ | 1/10 [00:00<00:00, 724.66 it/sec, obj=1.25]
INFO - 13:08:48: 20%|██ | 2/10 [00:00<00:00, 373.52 it/sec, obj=-0.875]
INFO - 13:08:48: 30%|███ | 3/10 [00:00<00:00, 427.39 it/sec, obj=1.01]
INFO - 13:08:48: 40%|████ | 4/10 [00:00<00:00, 402.37 it/sec, obj=-0.875]
INFO - 13:08:48: 50%|█████ | 5/10 [00:00<00:00, 427.91 it/sec, obj=0.819]
INFO - 13:08:48: 60%|██████ | 6/10 [00:00<00:00, 404.93 it/sec, obj=-0.875]
INFO - 13:08:48: 70%|███████ | 7/10 [00:00<00:00, 421.39 it/sec, obj=0.693]
INFO - 13:08:48: 80%|████████ | 8/10 [00:00<00:00, 411.40 it/sec, obj=-0.875]
INFO - 13:08:48: 90%|█████████ | 9/10 [00:00<00:00, 423.71 it/sec, obj=0.584]
INFO - 13:08:48: 100%|██████████| 10/10 [00:00<00:00, 416.32 it/sec, obj=-0.875]
WARNING - 13:08:48: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 13:08:48: Optimization result:
INFO - 13:08:48: Optimizer info:
INFO - 13:08:48: Status: None
INFO - 13:08:48: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 13:08:48: Number of calls to the objective function by the optimizer: 12
INFO - 13:08:48: Solution:
WARNING - 13:08:48: The solution is not feasible.
INFO - 13:08:48: Objective: 0.5837798748832244
INFO - 13:08:48: Standardized constraints:
INFO - 13:08:48: cstr = 0.19806414473664136
INFO - 13:08:48: Design space:
INFO - 13:08:48: +------+-------------+--------------------+-------------+-------+
INFO - 13:08:48: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:08:48: +------+-------------+--------------------+-------------+-------+
INFO - 13:08:48: | x | -1.5 | -1.165017254128868 | 1.5 | float |
INFO - 13:08:48: +------+-------------+--------------------+-------------+-------+
INFO - 13:08:48: *** End MDOScenario execution (time: 0:00:00.037045) ***
INFO - 13:08:48: 30%|███ | 3/10 [00:00<00:00, 22.87 it/sec, obj=0.584]
INFO - 13:08:48:
INFO - 13:08:48: *** Start MDOScenario execution ***
INFO - 13:08:48: MDOScenario
INFO - 13:08:48: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 13:08:48: MDO formulation: DisciplinaryOpt
INFO - 13:08:48: Optimization problem:
INFO - 13:08:48: minimize obj(x)
INFO - 13:08:48: with respect to x
INFO - 13:08:48: subject to constraints:
INFO - 13:08:48: cstr(x) <= 0.0
INFO - 13:08:48: over the design space:
INFO - 13:08:48: +------+-------------+-------+-------------+-------+
INFO - 13:08:48: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:08:48: +------+-------------+-------+-------------+-------+
INFO - 13:08:48: | x | -1.5 | -0.5 | 1.5 | float |
INFO - 13:08:48: +------+-------------+-------+-------------+-------+
INFO - 13:08:48: Solving optimization problem with algorithm SLSQP:
INFO - 13:08:48: 10%|█ | 1/10 [00:00<00:00, 734.30 it/sec, obj=1.38]
INFO - 13:08:48: 20%|██ | 2/10 [00:00<00:00, 355.87 it/sec, obj=2.88]
INFO - 13:08:48: 30%|███ | 3/10 [00:00<00:00, 414.31 it/sec, obj=1.23]
INFO - 13:08:48: 40%|████ | 4/10 [00:00<00:00, 398.43 it/sec, obj=2.87]
INFO - 13:08:48: 50%|█████ | 5/10 [00:00<00:00, 426.48 it/sec, obj=0.848]
INFO - 13:08:48: 60%|██████ | 6/10 [00:00<00:00, 398.77 it/sec, obj=0.658]
INFO - 13:08:48: 70%|███████ | 7/10 [00:00<00:00, 383.22 it/sec, obj=0.643]
INFO - 13:08:48: 80%|████████ | 8/10 [00:00<00:00, 373.78 it/sec, obj=0.616]
INFO - 13:08:48: 90%|█████████ | 9/10 [00:00<00:00, 367.63 it/sec, obj=0.615]
INFO - 13:08:48: 100%|██████████| 10/10 [00:00<00:00, 357.28 it/sec, obj=0.615]
INFO - 13:08:48: Optimization result:
INFO - 13:08:48: Optimizer info:
INFO - 13:08:48: Status: None
INFO - 13:08:48: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 13:08:48: Number of calls to the objective function by the optimizer: 13
INFO - 13:08:48: Solution:
INFO - 13:08:48: The solution is feasible.
