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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 - 08:59:35:
INFO - 08:59:35: *** Start DOEScenario execution ***
INFO - 08:59:35: DOEScenario
INFO - 08:59:35: Disciplines: MDOScenario_adapter
INFO - 08:59:35: MDO formulation: DisciplinaryOpt
INFO - 08:59:35: Optimization problem:
INFO - 08:59:35: minimize obj(x)
INFO - 08:59:35: with respect to x
INFO - 08:59:35: subject to constraints:
INFO - 08:59:35: cstr(x) <= 0.0
INFO - 08:59:35: over the design space:
INFO - 08:59:35: +------+-------------+-------+-------------+-------+
INFO - 08:59:35: | Name | Lower bound | Value | Upper bound | Type |
INFO - 08:59:35: +------+-------------+-------+-------------+-------+
INFO - 08:59:35: | x | -1.5 | 1.5 | 1.5 | float |
INFO - 08:59:35: +------+-------------+-------+-------------+-------+
INFO - 08:59:35: Solving optimization problem with algorithm fullfact:
INFO - 08:59:35:
INFO - 08:59:35: *** Start MDOScenario execution ***
INFO - 08:59:35: MDOScenario
INFO - 08:59:35: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 08:59:35: MDO formulation: DisciplinaryOpt
INFO - 08:59:35: Optimization problem:
INFO - 08:59:35: minimize obj(x)
INFO - 08:59:35: with respect to x
INFO - 08:59:35: subject to constraints:
INFO - 08:59:35: cstr(x) <= 0.0
INFO - 08:59:35: over the design space:
INFO - 08:59:35: +------+-------------+-------+-------------+-------+
INFO - 08:59:35: | Name | Lower bound | Value | Upper bound | Type |
INFO - 08:59:35: +------+-------------+-------+-------------+-------+
INFO - 08:59:35: | x | -1.5 | -1.5 | 1.5 | float |
INFO - 08:59:35: +------+-------------+-------+-------------+-------+
INFO - 08:59:35: Solving optimization problem with algorithm SLSQP:
INFO - 08:59:35: 10%|█ | 1/10 [00:00<00:00, 139.13 it/sec, obj=-0.875]
INFO - 08:59:35: 20%|██ | 2/10 [00:00<00:00, 170.05 it/sec, obj=-0.267]
INFO - 08:59:35: 30%|███ | 3/10 [00:00<00:00, 224.94 it/sec, obj=-0.809]
INFO - 08:59:35: 40%|████ | 4/10 [00:00<00:00, 266.44 it/sec, obj=-0.868]
INFO - 08:59:35: 50%|█████ | 5/10 [00:00<00:00, 301.52 it/sec, obj=-0.872]
INFO - 08:59:35: 60%|██████ | 6/10 [00:00<00:00, 311.48 it/sec, obj=-0.265]
INFO - 08:59:35: 70%|███████ | 7/10 [00:00<00:00, 319.95 it/sec, obj=0.136]
INFO - 08:59:35: 80%|████████ | 8/10 [00:00<00:00, 325.84 it/sec, obj=0.579]
INFO - 08:59:35: 90%|█████████ | 9/10 [00:00<00:00, 343.45 it/sec, obj=0.289]
INFO - 08:59:35: 100%|██████████| 10/10 [00:00<00:00, 347.25 it/sec, obj=1.25]
WARNING - 08:59:35: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 08:59:35: Optimization result:
INFO - 08:59:35: Optimizer info:
INFO - 08:59:35: Status: None
INFO - 08:59:35: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 08:59:35: Number of calls to the objective function by the optimizer: 12
INFO - 08:59:35: Solution:
WARNING - 08:59:35: The solution is not feasible.
