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 - 00:11:18:
INFO - 00:11:18: *** Start DOEScenario execution ***
INFO - 00:11:18: DOEScenario
INFO - 00:11:18: Disciplines: MDOScenario_adapter
INFO - 00:11:18: MDO formulation: DisciplinaryOpt
INFO - 00:11:18: Optimization problem:
INFO - 00:11:18: minimize obj(x)
INFO - 00:11:18: with respect to x
INFO - 00:11:18: subject to constraints:
INFO - 00:11:18: cstr(x) <= 0.0
INFO - 00:11:18: over the design space:
INFO - 00:11:18: +------+-------------+-------+-------------+-------+
INFO - 00:11:18: | Name | Lower bound | Value | Upper bound | Type |
INFO - 00:11:18: +------+-------------+-------+-------------+-------+
INFO - 00:11:18: | x | -1.5 | 1.5 | 1.5 | float |
INFO - 00:11:18: +------+-------------+-------+-------------+-------+
INFO - 00:11:18: Solving optimization problem with algorithm fullfact:
INFO - 00:11:18:
INFO - 00:11:18: *** Start MDOScenario execution ***
INFO - 00:11:18: MDOScenario
INFO - 00:11:18: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 00:11:18: MDO formulation: DisciplinaryOpt
INFO - 00:11:18: Optimization problem:
INFO - 00:11:18: minimize obj(x)
INFO - 00:11:18: with respect to x
INFO - 00:11:18: subject to constraints:
INFO - 00:11:18: cstr(x) <= 0.0
INFO - 00:11:18: over the design space:
INFO - 00:11:18: +------+-------------+-------+-------------+-------+
INFO - 00:11:18: | Name | Lower bound | Value | Upper bound | Type |
INFO - 00:11:18: +------+-------------+-------+-------------+-------+
INFO - 00:11:18: | x | -1.5 | -1.5 | 1.5 | float |
INFO - 00:11:18: +------+-------------+-------+-------------+-------+
INFO - 00:11:18: Solving optimization problem with algorithm SLSQP:
INFO - 00:11:18: 10%|█ | 1/10 [00:00<00:00, 161.48 it/sec, obj=-0.875]
INFO - 00:11:18: 20%|██ | 2/10 [00:00<00:00, 191.85 it/sec, obj=-0.267]
INFO - 00:11:18: 30%|███ | 3/10 [00:00<00:00, 250.51 it/sec, obj=-0.809]
INFO - 00:11:18: 40%|████ | 4/10 [00:00<00:00, 294.39 it/sec, obj=-0.868]
INFO - 00:11:18: 50%|█████ | 5/10 [00:00<00:00, 328.91 it/sec, obj=-0.872]
INFO - 00:11:18: 60%|██████ | 6/10 [00:00<00:00, 337.51 it/sec, obj=-0.265]
INFO - 00:11:18: 70%|███████ | 7/10 [00:00<00:00, 341.59 it/sec, obj=0.136]
INFO - 00:11:18: 80%|████████ | 8/10 [00:00<00:00, 345.95 it/sec, obj=0.579]
INFO - 00:11:18: 90%|█████████ | 9/10 [00:00<00:00, 363.77 it/sec, obj=0.289]
INFO - 00:11:18: 100%|██████████| 10/10 [00:00<00:00, 364.85 it/sec, obj=1.25]
WARNING - 00:11:18: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 00:11:18: Optimization result:
INFO - 00:11:18: Optimizer info:
INFO - 00:11:18: Status: None
INFO - 00:11:18: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 00:11:18: Number of calls to the objective function by the optimizer: 12
INFO - 00:11:18: Solution:
WARNING - 00:11:18: The solution is not feasible.