INFO - 13:08:48: Objective: 0.6150998219543254
INFO - 13:08:48: Standardized constraints:
INFO - 13:08:48: cstr = -0.788285881879476
INFO - 13:08:48: Design space:
INFO - 13:08:48: +------+-------------+--------------------+-------------+-------+
INFO - 13:08:48: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:08:48: +------+-------------+--------------------+-------------+-------+
INFO - 13:08:48: | x | -1.5 | 0.5773788419679762 | 1.5 | float |
INFO - 13:08:48: +------+-------------+--------------------+-------------+-------+
INFO - 13:08:48: *** End MDOScenario execution (time: 0:00:00.042287) ***
INFO - 13:08:48: 40%|████ | 4/10 [00:00<00:00, 22.88 it/sec, obj=0.615]
INFO - 13:08:48:
INFO - 13:08:48: *** Start MDOScenario execution ***
INFO - 13:08:48: MDOScenario
INFO - 13:08:48: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 13:08:48: MDO formulation: DisciplinaryOpt
INFO - 13:08:48: Optimization problem:
INFO - 13:08:48: minimize obj(x)
INFO - 13:08:48: with respect to x
INFO - 13:08:48: subject to constraints:
INFO - 13:08:48: cstr(x) <= 0.0
INFO - 13:08:48: over the design space:
INFO - 13:08:48: +------+-------------+---------------------+-------------+-------+
INFO - 13:08:48: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:08:48: +------+-------------+---------------------+-------------+-------+
INFO - 13:08:48: | x | -1.5 | -0.1666666666666667 | 1.5 | float |
INFO - 13:08:48: +------+-------------+---------------------+-------------+-------+
INFO - 13:08:48: Solving optimization problem with algorithm SLSQP:
INFO - 13:08:48: 10%|█ | 1/10 [00:00<00:00, 729.44 it/sec, obj=1.16]
INFO - 13:08:48: 20%|██ | 2/10 [00:00<00:00, 376.15 it/sec, obj=2.87]
INFO - 13:08:48: 30%|███ | 3/10 [00:00<00:00, 427.19 it/sec, obj=0.785]
INFO - 13:08:48: 40%|████ | 4/10 [00:00<00:00, 389.41 it/sec, obj=2.88]
INFO - 13:08:48: 50%|█████ | 5/10 [00:00<00:00, 402.82 it/sec, obj=0.644]
INFO - 13:08:48: 60%|██████ | 6/10 [00:00<00:00, 384.70 it/sec, obj=0.624]
INFO - 13:08:48: 70%|███████ | 7/10 [00:00<00:00, 372.30 it/sec, obj=0.615]
INFO - 13:08:48: 80%|████████ | 8/10 [00:00<00:00, 364.91 it/sec, obj=0.615]
INFO - 13:08:48: 90%|█████████ | 9/10 [00:00<00:00, 358.08 it/sec, obj=0.615]
INFO - 13:08:48: 100%|██████████| 10/10 [00:00<00:00, 353.85 it/sec, obj=0.615]
INFO - 13:08:48: Optimization result:
INFO - 13:08:48: Optimizer info:
INFO - 13:08:48: Status: None
INFO - 13:08:48: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 13:08:48: Number of calls to the objective function by the optimizer: 12
INFO - 13:08:48: Solution:
INFO - 13:08:48: The solution is feasible.