INFO - 08:59:35: Objective: 0.2888129873625884
INFO - 08:59:35: Standardized constraints:
INFO - 08:59:35: cstr = 0.1513713660745195
INFO - 08:59:35: Design space:
INFO - 08:59:35: +------+-------------+--------------------+-------------+-------+
INFO - 08:59:35: | Name | Lower bound | Value | Upper bound | Type |
INFO - 08:59:35: +------+-------------+--------------------+-------------+-------+
INFO - 08:59:35: | x | -1.5 | -1.252181466244097 | 1.5 | float |
INFO - 08:59:35: +------+-------------+--------------------+-------------+-------+
INFO - 08:59:35: *** End MDOScenario execution (time: 0:00:00.044327) ***
INFO - 08:59:35: 10%|█ | 1/10 [00:00<00:00, 19.76 it/sec, obj=0.289]
INFO - 08:59:35:
INFO - 08:59:35: *** Start MDOScenario execution ***
INFO - 08:59:35: MDOScenario
INFO - 08:59:35: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 08:59:35: MDO formulation: DisciplinaryOpt
INFO - 08:59:35: Optimization problem:
INFO - 08:59:35: minimize obj(x)
INFO - 08:59:35: with respect to x
INFO - 08:59:35: subject to constraints:
INFO - 08:59:35: cstr(x) <= 0.0
INFO - 08:59:35: over the design space:
INFO - 08:59:35: +------+-------------+--------------------+-------------+-------+
INFO - 08:59:35: | Name | Lower bound | Value | Upper bound | Type |
INFO - 08:59:35: +------+-------------+--------------------+-------------+-------+
INFO - 08:59:35: | x | -1.5 | -1.166666666666667 | 1.5 | float |
INFO - 08:59:35: +------+-------------+--------------------+-------------+-------+
INFO - 08:59:35: Solving optimization problem with algorithm SLSQP:
INFO - 08:59:35: 10%|█ | 1/10 [00:00<00:00, 769.17 it/sec, obj=0.579]
INFO - 08:59:35: 20%|██ | 2/10 [00:00<00:00, 392.01 it/sec, obj=-0.875]
INFO - 08:59:35: 30%|███ | 3/10 [00:00<00:00, 389.43 it/sec, obj=-0.267]
INFO - 08:59:35: 40%|████ | 4/10 [00:00<00:00, 426.56 it/sec, obj=-0.809]
INFO - 08:59:35: 50%|█████ | 5/10 [00:00<00:00, 455.96 it/sec, obj=-0.868]
INFO - 08:59:35: 60%|██████ | 6/10 [00:00<00:00, 476.77 it/sec, obj=-0.874]
INFO - 08:59:35: 70%|███████ | 7/10 [00:00<00:00, 460.36 it/sec, obj=-0.266]
INFO - 08:59:35: 80%|████████ | 8/10 [00:00<00:00, 448.37 it/sec, obj=0.135]
INFO - 08:59:35: 90%|█████████ | 9/10 [00:00<00:00, 439.42 it/sec, obj=0.577]
INFO - 08:59:35: 100%|██████████| 10/10 [00:00<00:00, 453.84 it/sec, obj=0.288]
WARNING - 08:59:35: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 08:59:35: Optimization result:
INFO - 08:59:35: Optimizer info:
INFO - 08:59:35: Status: None
INFO - 08:59:35: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 08:59:35: Number of calls to the objective function by the optimizer: 12
INFO - 08:59:35: Solution:
WARNING - 08:59:35: The solution is not feasible.
INFO - 08:59:35: Objective: 0.28811314244670916
INFO - 08:59:35: Standardized constraints:
INFO - 08:59:35: cstr = 0.15144075010172386
INFO - 08:59:35: Design space:
INFO - 08:59:35: +------+-------------+--------------------+-------------+-------+
INFO - 08:59:35: | Name | Lower bound | Value | Upper bound | Type |
INFO - 08:59:35: +------+-------------+--------------------+-------------+-------+
INFO - 08:59:35: | x | -1.5 | -1.252370379421043 | 1.5 | float |
INFO - 08:59:35: +------+-------------+--------------------+-------------+-------+
INFO - 08:59:35: *** End MDOScenario execution (time: 0:00:00.036097) ***
INFO - 08:59:35: 20%|██ | 2/10 [00:00<00:00, 22.70 it/sec, obj=0.288]
INFO - 08:59:35:
INFO - 08:59:35: *** Start MDOScenario execution ***
INFO - 08:59:35: MDOScenario
INFO - 08:59:35: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 08:59:35: MDO formulation: DisciplinaryOpt
INFO - 08:59:35: Optimization problem:
INFO - 08:59:35: minimize obj(x)
INFO - 08:59:35: with respect to x
INFO - 08:59:35: subject to constraints:
INFO - 08:59:35: cstr(x) <= 0.0
INFO - 08:59:35: over the design space:
INFO - 08:59:35: +------+-------------+---------------------+-------------+-------+
INFO - 08:59:35: | Name | Lower bound | Value | Upper bound | Type |