INFO - 00:11:18: Objective: 0.2888129873625884
INFO - 00:11:18: Standardized constraints:
INFO - 00:11:18: cstr = 0.1513713660745195
INFO - 00:11:18: Design space:
INFO - 00:11:18: +------+-------------+--------------------+-------------+-------+
INFO - 00:11:18: | Name | Lower bound | Value | Upper bound | Type |
INFO - 00:11:18: +------+-------------+--------------------+-------------+-------+
INFO - 00:11:18: | x | -1.5 | -1.252181466244097 | 1.5 | float |
INFO - 00:11:18: +------+-------------+--------------------+-------------+-------+
INFO - 00:11:18: *** End MDOScenario execution (time: 0:00:00.040803) ***
INFO - 00:11:18: 10%|█ | 1/10 [00:00<00:00, 21.61 it/sec, obj=0.289]
INFO - 00:11:18:
INFO - 00:11:18: *** Start MDOScenario execution ***
INFO - 00:11:18: MDOScenario
INFO - 00:11:18: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 00:11:18: MDO formulation: DisciplinaryOpt
INFO - 00:11:18: Optimization problem:
INFO - 00:11:18: minimize obj(x)
INFO - 00:11:18: with respect to x
INFO - 00:11:18: subject to constraints:
INFO - 00:11:18: cstr(x) <= 0.0
INFO - 00:11:18: over the design space:
INFO - 00:11:18: +------+-------------+--------------------+-------------+-------+
INFO - 00:11:18: | Name | Lower bound | Value | Upper bound | Type |
INFO - 00:11:18: +------+-------------+--------------------+-------------+-------+
INFO - 00:11:18: | x | -1.5 | -1.166666666666667 | 1.5 | float |
INFO - 00:11:18: +------+-------------+--------------------+-------------+-------+
INFO - 00:11:18: Solving optimization problem with algorithm SLSQP:
INFO - 00:11:18: 10%|█ | 1/10 [00:00<00:00, 926.51 it/sec, obj=0.579]
INFO - 00:11:18: 20%|██ | 2/10 [00:00<00:00, 425.54 it/sec, obj=-0.875]
INFO - 00:11:18: 30%|███ | 3/10 [00:00<00:00, 416.83 it/sec, obj=-0.267]
INFO - 00:11:18: 40%|████ | 4/10 [00:00<00:00, 453.30 it/sec, obj=-0.809]
INFO - 00:11:18: 50%|█████ | 5/10 [00:00<00:00, 480.44 it/sec, obj=-0.868]
INFO - 00:11:18: 60%|██████ | 6/10 [00:00<00:00, 500.28 it/sec, obj=-0.874]
INFO - 00:11:18: 70%|███████ | 7/10 [00:00<00:00, 478.94 it/sec, obj=-0.266]
INFO - 00:11:18: 80%|████████ | 8/10 [00:00<00:00, 463.54 it/sec, obj=0.135]
INFO - 00:11:18: 90%|█████████ | 9/10 [00:00<00:00, 454.11 it/sec, obj=0.577]
INFO - 00:11:18: 100%|██████████| 10/10 [00:00<00:00, 467.64 it/sec, obj=0.288]
WARNING - 00:11:18: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 00:11:18: Optimization result:
INFO - 00:11:18: Optimizer info:
INFO - 00:11:18: Status: None
INFO - 00:11:18: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 00:11:18: Number of calls to the objective function by the optimizer: 12
INFO - 00:11:18: Solution:
WARNING - 00:11:18: The solution is not feasible.
INFO - 00:11:18: Objective: 0.28811314244670916
INFO - 00:11:18: Standardized constraints:
INFO - 00:11:18: cstr = 0.15144075010172386
INFO - 00:11:18: Design space:
INFO - 00:11:18: +------+-------------+--------------------+-------------+-------+
INFO - 00:11:18: | Name | Lower bound | Value | Upper bound | Type |
INFO - 00:11:18: +------+-------------+--------------------+-------------+-------+
INFO - 00:11:18: | x | -1.5 | -1.252370379421043 | 1.5 | float |
INFO - 00:11:18: +------+-------------+--------------------+-------------+-------+
INFO - 00:11:18: *** End MDOScenario execution (time: 0:00:00.033954) ***
INFO - 00:11:18: 20%|██ | 2/10 [00:00<00:00, 24.53 it/sec, obj=0.288]
INFO - 00:11:18:
INFO - 00:11:18: *** Start MDOScenario execution ***
INFO - 00:11:18: MDOScenario
INFO - 00:11:18: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 00:11:18: MDO formulation: DisciplinaryOpt
INFO - 00:11:18: Optimization problem:
INFO - 00:11:18: minimize obj(x)
INFO - 00:11:18: with respect to x
INFO - 00:11:18: subject to constraints:
INFO - 00:11:18: cstr(x) <= 0.0
INFO - 00:11:18: over the design space:
INFO - 00:11:18: +------+-------------+---------------------+-------------+-------+
INFO - 00:11:18: | Name | Lower bound | Value | Upper bound | Type |
