Note
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Multistart optimization¶
Runs simple optimization problem with multiple starting points
Nests a MDOScenario in a DOEScenario
using a MDOScenarioAdapter.
from __future__ import annotations
from gemseo.api import configure_logger
from gemseo.api import create_design_space
from gemseo.api import create_discipline
from gemseo.api import create_scenario
from gemseo.disciplines.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],
formulation="DisciplinaryOpt",
objective_name="obj",
design_space=design_space,
)
scenario.default_inputs = {"algo": "SLSQP", "max_iter": 10}
scenario.add_constraint("cstr", "ineq")
Create the scenario adapter¶
dv_names = scenario.formulation.opt_problem.design_space.variables_names
adapter = MDOScenarioAdapter(
scenario, dv_names, ["obj", "cstr"], set_x0_before_opt=True
)
Create the DOE scenario¶
scenario_doe = create_scenario(
adapter,
formulation="DisciplinaryOpt",
objective_name="obj",
design_space=design_space,
scenario_type="DOE",
)
scenario_doe.add_constraint("cstr", "ineq")
run_inputs = {"n_samples": 10, "algo": "fullfact"}
scenario_doe.execute(run_inputs)
INFO - 15:59:54:
INFO - 15:59:54: *** Start DOEScenario execution ***
INFO - 15:59:54: DOEScenario
INFO - 15:59:54: Disciplines: MDOScenario_adapter
INFO - 15:59:54: MDO formulation: DisciplinaryOpt
INFO - 15:59:54: Optimization problem:
INFO - 15:59:54: minimize obj(x)
INFO - 15:59:54: with respect to x
INFO - 15:59:54: subject to constraints:
INFO - 15:59:54: cstr(x) <= 0.0
INFO - 15:59:54: over the design space:
INFO - 15:59:54: +------+-------------+-------+-------------+-------+
INFO - 15:59:54: | name | lower_bound | value | upper_bound | type |
INFO - 15:59:54: +------+-------------+-------+-------------+-------+
INFO - 15:59:54: | x | -1.5 | 1.5 | 1.5 | float |
INFO - 15:59:54: +------+-------------+-------+-------------+-------+
INFO - 15:59:54: Solving optimization problem with algorithm fullfact:
INFO - 15:59:54: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 15:59:54:
INFO - 15:59:54: *** Start MDOScenario execution ***
INFO - 15:59:54: MDOScenario
INFO - 15:59:54: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 15:59:54: MDO formulation: DisciplinaryOpt
INFO - 15:59:54: Optimization problem:
INFO - 15:59:54: minimize obj(x)
INFO - 15:59:54: with respect to x
INFO - 15:59:54: subject to constraints:
INFO - 15:59:54: cstr(x) <= 0.0
INFO - 15:59:54: over the design space:
INFO - 15:59:54: +------+-------------+-------+-------------+-------+
INFO - 15:59:54: | name | lower_bound | value | upper_bound | type |
INFO - 15:59:54: +------+-------------+-------+-------------+-------+
INFO - 15:59:54: | x | -1.5 | -1.5 | 1.5 | float |
INFO - 15:59:54: +------+-------------+-------+-------------+-------+
INFO - 15:59:54: Solving optimization problem with algorithm SLSQP:
INFO - 15:59:54: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 15:59:54:
INFO - 15:59:54: ... 10%|█ | 1/10 [00:00<00:00, 133.64 it/sec, obj=-.875]
INFO - 15:59:54:
INFO - 15:59:54: ... 20%|██ | 2/10 [00:00<00:00, 168.60 it/sec, obj=-.267]
INFO - 15:59:54:
INFO - 15:59:54: ... 30%|███ | 3/10 [00:00<00:00, 223.01 it/sec, obj=-.809]
INFO - 15:59:54:
INFO - 15:59:54: ... 40%|████ | 4/10 [00:00<00:00, 264.42 it/sec, obj=-.868]
INFO - 15:59:54:
INFO - 15:59:54: ... 50%|█████ | 5/10 [00:00<00:00, 298.20 it/sec, obj=-.872]
INFO - 15:59:54:
INFO - 15:59:54: ... 60%|██████ | 6/10 [00:00<00:00, 307.94 it/sec, obj=-.265]
INFO - 15:59:54:
INFO - 15:59:54: ... 70%|███████ | 7/10 [00:00<00:00, 315.36 it/sec, obj=0.136]
INFO - 15:59:54:
INFO - 15:59:54: ... 80%|████████ | 8/10 [00:00<00:00, 321.97 it/sec, obj=0.579]
INFO - 15:59:54:
INFO - 15:59:54: ... 90%|█████████ | 9/10 [00:00<00:00, 339.25 it/sec, obj=0.289]
INFO - 15:59:54:
INFO - 15:59:54: ... 100%|██████████| 10/10 [00:00<00:00, 342.64 it/sec, obj=1.25]
INFO - 15:59:54:
WARNING - 15:59:54: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 15:59:54:
INFO - 15:59:54: Optimization result:
INFO - 15:59:54: Optimizer info:
INFO - 15:59:54: Status: None
INFO - 15:59:54: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 15:59:54: Number of calls to the objective function by the optimizer: 12
INFO - 15:59:54: Solution:
WARNING - 15:59:54: The solution is not feasible.