INFO - 08:59:35: +------+-------------+---------------------+-------------+-------+
INFO - 08:59:35: | x | -1.5 | -0.8333333333333334 | 1.5 | float |
INFO - 08:59:35: +------+-------------+---------------------+-------------+-------+
INFO - 08:59:35: Solving optimization problem with algorithm SLSQP:
INFO - 08:59:35: 10%|█ | 1/10 [00:00<00:00, 766.64 it/sec, obj=1.25]
INFO - 08:59:35: 20%|██ | 2/10 [00:00<00:00, 387.07 it/sec, obj=-0.875]
INFO - 08:59:35: 30%|███ | 3/10 [00:00<00:00, 448.83 it/sec, obj=1.01]
INFO - 08:59:35: 40%|████ | 4/10 [00:00<00:00, 426.07 it/sec, obj=-0.875]
INFO - 08:59:35: 50%|█████ | 5/10 [00:00<00:00, 453.40 it/sec, obj=0.819]
INFO - 08:59:35: 60%|██████ | 6/10 [00:00<00:00, 433.22 it/sec, obj=-0.875]
INFO - 08:59:35: 70%|███████ | 7/10 [00:00<00:00, 452.10 it/sec, obj=0.693]
INFO - 08:59:35: 80%|████████ | 8/10 [00:00<00:00, 441.01 it/sec, obj=-0.875]
INFO - 08:59:35: 90%|█████████ | 9/10 [00:00<00:00, 455.20 it/sec, obj=0.584]
INFO - 08:59:35: 100%|██████████| 10/10 [00:00<00:00, 446.60 it/sec, obj=-0.875]
WARNING - 08:59:35: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 08:59:35: Optimization result:
INFO - 08:59:35: Optimizer info:
INFO - 08:59:35: Status: None
INFO - 08:59:35: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 08:59:35: Number of calls to the objective function by the optimizer: 12
INFO - 08:59:35: Solution:
WARNING - 08:59:35: The solution is not feasible.
INFO - 08:59:35: Objective: 0.5837798748832244
INFO - 08:59:35: Standardized constraints:
INFO - 08:59:35: cstr = 0.19806414473664136
INFO - 08:59:35: Design space:
INFO - 08:59:35: +------+-------------+--------------------+-------------+-------+
INFO - 08:59:35: | Name | Lower bound | Value | Upper bound | Type |
INFO - 08:59:35: +------+-------------+--------------------+-------------+-------+
INFO - 08:59:35: | x | -1.5 | -1.165017254128868 | 1.5 | float |
INFO - 08:59:35: +------+-------------+--------------------+-------------+-------+
INFO - 08:59:35: *** End MDOScenario execution (time: 0:00:00.035460) ***
INFO - 08:59:35: 30%|███ | 3/10 [00:00<00:00, 23.86 it/sec, obj=0.584]
INFO - 08:59:35:
INFO - 08:59:35: *** Start MDOScenario execution ***
INFO - 08:59:35: MDOScenario
INFO - 08:59:35: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 08:59:35: MDO formulation: DisciplinaryOpt
INFO - 08:59:35: Optimization problem:
INFO - 08:59:35: minimize obj(x)
INFO - 08:59:35: with respect to x
INFO - 08:59:35: subject to constraints:
INFO - 08:59:35: cstr(x) <= 0.0
INFO - 08:59:35: over the design space:
INFO - 08:59:35: +------+-------------+-------+-------------+-------+
INFO - 08:59:35: | Name | Lower bound | Value | Upper bound | Type |
INFO - 08:59:35: +------+-------------+-------+-------------+-------+
INFO - 08:59:35: | x | -1.5 | -0.5 | 1.5 | float |
INFO - 08:59:35: +------+-------------+-------+-------------+-------+
INFO - 08:59:35: Solving optimization problem with algorithm SLSQP:
INFO - 08:59:35: 10%|█ | 1/10 [00:00<00:00, 796.79 it/sec, obj=1.38]
INFO - 08:59:35: 20%|██ | 2/10 [00:00<00:00, 399.74 it/sec, obj=2.88]
INFO - 08:59:35: 30%|███ | 3/10 [00:00<00:00, 453.39 it/sec, obj=1.23]
INFO - 08:59:35: 40%|████ | 4/10 [00:00<00:00, 430.10 it/sec, obj=2.87]
INFO - 08:59:35: 50%|█████ | 5/10 [00:00<00:00, 457.78 it/sec, obj=0.848]
INFO - 08:59:35: 60%|██████ | 6/10 [00:00<00:00, 436.89 it/sec, obj=0.658]
INFO - 08:59:35: 70%|███████ | 7/10 [00:00<00:00, 418.23 it/sec, obj=0.643]
INFO - 08:59:35: 80%|████████ | 8/10 [00:00<00:00, 398.70 it/sec, obj=0.616]
INFO - 08:59:35: 90%|█████████ | 9/10 [00:00<00:00, 389.56 it/sec, obj=0.615]
INFO - 08:59:35: 100%|██████████| 10/10 [00:00<00:00, 382.85 it/sec, obj=0.615]
INFO - 08:59:35: Optimization result:
INFO - 08:59:35: Optimizer info:
INFO - 08:59:35: Status: None
INFO - 08:59:35: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 08:59:35: Number of calls to the objective function by the optimizer: 13
INFO - 08:59:35: Solution:
INFO - 08:59:35: The solution is feasible.