INFO - 00:11:18: +------+-------------+---------------------+-------------+-------+
INFO - 00:11:18: | x | -1.5 | -0.8333333333333334 | 1.5 | float |
INFO - 00:11:18: +------+-------------+---------------------+-------------+-------+
INFO - 00:11:18: Solving optimization problem with algorithm SLSQP:
INFO - 00:11:18: 10%|█ | 1/10 [00:00<00:00, 934.98 it/sec, obj=1.25]
INFO - 00:11:18: 20%|██ | 2/10 [00:00<00:00, 441.32 it/sec, obj=-0.875]
INFO - 00:11:18: 30%|███ | 3/10 [00:00<00:00, 498.49 it/sec, obj=1.01]
INFO - 00:11:18: 40%|████ | 4/10 [00:00<00:00, 467.51 it/sec, obj=-0.875]
INFO - 00:11:18: 50%|█████ | 5/10 [00:00<00:00, 493.51 it/sec, obj=0.819]
INFO - 00:11:18: 60%|██████ | 6/10 [00:00<00:00, 474.47 it/sec, obj=-0.875]
INFO - 00:11:18: 70%|███████ | 7/10 [00:00<00:00, 486.31 it/sec, obj=0.693]
INFO - 00:11:18: 80%|████████ | 8/10 [00:00<00:00, 471.20 it/sec, obj=-0.875]
INFO - 00:11:18: 90%|█████████ | 9/10 [00:00<00:00, 483.75 it/sec, obj=0.584]
INFO - 00:11:18: 100%|██████████| 10/10 [00:00<00:00, 471.38 it/sec, obj=-0.875]
WARNING - 00:11:18: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 00:11:18: Optimization result:
INFO - 00:11:18: Optimizer info:
INFO - 00:11:18: Status: None
INFO - 00:11:18: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 00:11:18: Number of calls to the objective function by the optimizer: 12
INFO - 00:11:18: Solution:
WARNING - 00:11:18: The solution is not feasible.
INFO - 00:11:18: Objective: 0.5837798748832244
INFO - 00:11:18: Standardized constraints:
INFO - 00:11:18: cstr = 0.19806414473664136
INFO - 00:11:18: Design space:
INFO - 00:11:18: +------+-------------+--------------------+-------------+-------+
INFO - 00:11:18: | Name | Lower bound | Value | Upper bound | Type |
INFO - 00:11:18: +------+-------------+--------------------+-------------+-------+
INFO - 00:11:18: | x | -1.5 | -1.165017254128868 | 1.5 | float |
INFO - 00:11:18: +------+-------------+--------------------+-------------+-------+
INFO - 00:11:18: *** End MDOScenario execution (time: 0:00:00.032545) ***
INFO - 00:11:18: 30%|███ | 3/10 [00:00<00:00, 25.82 it/sec, obj=0.584]
INFO - 00:11:18:
INFO - 00:11:18: *** Start MDOScenario execution ***
INFO - 00:11:18: MDOScenario
INFO - 00:11:18: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 00:11:18: MDO formulation: DisciplinaryOpt
INFO - 00:11:18: Optimization problem:
INFO - 00:11:18: minimize obj(x)
INFO - 00:11:18: with respect to x
INFO - 00:11:18: subject to constraints:
INFO - 00:11:18: cstr(x) <= 0.0
INFO - 00:11:18: over the design space:
INFO - 00:11:18: +------+-------------+-------+-------------+-------+
INFO - 00:11:18: | Name | Lower bound | Value | Upper bound | Type |
INFO - 00:11:18: +------+-------------+-------+-------------+-------+
INFO - 00:11:18: | x | -1.5 | -0.5 | 1.5 | float |
INFO - 00:11:18: +------+-------------+-------+-------------+-------+
INFO - 00:11:18: Solving optimization problem with algorithm SLSQP:
INFO - 00:11:18: 10%|█ | 1/10 [00:00<00:00, 970.01 it/sec, obj=1.38]
INFO - 00:11:18: 20%|██ | 2/10 [00:00<00:00, 444.24 it/sec, obj=2.88]
INFO - 00:11:18: 30%|███ | 3/10 [00:00<00:00, 504.16 it/sec, obj=1.23]
INFO - 00:11:18: 40%|████ | 4/10 [00:00<00:00, 465.48 it/sec, obj=2.87]
INFO - 00:11:18: 50%|█████ | 5/10 [00:00<00:00, 493.91 it/sec, obj=0.848]
INFO - 00:11:18: 60%|██████ | 6/10 [00:00<00:00, 466.49 it/sec, obj=0.658]
INFO - 00:11:18: 70%|███████ | 7/10 [00:00<00:00, 440.96 it/sec, obj=0.643]
INFO - 00:11:18: 80%|████████ | 8/10 [00:00<00:00, 424.69 it/sec, obj=0.616]
INFO - 00:11:18: 90%|█████████ | 9/10 [00:00<00:00, 414.38 it/sec, obj=0.615]
INFO - 00:11:18: 100%|██████████| 10/10 [00:00<00:00, 406.15 it/sec, obj=0.615]
INFO - 00:11:18: Optimization result:
INFO - 00:11:18: Optimizer info:
INFO - 00:11:18: Status: None
INFO - 00:11:18: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 00:11:18: Number of calls to the objective function by the optimizer: 13
INFO - 00:11:18: Solution:
INFO - 00:11:18: The solution is feasible.