INFO - 13:08:48: Objective: 0.6150998205402495
INFO - 13:08:48: Standardized constraints:
INFO - 13:08:48: cstr = -0.7883188793606977
INFO - 13:08:48: Design space:
INFO - 13:08:48: +------+-------------+--------------------+-------------+-------+
INFO - 13:08:48: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:08:48: +------+-------------+--------------------+-------------+-------+
INFO - 13:08:48: | x | -1.5 | 0.5773502675245377 | 1.5 | float |
INFO - 13:08:48: +------+-------------+--------------------+-------------+-------+
INFO - 13:08:48: *** End MDOScenario execution (time: 0:00:00.042874) ***
INFO - 13:08:48: 50%|█████ | 5/10 [00:00<00:00, 22.80 it/sec, obj=0.615]
INFO - 13:08:48:
INFO - 13:08:48: *** Start MDOScenario execution ***
INFO - 13:08:48: MDOScenario
INFO - 13:08:48: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 13:08:48: MDO formulation: DisciplinaryOpt
INFO - 13:08:48: Optimization problem:
INFO - 13:08:48: minimize obj(x)
INFO - 13:08:48: with respect to x
INFO - 13:08:48: subject to constraints:
INFO - 13:08:48: cstr(x) <= 0.0
INFO - 13:08:48: over the design space:
INFO - 13:08:48: +------+-------------+--------------------+-------------+-------+
INFO - 13:08:48: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:08:48: +------+-------------+--------------------+-------------+-------+
INFO - 13:08:48: | x | -1.5 | 0.1666666666666667 | 1.5 | float |
INFO - 13:08:48: +------+-------------+--------------------+-------------+-------+
INFO - 13:08:48: Solving optimization problem with algorithm SLSQP:
INFO - 13:08:48: 10%|█ | 1/10 [00:00<00:00, 723.78 it/sec, obj=0.838]
INFO - 13:08:48: 20%|██ | 2/10 [00:00<00:00, 372.96 it/sec, obj=2.88]
INFO - 13:08:48: 30%|███ | 3/10 [00:00<00:00, 427.38 it/sec, obj=0.656]
INFO - 13:08:48: 40%|████ | 4/10 [00:00<00:00, 388.87 it/sec, obj=0.639]
INFO - 13:08:48: 50%|█████ | 5/10 [00:00<00:00, 369.19 it/sec, obj=0.616]
INFO - 13:08:48: 60%|██████ | 6/10 [00:00<00:00, 359.75 it/sec, obj=0.615]
INFO - 13:08:48: 70%|███████ | 7/10 [00:00<00:00, 347.74 it/sec, obj=0.615]
INFO - 13:08:48: 80%|████████ | 8/10 [00:00<00:00, 342.73 it/sec, obj=0.615]
INFO - 13:08:48: 90%|█████████ | 9/10 [00:00<00:00, 338.52 it/sec, obj=0.615]
INFO - 13:08:48: Optimization result:
INFO - 13:08:48: Optimizer info:
INFO - 13:08:48: Status: None
INFO - 13:08:48: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:08:48: Number of calls to the objective function by the optimizer: 10
INFO - 13:08:48: Solution:
INFO - 13:08:48: The solution is feasible.
INFO - 13:08:48: Objective: 0.6150998205402508
INFO - 13:08:48: Standardized constraints:
INFO - 13:08:48: cstr = -0.7883189092934597
INFO - 13:08:48: Design space:
INFO - 13:08:48: +------+-------------+--------------------+-------------+-------+
INFO - 13:08:48: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:08:48: +------+-------------+--------------------+-------------+-------+
INFO - 13:08:48: | x | -1.5 | 0.5773502416020033 | 1.5 | float |
INFO - 13:08:48: +------+-------------+--------------------+-------------+-------+
INFO - 13:08:48: *** End MDOScenario execution (time: 0:00:00.039507) ***
INFO - 13:08:48: 60%|██████ | 6/10 [00:00<00:00, 22.97 it/sec, obj=0.615]
INFO - 13:08:48:
INFO - 13:08:48: *** Start MDOScenario execution ***
INFO - 13:08:48: MDOScenario
INFO - 13:08:48: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 13:08:48: MDO formulation: DisciplinaryOpt
INFO - 13:08:48: Optimization problem:
INFO - 13:08:48: minimize obj(x)
INFO - 13:08:48: with respect to x
INFO - 13:08:48: subject to constraints:
INFO - 13:08:48: cstr(x) <= 0.0
INFO - 13:08:48: over the design space:
INFO - 13:08:48: +------+-------------+-------+-------------+-------+
INFO - 13:08:48: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:08:48: +------+-------------+-------+-------------+-------+
INFO - 13:08:48: | x | -1.5 | 0.5 | 1.5 | float |
INFO - 13:08:48: +------+-------------+-------+-------------+-------+
INFO - 13:08:48: Solving optimization problem with algorithm SLSQP:
INFO - 13:08:48: 10%|█ | 1/10 [00:00<00:00, 758.46 it/sec, obj=0.625]
INFO - 13:08:48: 20%|██ | 2/10 [00:00<00:00, 382.83 it/sec, obj=2.87]
INFO - 13:08:48: 30%|███ | 3/10 [00:00<00:00, 437.00 it/sec, obj=0.616]
INFO - 13:08:48: 40%|████ | 4/10 [00:00<00:00, 400.32 it/sec, obj=0.615]
INFO - 13:08:48: 50%|█████ | 5/10 [00:00<00:00, 379.14 it/sec, obj=0.615]
INFO - 13:08:48: 60%|██████ | 6/10 [00:00<00:00, 366.48 it/sec, obj=0.615]
INFO - 13:08:48: 70%|███████ | 7/10 [00:00<00:00, 359.51 it/sec, obj=0.615]
INFO - 13:08:48: Optimization result:
INFO - 13:08:48: Optimizer info:
INFO - 13:08:48: Status: None
INFO - 13:08:48: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:08:48: Number of calls to the objective function by the optimizer: 8
INFO - 13:08:48: Solution:
INFO - 13:08:48: The solution is feasible.