INFO - 08:59:35: Objective: 0.6150998219543254
INFO - 08:59:35: Standardized constraints:
INFO - 08:59:35: cstr = -0.788285881879476
INFO - 08:59:35: Design space:
INFO - 08:59:35: +------+-------------+--------------------+-------------+-------+
INFO - 08:59:35: | Name | Lower bound | Value | Upper bound | Type |
INFO - 08:59:35: +------+-------------+--------------------+-------------+-------+
INFO - 08:59:35: | x | -1.5 | 0.5773788419679762 | 1.5 | float |
INFO - 08:59:35: +------+-------------+--------------------+-------------+-------+
INFO - 08:59:35: *** End MDOScenario execution (time: 0:00:00.039787) ***
INFO - 08:59:35: 40%|████ | 4/10 [00:00<00:00, 23.97 it/sec, obj=0.615]
INFO - 08:59:35:
INFO - 08:59:35: *** Start MDOScenario execution ***
INFO - 08:59:35: MDOScenario
INFO - 08:59:35: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 08:59:35: MDO formulation: DisciplinaryOpt
INFO - 08:59:35: Optimization problem:
INFO - 08:59:35: minimize obj(x)
INFO - 08:59:35: with respect to x
INFO - 08:59:35: subject to constraints:
INFO - 08:59:35: cstr(x) <= 0.0
INFO - 08:59:35: over the design space:
INFO - 08:59:35: +------+-------------+---------------------+-------------+-------+
INFO - 08:59:35: | Name | Lower bound | Value | Upper bound | Type |
INFO - 08:59:35: +------+-------------+---------------------+-------------+-------+
INFO - 08:59:35: | x | -1.5 | -0.1666666666666667 | 1.5 | float |
INFO - 08:59:35: +------+-------------+---------------------+-------------+-------+
INFO - 08:59:35: Solving optimization problem with algorithm SLSQP:
INFO - 08:59:35: 10%|█ | 1/10 [00:00<00:00, 700.80 it/sec, obj=1.16]
INFO - 08:59:35: 20%|██ | 2/10 [00:00<00:00, 384.76 it/sec, obj=2.87]
INFO - 08:59:35: 30%|███ | 3/10 [00:00<00:00, 447.36 it/sec, obj=0.785]
INFO - 08:59:35: 40%|████ | 4/10 [00:00<00:00, 406.92 it/sec, obj=2.88]
INFO - 08:59:35: 50%|█████ | 5/10 [00:00<00:00, 421.33 it/sec, obj=0.644]
INFO - 08:59:35: 60%|██████ | 6/10 [00:00<00:00, 402.40 it/sec, obj=0.624]
INFO - 08:59:35: 70%|███████ | 7/10 [00:00<00:00, 389.28 it/sec, obj=0.615]
INFO - 08:59:35: 80%|████████ | 8/10 [00:00<00:00, 381.30 it/sec, obj=0.615]
INFO - 08:59:35: 90%|█████████ | 9/10 [00:00<00:00, 376.22 it/sec, obj=0.615]
INFO - 08:59:35: 100%|██████████| 10/10 [00:00<00:00, 371.36 it/sec, obj=0.615]
INFO - 08:59:35: Optimization result:
INFO - 08:59:35: Optimizer info:
INFO - 08:59:35: Status: None
INFO - 08:59:35: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 08:59:35: Number of calls to the objective function by the optimizer: 12
INFO - 08:59:35: Solution:
INFO - 08:59:35: The solution is feasible.