INFO - 00:11:18: Objective: 0.6150998219543254
INFO - 00:11:18: Standardized constraints:
INFO - 00:11:18: cstr = -0.788285881879476
INFO - 00:11:18: Design space:
INFO - 00:11:18: +------+-------------+--------------------+-------------+-------+
INFO - 00:11:18: | Name | Lower bound | Value | Upper bound | Type |
INFO - 00:11:18: +------+-------------+--------------------+-------------+-------+
INFO - 00:11:18: | x | -1.5 | 0.5773788419679762 | 1.5 | float |
INFO - 00:11:18: +------+-------------+--------------------+-------------+-------+
INFO - 00:11:18: *** End MDOScenario execution (time: 0:00:00.036910) ***
INFO - 00:11:18: 40%|████ | 4/10 [00:00<00:00, 25.92 it/sec, obj=0.615]
INFO - 00:11:18:
INFO - 00:11:18: *** Start MDOScenario execution ***
INFO - 00:11:18: MDOScenario
INFO - 00:11:18: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 00:11:18: MDO formulation: DisciplinaryOpt
INFO - 00:11:18: Optimization problem:
INFO - 00:11:18: minimize obj(x)
INFO - 00:11:18: with respect to x
INFO - 00:11:18: subject to constraints:
INFO - 00:11:18: cstr(x) <= 0.0
INFO - 00:11:18: over the design space:
INFO - 00:11:18: +------+-------------+---------------------+-------------+-------+
INFO - 00:11:18: | Name | Lower bound | Value | Upper bound | Type |
INFO - 00:11:18: +------+-------------+---------------------+-------------+-------+
INFO - 00:11:18: | x | -1.5 | -0.1666666666666667 | 1.5 | float |
INFO - 00:11:18: +------+-------------+---------------------+-------------+-------+
INFO - 00:11:18: Solving optimization problem with algorithm SLSQP:
INFO - 00:11:18: 10%|█ | 1/10 [00:00<00:00, 952.60 it/sec, obj=1.16]
INFO - 00:11:18: 20%|██ | 2/10 [00:00<00:00, 438.07 it/sec, obj=2.87]
INFO - 00:11:18: 30%|███ | 3/10 [00:00<00:00, 497.41 it/sec, obj=0.785]
INFO - 00:11:18: 40%|████ | 4/10 [00:00<00:00, 443.34 it/sec, obj=2.88]
INFO - 00:11:18: 50%|█████ | 5/10 [00:00<00:00, 457.10 it/sec, obj=0.644]
INFO - 00:11:18: 60%|██████ | 6/10 [00:00<00:00, 433.50 it/sec, obj=0.624]
INFO - 00:11:18: 70%|███████ | 7/10 [00:00<00:00, 416.58 it/sec, obj=0.615]
INFO - 00:11:18: 80%|████████ | 8/10 [00:00<00:00, 404.59 it/sec, obj=0.615]
INFO - 00:11:18: 90%|█████████ | 9/10 [00:00<00:00, 395.36 it/sec, obj=0.615]
INFO - 00:11:18: 100%|██████████| 10/10 [00:00<00:00, 389.24 it/sec, obj=0.615]
INFO - 00:11:18: Optimization result:
INFO - 00:11:18: Optimizer info:
INFO - 00:11:18: Status: None
INFO - 00:11:18: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 00:11:18: Number of calls to the objective function by the optimizer: 12
INFO - 00:11:18: Solution:
INFO - 00:11:18: The solution is feasible.