INFO - 13:08:48: Objective: 0.6150998205402526
INFO - 13:08:48: Standardized constraints:
INFO - 13:08:48: cstr = -0.7883188285028959
INFO - 13:08:48: Design space:
INFO - 13:08:48: +------+-------------+--------------------+-------------+-------+
INFO - 13:08:48: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:08:48: +------+-------------+--------------------+-------------+-------+
INFO - 13:08:48: | x | -1.5 | 0.5773503115686811 | 1.5 | float |
INFO - 13:08:48: +------+-------------+--------------------+-------------+-------+
INFO - 13:08:48: *** End MDOScenario execution (time: 0:00:00.032174) ***
INFO - 13:08:48: 70%|███████ | 7/10 [00:00<00:00, 23.67 it/sec, obj=0.615]
INFO - 13:08:48:
INFO - 13:08:48: *** Start MDOScenario execution ***
INFO - 13:08:48: MDOScenario
INFO - 13:08:48: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 13:08:48: MDO formulation: DisciplinaryOpt
INFO - 13:08:48: Optimization problem:
INFO - 13:08:48: minimize obj(x)
INFO - 13:08:48: with respect to x
INFO - 13:08:48: subject to constraints:
INFO - 13:08:48: cstr(x) <= 0.0
INFO - 13:08:48: over the design space:
INFO - 13:08:48: +------+-------------+--------------------+-------------+-------+
INFO - 13:08:48: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:08:48: +------+-------------+--------------------+-------------+-------+
INFO - 13:08:48: | x | -1.5 | 0.8333333333333335 | 1.5 | float |
INFO - 13:08:48: +------+-------------+--------------------+-------------+-------+
INFO - 13:08:48: Solving optimization problem with algorithm SLSQP:
INFO - 13:08:48: 10%|█ | 1/10 [00:00<00:00, 741.17 it/sec, obj=0.745]
INFO - 13:08:48: 20%|██ | 2/10 [00:00<00:00, 379.06 it/sec, obj=-0.875]
INFO - 13:08:48: 30%|███ | 3/10 [00:00<00:00, 374.49 it/sec, obj=-0.267]
INFO - 13:08:48: 40%|████ | 4/10 [00:00<00:00, 390.86 it/sec, obj=-0.809]
INFO - 13:08:48: 50%|█████ | 5/10 [00:00<00:00, 419.75 it/sec, obj=-0.868]
INFO - 13:08:48: 60%|██████ | 6/10 [00:00<00:00, 440.57 it/sec, obj=-0.874]
INFO - 13:08:48: 70%|███████ | 7/10 [00:00<00:00, 428.16 it/sec, obj=-0.266]
INFO - 13:08:48: 80%|████████ | 8/10 [00:00<00:00, 419.28 it/sec, obj=0.135]
INFO - 13:08:48: 90%|█████████ | 9/10 [00:00<00:00, 412.83 it/sec, obj=0.577]
INFO - 13:08:48: 100%|██████████| 10/10 [00:00<00:00, 426.79 it/sec, obj=0.288]
INFO - 13:08:48: Optimization result:
INFO - 13:08:48: Optimizer info:
INFO - 13:08:48: Status: None
INFO - 13:08:48: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 13:08:48: Number of calls to the objective function by the optimizer: 12
INFO - 13:08:48: Solution:
INFO - 13:08:48: The solution is feasible.