INFO - 08:59:35: Objective: 0.6150998205402495
INFO - 08:59:35: Standardized constraints:
INFO - 08:59:35: cstr = -0.7883188793606977
INFO - 08:59:35: Design space:
INFO - 08:59:35: +------+-------------+--------------------+-------------+-------+
INFO - 08:59:35: | Name | Lower bound | Value | Upper bound | Type |
INFO - 08:59:35: +------+-------------+--------------------+-------------+-------+
INFO - 08:59:35: | x | -1.5 | 0.5773502675245377 | 1.5 | float |
INFO - 08:59:35: +------+-------------+--------------------+-------------+-------+
INFO - 08:59:35: *** End MDOScenario execution (time: 0:00:00.040942) ***
INFO - 08:59:35: 50%|█████ | 5/10 [00:00<00:00, 23.91 it/sec, obj=0.615]
INFO - 08:59:35:
INFO - 08:59:35: *** Start MDOScenario execution ***
INFO - 08:59:35: MDOScenario
INFO - 08:59:35: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 08:59:35: MDO formulation: DisciplinaryOpt
INFO - 08:59:35: Optimization problem:
INFO - 08:59:35: minimize obj(x)
INFO - 08:59:35: with respect to x
INFO - 08:59:35: subject to constraints:
INFO - 08:59:35: cstr(x) <= 0.0
INFO - 08:59:35: over the design space:
INFO - 08:59:35: +------+-------------+--------------------+-------------+-------+
INFO - 08:59:35: | Name | Lower bound | Value | Upper bound | Type |
INFO - 08:59:35: +------+-------------+--------------------+-------------+-------+
INFO - 08:59:35: | x | -1.5 | 0.1666666666666667 | 1.5 | float |
INFO - 08:59:35: +------+-------------+--------------------+-------------+-------+
INFO - 08:59:35: Solving optimization problem with algorithm SLSQP:
INFO - 08:59:35: 10%|█ | 1/10 [00:00<00:00, 781.50 it/sec, obj=0.838]
INFO - 08:59:35: 20%|██ | 2/10 [00:00<00:00, 396.32 it/sec, obj=2.88]
INFO - 08:59:35: 30%|███ | 3/10 [00:00<00:00, 453.45 it/sec, obj=0.656]
INFO - 08:59:35: 40%|████ | 4/10 [00:00<00:00, 414.02 it/sec, obj=0.639]
INFO - 08:59:35: 50%|█████ | 5/10 [00:00<00:00, 394.08 it/sec, obj=0.616]
INFO - 08:59:35: 60%|██████ | 6/10 [00:00<00:00, 380.67 it/sec, obj=0.615]
INFO - 08:59:35: 70%|███████ | 7/10 [00:00<00:00, 367.55 it/sec, obj=0.615]
INFO - 08:59:35: 80%|████████ | 8/10 [00:00<00:00, 362.14 it/sec, obj=0.615]
INFO - 08:59:35: 90%|█████████ | 9/10 [00:00<00:00, 357.89 it/sec, obj=0.615]
INFO - 08:59:35: Optimization result:
INFO - 08:59:35: Optimizer info:
INFO - 08:59:35: Status: None
INFO - 08:59:35: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 08:59:35: Number of calls to the objective function by the optimizer: 10
INFO - 08:59:35: Solution:
INFO - 08:59:35: The solution is feasible.
INFO - 08:59:35: Objective: 0.6150998205402508
INFO - 08:59:35: Standardized constraints:
INFO - 08:59:35: cstr = -0.7883189092934597
INFO - 08:59:35: Design space:
INFO - 08:59:35: +------+-------------+--------------------+-------------+-------+
INFO - 08:59:35: | Name | Lower bound | Value | Upper bound | Type |
INFO - 08:59:35: +------+-------------+--------------------+-------------+-------+
INFO - 08:59:35: | x | -1.5 | 0.5773502416020033 | 1.5 | float |
INFO - 08:59:35: +------+-------------+--------------------+-------------+-------+
INFO - 08:59:35: *** End MDOScenario execution (time: 0:00:00.037247) ***
INFO - 08:59:35: 60%|██████ | 6/10 [00:00<00:00, 24.14 it/sec, obj=0.615]
INFO - 08:59:35:
INFO - 08:59:35: *** Start MDOScenario execution ***
INFO - 08:59:35: MDOScenario
INFO - 08:59:35: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 08:59:35: MDO formulation: DisciplinaryOpt
INFO - 08:59:35: Optimization problem:
INFO - 08:59:35: minimize obj(x)
INFO - 08:59:35: with respect to x
INFO - 08:59:35: subject to constraints:
INFO - 08:59:35: cstr(x) <= 0.0
INFO - 08:59:35: over the design space:
INFO - 08:59:35: +------+-------------+-------+-------------+-------+
INFO - 08:59:35: | Name | Lower bound | Value | Upper bound | Type |
INFO - 08:59:35: +------+-------------+-------+-------------+-------+
INFO - 08:59:35: | x | -1.5 | 0.5 | 1.5 | float |
INFO - 08:59:35: +------+-------------+-------+-------------+-------+
INFO - 08:59:35: Solving optimization problem with algorithm SLSQP:
INFO - 08:59:35: 10%|█ | 1/10 [00:00<00:00, 801.82 it/sec, obj=0.625]
INFO - 08:59:35: 20%|██ | 2/10 [00:00<00:00, 398.32 it/sec, obj=2.87]
INFO - 08:59:35: 30%|███ | 3/10 [00:00<00:00, 457.44 it/sec, obj=0.616]
INFO - 08:59:35: 40%|████ | 4/10 [00:00<00:00, 412.65 it/sec, obj=0.615]
INFO - 08:59:35: 50%|█████ | 5/10 [00:00<00:00, 390.26 it/sec, obj=0.615]
INFO - 08:59:35: 60%|██████ | 6/10 [00:00<00:00, 376.24 it/sec, obj=0.615]
INFO - 08:59:35: 70%|███████ | 7/10 [00:00<00:00, 368.35 it/sec, obj=0.615]
INFO - 08:59:35: Optimization result:
INFO - 08:59:35: Optimizer info:
INFO - 08:59:35: Status: None
INFO - 08:59:35: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 08:59:35: Number of calls to the objective function by the optimizer: 8
INFO - 08:59:35: Solution:
INFO - 08:59:35: The solution is feasible.