INFO - 00:11:18: Objective: 0.6150998205402495
INFO - 00:11:18: Standardized constraints:
INFO - 00:11:18: cstr = -0.7883188793606977
INFO - 00:11:18: Design space:
INFO - 00:11:18: +------+-------------+--------------------+-------------+-------+
INFO - 00:11:18: | Name | Lower bound | Value | Upper bound | Type |
INFO - 00:11:18: +------+-------------+--------------------+-------------+-------+
INFO - 00:11:18: | x | -1.5 | 0.5773502675245377 | 1.5 | float |
INFO - 00:11:18: +------+-------------+--------------------+-------------+-------+
INFO - 00:11:18: *** End MDOScenario execution (time: 0:00:00.038216) ***
INFO - 00:11:18: 50%|█████ | 5/10 [00:00<00:00, 25.81 it/sec, obj=0.615]
INFO - 00:11:18:
INFO - 00:11:18: *** Start MDOScenario execution ***
INFO - 00:11:18: MDOScenario
INFO - 00:11:18: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 00:11:18: MDO formulation: DisciplinaryOpt
INFO - 00:11:18: Optimization problem:
INFO - 00:11:18: minimize obj(x)
INFO - 00:11:18: with respect to x
INFO - 00:11:18: subject to constraints:
INFO - 00:11:18: cstr(x) <= 0.0
INFO - 00:11:18: over the design space:
INFO - 00:11:18: +------+-------------+--------------------+-------------+-------+
INFO - 00:11:18: | Name | Lower bound | Value | Upper bound | Type |
INFO - 00:11:18: +------+-------------+--------------------+-------------+-------+
INFO - 00:11:18: | x | -1.5 | 0.1666666666666667 | 1.5 | float |
INFO - 00:11:18: +------+-------------+--------------------+-------------+-------+
INFO - 00:11:18: Solving optimization problem with algorithm SLSQP:
INFO - 00:11:18: 10%|█ | 1/10 [00:00<00:00, 904.72 it/sec, obj=0.838]
INFO - 00:11:18: 20%|██ | 2/10 [00:00<00:00, 435.16 it/sec, obj=2.88]
INFO - 00:11:18: 30%|███ | 3/10 [00:00<00:00, 496.23 it/sec, obj=0.656]
INFO - 00:11:18: 40%|████ | 4/10 [00:00<00:00, 447.43 it/sec, obj=0.639]
INFO - 00:11:18: 50%|█████ | 5/10 [00:00<00:00, 421.85 it/sec, obj=0.616]
INFO - 00:11:18: 60%|██████ | 6/10 [00:00<00:00, 405.08 it/sec, obj=0.615]
INFO - 00:11:18: 70%|███████ | 7/10 [00:00<00:00, 390.77 it/sec, obj=0.615]
INFO - 00:11:18: 80%|████████ | 8/10 [00:00<00:00, 382.89 it/sec, obj=0.615]
INFO - 00:11:18: 90%|█████████ | 9/10 [00:00<00:00, 378.73 it/sec, obj=0.615]
INFO - 00:11:18: Optimization result:
INFO - 00:11:18: Optimizer info:
INFO - 00:11:18: Status: None
INFO - 00:11:18: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 00:11:18: Number of calls to the objective function by the optimizer: 10
INFO - 00:11:18: Solution:
INFO - 00:11:18: The solution is feasible.
INFO - 00:11:18: Objective: 0.6150998205402508
INFO - 00:11:18: Standardized constraints:
INFO - 00:11:18: cstr = -0.7883189092934597
INFO - 00:11:18: Design space:
INFO - 00:11:18: +------+-------------+--------------------+-------------+-------+
INFO - 00:11:18: | Name | Lower bound | Value | Upper bound | Type |
INFO - 00:11:18: +------+-------------+--------------------+-------------+-------+
INFO - 00:11:18: | x | -1.5 | 0.5773502416020033 | 1.5 | float |
INFO - 00:11:18: +------+-------------+--------------------+-------------+-------+
INFO - 00:11:18: *** End MDOScenario execution (time: 0:00:00.034555) ***
INFO - 00:11:18: 60%|██████ | 6/10 [00:00<00:00, 26.05 it/sec, obj=0.615]
INFO - 00:11:18:
INFO - 00:11:18: *** Start MDOScenario execution ***
INFO - 00:11:18: MDOScenario
INFO - 00:11:18: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 00:11:18: MDO formulation: DisciplinaryOpt
INFO - 00:11:18: Optimization problem:
INFO - 00:11:18: minimize obj(x)
INFO - 00:11:18: with respect to x
INFO - 00:11:18: subject to constraints:
INFO - 00:11:18: cstr(x) <= 0.0
INFO - 00:11:18: over the design space:
INFO - 00:11:18: +------+-------------+-------+-------------+-------+
INFO - 00:11:18: | Name | Lower bound | Value | Upper bound | Type |
INFO - 00:11:18: +------+-------------+-------+-------------+-------+
INFO - 00:11:18: | x | -1.5 | 0.5 | 1.5 | float |
INFO - 00:11:18: +------+-------------+-------+-------------+-------+
INFO - 00:11:18: Solving optimization problem with algorithm SLSQP:
INFO - 00:11:18: 10%|█ | 1/10 [00:00<00:00, 923.86 it/sec, obj=0.625]
INFO - 00:11:18: 20%|██ | 2/10 [00:00<00:00, 431.93 it/sec, obj=2.87]
INFO - 00:11:18: 30%|███ | 3/10 [00:00<00:00, 489.68 it/sec, obj=0.616]
INFO - 00:11:18: 40%|████ | 4/10 [00:00<00:00, 435.29 it/sec, obj=0.615]
INFO - 00:11:18: 50%|█████ | 5/10 [00:00<00:00, 409.30 it/sec, obj=0.615]
INFO - 00:11:18: 60%|██████ | 6/10 [00:00<00:00, 397.97 it/sec, obj=0.615]
INFO - 00:11:18: 70%|███████ | 7/10 [00:00<00:00, 389.25 it/sec, obj=0.615]
INFO - 00:11:18: Optimization result:
INFO - 00:11:18: Optimizer info:
INFO - 00:11:18: Status: None
INFO - 00:11:18: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 00:11:18: Number of calls to the objective function by the optimizer: 8
INFO - 00:11:18: Solution:
INFO - 00:11:18: The solution is feasible.