INFO - 13:08:48: Objective: 0.7453703703703706
INFO - 13:08:48: Standardized constraints:
INFO - 13:08:48: cstr = -0.2499785665294918
INFO - 13:08:48: Design space:
INFO - 13:08:48: +------+-------------+--------------------+-------------+-------+
INFO - 13:08:48: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:08:48: +------+-------------+--------------------+-------------+-------+
INFO - 13:08:48: | x | -1.5 | 0.8333333333333335 | 1.5 | float |
INFO - 13:08:48: +------+-------------+--------------------+-------------+-------+
INFO - 13:08:48: *** End MDOScenario execution (time: 0:00:00.037508) ***
INFO - 13:08:48: 80%|████████ | 8/10 [00:00<00:00, 23.84 it/sec, obj=0.745]
INFO - 13:08:48:
INFO - 13:08:48: *** Start MDOScenario execution ***
INFO - 13:08:48: MDOScenario
INFO - 13:08:48: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 13:08:48: MDO formulation: DisciplinaryOpt
INFO - 13:08:48: Optimization problem:
INFO - 13:08:48: minimize obj(x)
INFO - 13:08:48: with respect to x
INFO - 13:08:48: subject to constraints:
INFO - 13:08:48: cstr(x) <= 0.0
INFO - 13:08:48: over the design space:
INFO - 13:08:48: +------+-------------+-------------------+-------------+-------+
INFO - 13:08:48: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:08:48: +------+-------------+-------------------+-------------+-------+
INFO - 13:08:48: | x | -1.5 | 1.166666666666667 | 1.5 | float |
INFO - 13:08:48: +------+-------------+-------------------+-------------+-------+
INFO - 13:08:48: Solving optimization problem with algorithm SLSQP:
INFO - 13:08:48: 10%|█ | 1/10 [00:00<00:00, 611.33 it/sec, obj=1.42]
INFO - 13:08:48: 20%|██ | 2/10 [00:00<00:00, 301.22 it/sec, obj=-0.875]
INFO - 13:08:48: 30%|███ | 3/10 [00:00<00:00, 318.30 it/sec, obj=-0.267]
INFO - 13:08:48: 40%|████ | 4/10 [00:00<00:00, 346.31 it/sec, obj=-0.809]
INFO - 13:08:48: 50%|█████ | 5/10 [00:00<00:00, 374.10 it/sec, obj=-0.868]
INFO - 13:08:48: 60%|██████ | 6/10 [00:00<00:00, 398.18 it/sec, obj=-0.874]
INFO - 13:08:48: 70%|███████ | 7/10 [00:00<00:00, 386.05 it/sec, obj=-0.266]
INFO - 13:08:48: 80%|████████ | 8/10 [00:00<00:00, 354.00 it/sec, obj=0.135]
INFO - 13:08:48: 90%|█████████ | 9/10 [00:00<00:00, 354.60 it/sec, obj=0.577]
INFO - 13:08:48: 100%|██████████| 10/10 [00:00<00:00, 369.59 it/sec, obj=0.288]
WARNING - 13:08:48: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 13:08:48: Optimization result:
INFO - 13:08:48: Optimizer info:
INFO - 13:08:48: Status: None
INFO - 13:08:48: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 13:08:48: Number of calls to the objective function by the optimizer: 12
INFO - 13:08:48: Solution:
WARNING - 13:08:48: The solution is not feasible.