INFO - 08:59:35: Objective: 0.6150998205402526
INFO - 08:59:35: Standardized constraints:
INFO - 08:59:35: cstr = -0.7883188285028959
INFO - 08:59:35: Design space:
INFO - 08:59:35: +------+-------------+--------------------+-------------+-------+
INFO - 08:59:35: | Name | Lower bound | Value | Upper bound | Type |
INFO - 08:59:35: +------+-------------+--------------------+-------------+-------+
INFO - 08:59:35: | x | -1.5 | 0.5773503115686811 | 1.5 | float |
INFO - 08:59:35: +------+-------------+--------------------+-------------+-------+
INFO - 08:59:35: *** End MDOScenario execution (time: 0:00:00.031072) ***
INFO - 08:59:35: 70%|███████ | 7/10 [00:00<00:00, 24.83 it/sec, obj=0.615]
INFO - 08:59:35:
INFO - 08:59:35: *** Start MDOScenario execution ***
INFO - 08:59:35: MDOScenario
INFO - 08:59:35: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 08:59:35: MDO formulation: DisciplinaryOpt
INFO - 08:59:35: Optimization problem:
INFO - 08:59:35: minimize obj(x)
INFO - 08:59:35: with respect to x
INFO - 08:59:35: subject to constraints:
INFO - 08:59:35: cstr(x) <= 0.0
INFO - 08:59:35: over the design space:
INFO - 08:59:35: +------+-------------+--------------------+-------------+-------+
INFO - 08:59:35: | Name | Lower bound | Value | Upper bound | Type |
INFO - 08:59:35: +------+-------------+--------------------+-------------+-------+
INFO - 08:59:35: | x | -1.5 | 0.8333333333333335 | 1.5 | float |
INFO - 08:59:35: +------+-------------+--------------------+-------------+-------+
INFO - 08:59:35: Solving optimization problem with algorithm SLSQP:
INFO - 08:59:35: 10%|█ | 1/10 [00:00<00:00, 757.37 it/sec, obj=0.745]
INFO - 08:59:35: 20%|██ | 2/10 [00:00<00:00, 384.62 it/sec, obj=-0.875]
INFO - 08:59:35: 30%|███ | 3/10 [00:00<00:00, 381.84 it/sec, obj=-0.267]
INFO - 08:59:35: 40%|████ | 4/10 [00:00<00:00, 403.32 it/sec, obj=-0.809]
INFO - 08:59:35: 50%|█████ | 5/10 [00:00<00:00, 433.49 it/sec, obj=-0.868]
INFO - 08:59:35: 60%|██████ | 6/10 [00:00<00:00, 455.62 it/sec, obj=-0.874]
INFO - 08:59:35: 70%|███████ | 7/10 [00:00<00:00, 442.82 it/sec, obj=-0.266]
INFO - 08:59:35: 80%|████████ | 8/10 [00:00<00:00, 435.04 it/sec, obj=0.135]
INFO - 08:59:35: 90%|█████████ | 9/10 [00:00<00:00, 429.11 it/sec, obj=0.577]
INFO - 08:59:35: 100%|██████████| 10/10 [00:00<00:00, 444.16 it/sec, obj=0.288]
INFO - 08:59:35: Optimization result:
INFO - 08:59:35: Optimizer info:
INFO - 08:59:35: Status: None
INFO - 08:59:35: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 08:59:35: Number of calls to the objective function by the optimizer: 12
INFO - 08:59:35: Solution:
INFO - 08:59:35: The solution is feasible.