INFO - 00:11:18: Objective: 0.6150998205402526
INFO - 00:11:18: Standardized constraints:
INFO - 00:11:18: cstr = -0.7883188285028959
INFO - 00:11:18: Design space:
INFO - 00:11:18: +------+-------------+--------------------+-------------+-------+
INFO - 00:11:18: | Name | Lower bound | Value | Upper bound | Type |
INFO - 00:11:18: +------+-------------+--------------------+-------------+-------+
INFO - 00:11:18: | x | -1.5 | 0.5773503115686811 | 1.5 | float |
INFO - 00:11:18: +------+-------------+--------------------+-------------+-------+
INFO - 00:11:18: *** End MDOScenario execution (time: 0:00:00.028645) ***
INFO - 00:11:18: 70%|███████ | 7/10 [00:00<00:00, 26.82 it/sec, obj=0.615]
INFO - 00:11:18:
INFO - 00:11:18: *** Start MDOScenario execution ***
INFO - 00:11:18: MDOScenario
INFO - 00:11:18: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 00:11:18: MDO formulation: DisciplinaryOpt
INFO - 00:11:18: Optimization problem:
INFO - 00:11:18: minimize obj(x)
INFO - 00:11:18: with respect to x
INFO - 00:11:18: subject to constraints:
INFO - 00:11:18: cstr(x) <= 0.0
INFO - 00:11:18: over the design space:
INFO - 00:11:18: +------+-------------+--------------------+-------------+-------+
INFO - 00:11:18: | Name | Lower bound | Value | Upper bound | Type |
INFO - 00:11:18: +------+-------------+--------------------+-------------+-------+
INFO - 00:11:18: | x | -1.5 | 0.8333333333333335 | 1.5 | float |
INFO - 00:11:18: +------+-------------+--------------------+-------------+-------+
INFO - 00:11:18: Solving optimization problem with algorithm SLSQP:
INFO - 00:11:18: 10%|█ | 1/10 [00:00<00:00, 950.44 it/sec, obj=0.745]
INFO - 00:11:18: 20%|██ | 2/10 [00:00<00:00, 436.34 it/sec, obj=-0.875]
INFO - 00:11:18: 30%|███ | 3/10 [00:00<00:00, 421.76 it/sec, obj=-0.267]
INFO - 00:11:18: 40%|████ | 4/10 [00:00<00:00, 438.25 it/sec, obj=-0.809]
INFO - 00:11:18: 50%|█████ | 5/10 [00:00<00:00, 463.97 it/sec, obj=-0.868]
INFO - 00:11:18: 60%|██████ | 6/10 [00:00<00:00, 486.98 it/sec, obj=-0.874]
INFO - 00:11:18: 70%|███████ | 7/10 [00:00<00:00, 468.14 it/sec, obj=-0.266]
INFO - 00:11:18: 80%|████████ | 8/10 [00:00<00:00, 453.23 it/sec, obj=0.135]
INFO - 00:11:18: 90%|█████████ | 9/10 [00:00<00:00, 445.15 it/sec, obj=0.577]
INFO - 00:11:18: 100%|██████████| 10/10 [00:00<00:00, 458.16 it/sec, obj=0.288]
INFO - 00:11:18: Optimization result:
INFO - 00:11:18: Optimizer info:
INFO - 00:11:18: Status: None
INFO - 00:11:18: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 00:11:18: Number of calls to the objective function by the optimizer: 12
INFO - 00:11:18: Solution:
INFO - 00:11:18: The solution is feasible.