INFO - 13:08:48: Objective: 0.28811314244698893
INFO - 13:08:48: Standardized constraints:
INFO - 13:08:48: cstr = 0.1514407501016959
INFO - 13:08:48: Design space:
INFO - 13:08:48: +------+-------------+--------------------+-------------+-------+
INFO - 13:08:48: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:08:48: +------+-------------+--------------------+-------------+-------+
INFO - 13:08:48: | x | -1.5 | -1.252370379420967 | 1.5 | float |
INFO - 13:08:48: +------+-------------+--------------------+-------------+-------+
INFO - 13:08:48: *** End MDOScenario execution (time: 0:00:00.041520) ***
INFO - 13:08:48: 90%|█████████ | 9/10 [00:00<00:00, 23.77 it/sec, obj=0.288]
INFO - 13:08:48:
INFO - 13:08:48: *** Start MDOScenario execution ***
INFO - 13:08:48: MDOScenario
INFO - 13:08:48: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 13:08:48: MDO formulation: DisciplinaryOpt
INFO - 13:08:48: Optimization problem:
INFO - 13:08:48: minimize obj(x)
INFO - 13:08:48: with respect to x
INFO - 13:08:48: subject to constraints:
INFO - 13:08:48: cstr(x) <= 0.0
INFO - 13:08:48: over the design space:
INFO - 13:08:48: +------+-------------+-------+-------------+-------+
INFO - 13:08:48: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:08:48: +------+-------------+-------+-------------+-------+
INFO - 13:08:48: | x | -1.5 | 1.5 | 1.5 | float |
INFO - 13:08:48: +------+-------------+-------+-------------+-------+
INFO - 13:08:48: Solving optimization problem with algorithm SLSQP:
INFO - 13:08:48: 10%|█ | 1/10 [00:00<00:00, 729.82 it/sec, obj=2.88]
INFO - 13:08:48: 20%|██ | 2/10 [00:00<00:00, 351.37 it/sec, obj=-0.875]
INFO - 13:08:48: 30%|███ | 3/10 [00:00<00:00, 357.56 it/sec, obj=-0.267]
INFO - 13:08:48: 40%|████ | 4/10 [00:00<00:00, 393.54 it/sec, obj=-0.809]
INFO - 13:08:48: 50%|█████ | 5/10 [00:00<00:00, 408.82 it/sec, obj=-0.868]
INFO - 13:08:48: 60%|██████ | 6/10 [00:00<00:00, 428.72 it/sec, obj=-0.874]
INFO - 13:08:48: 70%|███████ | 7/10 [00:00<00:00, 417.27 it/sec, obj=-0.266]
INFO - 13:08:48: 80%|████████ | 8/10 [00:00<00:00, 400.54 it/sec, obj=0.135]
INFO - 13:08:48: 90%|█████████ | 9/10 [00:00<00:00, 394.98 it/sec, obj=0.577]
INFO - 13:08:48: 100%|██████████| 10/10 [00:00<00:00, 408.63 it/sec, obj=0.288]
WARNING - 13:08:48: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 13:08:48: Optimization result:
INFO - 13:08:48: Optimizer info:
INFO - 13:08:48: Status: None
INFO - 13:08:48: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 13:08:48: Number of calls to the objective function by the optimizer: 12
INFO - 13:08:48: Solution:
WARNING - 13:08:48: The solution is not feasible.
INFO - 13:08:48: Objective: 0.28811314244587316
INFO - 13:08:48: Standardized constraints:
INFO - 13:08:48: cstr = 0.15144075010180735
INFO - 13:08:48: Design space:
INFO - 13:08:48: +------+-------------+--------------------+-------------+-------+
INFO - 13:08:48: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:08:48: +------+-------------+--------------------+-------------+-------+
INFO - 13:08:48: | x | -1.5 | -1.252370379421268 | 1.5 | float |
INFO - 13:08:48: +------+-------------+--------------------+-------------+-------+
INFO - 13:08:48: *** End MDOScenario execution (time: 0:00:00.039261) ***
INFO - 13:08:48: 100%|██████████| 10/10 [00:00<00:00, 23.84 it/sec, obj=0.288]
INFO - 13:08:48: Optimization result:
INFO - 13:08:48: Optimizer info:
INFO - 13:08:48: Status: None
INFO - 13:08:48: Message: None
INFO - 13:08:48: Number of calls to the objective function by the optimizer: 10
INFO - 13:08:48: Solution:
INFO - 13:08:48: The solution is feasible.
INFO - 13:08:48: Objective: 0.6150998205402495
INFO - 13:08:48: Standardized constraints:
INFO - 13:08:48: cstr = -0.7883188793606977
INFO - 13:08:48: Design space:
INFO - 13:08:48: +------+-------------+---------------------+-------------+-------+
INFO - 13:08:48: | Name | Lower bound | Value | Upper bound | Type |
INFO - 13:08:48: +------+-------------+---------------------+-------------+-------+
INFO - 13:08:48: | x | -1.5 | -0.1666666666666667 | 1.5 | float |
INFO - 13:08:48: +------+-------------+---------------------+-------------+-------+
INFO - 13:08:48: *** End DOEScenario execution (time: 0:00:00.433810) ***
{'eval_jac': False, 'n_samples': 10, 'algo': 'fullfact'}
Plot the optimum objective for different x0¶
scenario_doe.post_process("BasicHistory", variable_names=["obj"], save=False, show=True)
<gemseo.post.basic_history.BasicHistory object at 0x7f8ba227b130>
Total running time of the script: (0 minutes 0.667 seconds)