INFO - 08:59:35: Objective: 0.7453703703703706
INFO - 08:59:35: Standardized constraints:
INFO - 08:59:35: cstr = -0.2499785665294918
INFO - 08:59:35: Design space:
INFO - 08:59:35: +------+-------------+--------------------+-------------+-------+
INFO - 08:59:35: | Name | Lower bound | Value | Upper bound | Type |
INFO - 08:59:35: +------+-------------+--------------------+-------------+-------+
INFO - 08:59:35: | x | -1.5 | 0.8333333333333335 | 1.5 | float |
INFO - 08:59:35: +------+-------------+--------------------+-------------+-------+
INFO - 08:59:35: *** End MDOScenario execution (time: 0:00:00.036433) ***
INFO - 08:59:35: 80%|████████ | 8/10 [00:00<00:00, 24.96 it/sec, obj=0.745]
INFO - 08:59:35:
INFO - 08:59:35: *** Start MDOScenario execution ***
INFO - 08:59:35: MDOScenario
INFO - 08:59:35: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 08:59:35: MDO formulation: DisciplinaryOpt
INFO - 08:59:35: Optimization problem:
INFO - 08:59:35: minimize obj(x)
INFO - 08:59:35: with respect to x
INFO - 08:59:35: subject to constraints:
INFO - 08:59:35: cstr(x) <= 0.0
INFO - 08:59:35: over the design space:
INFO - 08:59:35: +------+-------------+-------------------+-------------+-------+
INFO - 08:59:35: | Name | Lower bound | Value | Upper bound | Type |
INFO - 08:59:35: +------+-------------+-------------------+-------------+-------+
INFO - 08:59:35: | x | -1.5 | 1.166666666666667 | 1.5 | float |
INFO - 08:59:35: +------+-------------+-------------------+-------------+-------+
INFO - 08:59:35: Solving optimization problem with algorithm SLSQP:
INFO - 08:59:35: 10%|█ | 1/10 [00:00<00:00, 796.19 it/sec, obj=1.42]
INFO - 08:59:35: 20%|██ | 2/10 [00:00<00:00, 399.17 it/sec, obj=-0.875]
INFO - 08:59:35: 30%|███ | 3/10 [00:00<00:00, 393.46 it/sec, obj=-0.267]
INFO - 08:59:35: 40%|████ | 4/10 [00:00<00:00, 433.98 it/sec, obj=-0.809]
INFO - 08:59:35: 50%|█████ | 5/10 [00:00<00:00, 463.55 it/sec, obj=-0.868]
INFO - 08:59:35: 60%|██████ | 6/10 [00:00<00:00, 484.99 it/sec, obj=-0.874]
INFO - 08:59:35: 70%|███████ | 7/10 [00:00<00:00, 465.97 it/sec, obj=-0.266]
INFO - 08:59:35: 80%|████████ | 8/10 [00:00<00:00, 420.17 it/sec, obj=0.135]
INFO - 08:59:35: 90%|█████████ | 9/10 [00:00<00:00, 416.18 it/sec, obj=0.577]
INFO - 08:59:35: 100%|██████████| 10/10 [00:00<00:00, 430.65 it/sec, obj=0.288]
WARNING - 08:59:35: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 08:59:35: Optimization result:
INFO - 08:59:35: Optimizer info:
INFO - 08:59:35: Status: None
INFO - 08:59:35: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 08:59:35: Number of calls to the objective function by the optimizer: 12
INFO - 08:59:35: Solution:
WARNING - 08:59:35: The solution is not feasible.