INFO - 00:11:18: Objective: 0.7453703703703706
INFO - 00:11:18: Standardized constraints:
INFO - 00:11:18: cstr = -0.2499785665294918
INFO - 00:11:18: Design space:
INFO - 00:11:18: +------+-------------+--------------------+-------------+-------+
INFO - 00:11:18: | Name | Lower bound | Value | Upper bound | Type |
INFO - 00:11:18: +------+-------------+--------------------+-------------+-------+
INFO - 00:11:18: | x | -1.5 | 0.8333333333333335 | 1.5 | float |
INFO - 00:11:18: +------+-------------+--------------------+-------------+-------+
INFO - 00:11:18: *** End MDOScenario execution (time: 0:00:00.034011) ***
INFO - 00:11:18: 80%|████████ | 8/10 [00:00<00:00, 26.92 it/sec, obj=0.745]
INFO - 00:11:18:
INFO - 00:11:18: *** Start MDOScenario execution ***
INFO - 00:11:18: MDOScenario
INFO - 00:11:18: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 00:11:18: MDO formulation: DisciplinaryOpt
INFO - 00:11:18: Optimization problem:
INFO - 00:11:18: minimize obj(x)
INFO - 00:11:18: with respect to x
INFO - 00:11:18: subject to constraints:
INFO - 00:11:18: cstr(x) <= 0.0
INFO - 00:11:18: over the design space:
INFO - 00:11:18: +------+-------------+-------------------+-------------+-------+
INFO - 00:11:18: | Name | Lower bound | Value | Upper bound | Type |
INFO - 00:11:18: +------+-------------+-------------------+-------------+-------+
INFO - 00:11:18: | x | -1.5 | 1.166666666666667 | 1.5 | float |
INFO - 00:11:18: +------+-------------+-------------------+-------------+-------+
INFO - 00:11:18: Solving optimization problem with algorithm SLSQP:
INFO - 00:11:18: 10%|█ | 1/10 [00:00<00:00, 949.37 it/sec, obj=1.42]
INFO - 00:11:18: 20%|██ | 2/10 [00:00<00:00, 435.66 it/sec, obj=-0.875]
INFO - 00:11:18: 30%|███ | 3/10 [00:00<00:00, 421.20 it/sec, obj=-0.267]
INFO - 00:11:18: 40%|████ | 4/10 [00:00<00:00, 459.31 it/sec, obj=-0.809]
INFO - 00:11:18: 50%|█████ | 5/10 [00:00<00:00, 486.26 it/sec, obj=-0.868]
INFO - 00:11:18: 60%|██████ | 6/10 [00:00<00:00, 505.60 it/sec, obj=-0.874]
INFO - 00:11:18: 70%|███████ | 7/10 [00:00<00:00, 483.48 it/sec, obj=-0.266]
INFO - 00:11:18: 80%|████████ | 8/10 [00:00<00:00, 436.12 it/sec, obj=0.135]
INFO - 00:11:18: 90%|█████████ | 9/10 [00:00<00:00, 427.72 it/sec, obj=0.577]
INFO - 00:11:18: 100%|██████████| 10/10 [00:00<00:00, 441.11 it/sec, obj=0.288]
WARNING - 00:11:18: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 00:11:18: Optimization result:
INFO - 00:11:18: Optimizer info:
INFO - 00:11:18: Status: None
INFO - 00:11:18: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 00:11:18: Number of calls to the objective function by the optimizer: 12
INFO - 00:11:18: Solution:
WARNING - 00:11:18: The solution is not feasible.
INFO - 00:11:18: Objective: 0.28811314244698893
INFO - 00:11:18: Standardized constraints:
INFO - 00:11:18: cstr = 0.1514407501016959
INFO - 00:11:18: Design space:
INFO - 00:11:18: +------+-------------+--------------------+-------------+-------+
INFO - 00:11:18: | Name | Lower bound | Value | Upper bound | Type |
INFO - 00:11:18: +------+-------------+--------------------+-------------+-------+
INFO - 00:11:18: | x | -1.5 | -1.252370379420967 | 1.5 | float |
INFO - 00:11:18: +------+-------------+--------------------+-------------+-------+
INFO - 00:11:18: *** End MDOScenario execution (time: 0:00:00.035098) ***
INFO - 00:11:18: 90%|█████████ | 9/10 [00:00<00:00, 26.99 it/sec, obj=0.288]
INFO - 00:11:18:
INFO - 00:11:18: *** Start MDOScenario execution ***
INFO - 00:11:18: MDOScenario
INFO - 00:11:18: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 00:11:18: MDO formulation: DisciplinaryOpt
INFO - 00:11:18: Optimization problem:
INFO - 00:11:18: minimize obj(x)
INFO - 00:11:18: with respect to x
INFO - 00:11:18: subject to constraints:
INFO - 00:11:18: cstr(x) <= 0.0
INFO - 00:11:18: over the design space:
INFO - 00:11:18: +------+-------------+-------+-------------+-------+
INFO - 00:11:18: | Name | Lower bound | Value | Upper bound | Type |
INFO - 00:11:18: +------+-------------+-------+-------------+-------+
INFO - 00:11:18: | x | -1.5 | 1.5 | 1.5 | float |
INFO - 00:11:18: +------+-------------+-------+-------------+-------+
INFO - 00:11:18: Solving optimization problem with algorithm SLSQP:
INFO - 00:11:18: 10%|█ | 1/10 [00:00<00:00, 918.59 it/sec, obj=2.88]
INFO - 00:11:18: 20%|██ | 2/10 [00:00<00:00, 433.56 it/sec, obj=-0.875]
INFO - 00:11:18: 30%|███ | 3/10 [00:00<00:00, 420.50 it/sec, obj=-0.267]
INFO - 00:11:18: 40%|████ | 4/10 [00:00<00:00, 460.32 it/sec, obj=-0.809]
INFO - 00:11:18: 50%|█████ | 5/10 [00:00<00:00, 486.57 it/sec, obj=-0.868]
INFO - 00:11:18: 60%|██████ | 6/10 [00:00<00:00, 508.32 it/sec, obj=-0.874]
INFO - 00:11:18: 70%|███████ | 7/10 [00:00<00:00, 485.43 it/sec, obj=-0.266]
INFO - 00:11:18: 80%|████████ | 8/10 [00:00<00:00, 469.92 it/sec, obj=0.135]
INFO - 00:11:18: 90%|█████████ | 9/10 [00:00<00:00, 459.16 it/sec, obj=0.577]
INFO - 00:11:18: 100%|██████████| 10/10 [00:00<00:00, 472.04 it/sec, obj=0.288]
WARNING - 00:11:18: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 00:11:18: Optimization result:
INFO - 00:11:18: Optimizer info:
INFO - 00:11:18: Status: None
INFO - 00:11:18: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 00:11:18: Number of calls to the objective function by the optimizer: 12
INFO - 00:11:18: Solution:
WARNING - 00:11:18: The solution is not feasible.
INFO - 00:11:18: Objective: 0.28811314244587316
INFO - 00:11:18: Standardized constraints:
INFO - 00:11:18: cstr = 0.15144075010180735
INFO - 00:11:18: Design space:
INFO - 00:11:18: +------+-------------+--------------------+-------------+-------+
INFO - 00:11:18: | Name | Lower bound | Value | Upper bound | Type |
INFO - 00:11:18: +------+-------------+--------------------+-------------+-------+
INFO - 00:11:18: | x | -1.5 | -1.252370379421268 | 1.5 | float |
INFO - 00:11:18: +------+-------------+--------------------+-------------+-------+
INFO - 00:11:18: *** End MDOScenario execution (time: 0:00:00.033622) ***
INFO - 00:11:18: 100%|██████████| 10/10 [00:00<00:00, 27.15 it/sec, obj=0.288]
INFO - 00:11:18: Optimization result:
INFO - 00:11:18: Optimizer info:
INFO - 00:11:18: Status: None
INFO - 00:11:18: Message: None
INFO - 00:11:18: Number of calls to the objective function by the optimizer: 10
INFO - 00:11:18: Solution:
INFO - 00:11:18: The solution is feasible.
INFO - 00:11:18: Objective: 0.6150998205402495
INFO - 00:11:18: Standardized constraints:
INFO - 00:11:18: cstr = -0.7883188793606977
INFO - 00:11:18: Design space:
INFO - 00:11:18: +------+-------------+---------------------+-------------+-------+
INFO - 00:11:18: | Name | Lower bound | Value | Upper bound | Type |
INFO - 00:11:18: +------+-------------+---------------------+-------------+-------+
INFO - 00:11:18: | x | -1.5 | -0.1666666666666667 | 1.5 | float |
INFO - 00:11:18: +------+-------------+---------------------+-------------+-------+
INFO - 00:11:18: *** End DOEScenario execution (time: 0:00:00.380876) ***
{'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 0x7f8122b51160>
Total running time of the script: (0 minutes 0.583 seconds)