INFO - 08:59:35: Objective: 0.28811314244698893
INFO - 08:59:35: Standardized constraints:
INFO - 08:59:35: cstr = 0.1514407501016959
INFO - 08:59:35: Design space:
INFO - 08:59:35: +------+-------------+--------------------+-------------+-------+
INFO - 08:59:35: | Name | Lower bound | Value | Upper bound | Type |
INFO - 08:59:35: +------+-------------+--------------------+-------------+-------+
INFO - 08:59:35: | x | -1.5 | -1.252370379420967 | 1.5 | float |
INFO - 08:59:35: +------+-------------+--------------------+-------------+-------+
INFO - 08:59:35: *** End MDOScenario execution (time: 0:00:00.036881) ***
INFO - 08:59:35: 90%|█████████ | 9/10 [00:00<00:00, 25.10 it/sec, obj=0.288]
INFO - 08:59:35:
INFO - 08:59:35: *** Start MDOScenario execution ***
INFO - 08:59:35: MDOScenario
INFO - 08:59:35: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 08:59:35: MDO formulation: DisciplinaryOpt
INFO - 08:59:35: Optimization problem:
INFO - 08:59:35: minimize obj(x)
INFO - 08:59:35: with respect to x
INFO - 08:59:35: subject to constraints:
INFO - 08:59:35: cstr(x) <= 0.0
INFO - 08:59:35: over the design space:
INFO - 08:59:35: +------+-------------+-------+-------------+-------+
INFO - 08:59:35: | Name | Lower bound | Value | Upper bound | Type |
INFO - 08:59:35: +------+-------------+-------+-------------+-------+
INFO - 08:59:35: | x | -1.5 | 1.5 | 1.5 | float |
INFO - 08:59:35: +------+-------------+-------+-------------+-------+
INFO - 08:59:35: Solving optimization problem with algorithm SLSQP:
INFO - 08:59:35: 10%|█ | 1/10 [00:00<00:00, 769.88 it/sec, obj=2.88]
INFO - 08:59:35: 20%|██ | 2/10 [00:00<00:00, 399.44 it/sec, obj=-0.875]
INFO - 08:59:35: 30%|███ | 3/10 [00:00<00:00, 396.10 it/sec, obj=-0.267]
INFO - 08:59:35: 40%|████ | 4/10 [00:00<00:00, 432.51 it/sec, obj=-0.809]
INFO - 08:59:35: 50%|█████ | 5/10 [00:00<00:00, 462.07 it/sec, obj=-0.868]
INFO - 08:59:35: 60%|██████ | 6/10 [00:00<00:00, 483.98 it/sec, obj=-0.874]
INFO - 08:59:35: 70%|███████ | 7/10 [00:00<00:00, 464.70 it/sec, obj=-0.266]
INFO - 08:59:35: 80%|████████ | 8/10 [00:00<00:00, 452.79 it/sec, obj=0.135]
INFO - 08:59:35: 90%|█████████ | 9/10 [00:00<00:00, 443.88 it/sec, obj=0.577]
INFO - 08:59:35: 100%|██████████| 10/10 [00:00<00:00, 456.78 it/sec, obj=0.288]
WARNING - 08:59:35: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 08:59:35: Optimization result:
INFO - 08:59:35: Optimizer info:
INFO - 08:59:35: Status: None
INFO - 08:59:35: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 08:59:35: Number of calls to the objective function by the optimizer: 12
INFO - 08:59:35: Solution:
WARNING - 08:59:35: The solution is not feasible.
INFO - 08:59:35: Objective: 0.28811314244587316
INFO - 08:59:35: Standardized constraints:
INFO - 08:59:35: cstr = 0.15144075010180735
INFO - 08:59:35: Design space:
INFO - 08:59:35: +------+-------------+--------------------+-------------+-------+
INFO - 08:59:35: | Name | Lower bound | Value | Upper bound | Type |
INFO - 08:59:35: +------+-------------+--------------------+-------------+-------+
INFO - 08:59:35: | x | -1.5 | -1.252370379421268 | 1.5 | float |
INFO - 08:59:35: +------+-------------+--------------------+-------------+-------+
INFO - 08:59:35: *** End MDOScenario execution (time: 0:00:00.035603) ***
INFO - 08:59:35: 100%|██████████| 10/10 [00:00<00:00, 25.28 it/sec, obj=0.288]
INFO - 08:59:35: Optimization result:
INFO - 08:59:35: Optimizer info:
INFO - 08:59:35: Status: None
INFO - 08:59:35: Message: None
INFO - 08:59:35: Number of calls to the objective function by the optimizer: 10
INFO - 08:59:35: Solution:
INFO - 08:59:35: The solution is feasible.
INFO - 08:59:35: Objective: 0.6150998205402495
INFO - 08:59:35: Standardized constraints:
INFO - 08:59:35: cstr = -0.7883188793606977
INFO - 08:59:35: Design space:
INFO - 08:59:35: +------+-------------+---------------------+-------------+-------+
INFO - 08:59:35: | Name | Lower bound | Value | Upper bound | Type |
INFO - 08:59:35: +------+-------------+---------------------+-------------+-------+
INFO - 08:59:35: | x | -1.5 | -0.1666666666666667 | 1.5 | float |
INFO - 08:59:35: +------+-------------+---------------------+-------------+-------+
INFO - 08:59:35: *** End DOEScenario execution (time: 0:00:00.409205) ***
{'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 0x7f8ae7bb9a00>
Total running time of the script: (0 minutes 0.633 seconds)