INFO - 15:59:54: Objective: 0.2888129873625884
INFO - 15:59:54: Standardized constraints:
INFO - 15:59:54: cstr = 0.1513713660745195
INFO - 15:59:54: Design space:
INFO - 15:59:54: +------+-------------+--------------------+-------------+-------+
INFO - 15:59:54: | name | lower_bound | value | upper_bound | type |
INFO - 15:59:54: +------+-------------+--------------------+-------------+-------+
INFO - 15:59:54: | x | -1.5 | -1.252181466244097 | 1.5 | float |
INFO - 15:59:54: +------+-------------+--------------------+-------------+-------+
INFO - 15:59:54: *** End MDOScenario execution (time: 0:00:00.040088) ***
INFO - 15:59:54: ... 10%|█ | 1/10 [00:00<00:00, 21.65 it/sec, obj=0.289]
INFO - 15:59:54:
INFO - 15:59:54: *** Start MDOScenario execution ***
INFO - 15:59:54: MDOScenario
INFO - 15:59:54: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 15:59:54: MDO formulation: DisciplinaryOpt
INFO - 15:59:54: Optimization problem:
INFO - 15:59:54: minimize obj(x)
INFO - 15:59:54: with respect to x
INFO - 15:59:54: subject to constraints:
INFO - 15:59:54: cstr(x) <= 0.0
INFO - 15:59:54: over the design space:
INFO - 15:59:54: +------+-------------+--------------------+-------------+-------+
INFO - 15:59:54: | name | lower_bound | value | upper_bound | type |
INFO - 15:59:54: +------+-------------+--------------------+-------------+-------+
INFO - 15:59:54: | x | -1.5 | -1.166666666666667 | 1.5 | float |
INFO - 15:59:54: +------+-------------+--------------------+-------------+-------+
INFO - 15:59:54: Solving optimization problem with algorithm SLSQP:
INFO - 15:59:54: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 15:59:54:
INFO - 15:59:54: ... 10%|█ | 1/10 [00:00<00:00, 1002.46 it/sec, obj=0.579]
INFO - 15:59:54:
INFO - 15:59:54: ... 20%|██ | 2/10 [00:00<00:00, 423.97 it/sec, obj=-.875]
INFO - 15:59:54:
INFO - 15:59:54: ... 30%|███ | 3/10 [00:00<00:00, 415.28 it/sec, obj=-.267]
INFO - 15:59:54:
INFO - 15:59:54: ... 40%|████ | 4/10 [00:00<00:00, 448.86 it/sec, obj=-.809]
INFO - 15:59:54:
INFO - 15:59:54: ... 50%|█████ | 5/10 [00:00<00:00, 471.41 it/sec, obj=-.868]
INFO - 15:59:54:
INFO - 15:59:54: ... 60%|██████ | 6/10 [00:00<00:00, 487.64 it/sec, obj=-.874]
INFO - 15:59:54:
INFO - 15:59:54: ... 70%|███████ | 7/10 [00:00<00:00, 467.17 it/sec, obj=-.266]
INFO - 15:59:54:
INFO - 15:59:54: ... 80%|████████ | 8/10 [00:00<00:00, 452.51 it/sec, obj=0.135]
INFO - 15:59:54:
INFO - 15:59:54: ... 90%|█████████ | 9/10 [00:00<00:00, 441.41 it/sec, obj=0.577]
INFO - 15:59:54:
INFO - 15:59:54: ... 100%|██████████| 10/10 [00:00<00:00, 453.22 it/sec, obj=0.288]
INFO - 15:59:54:
WARNING - 15:59:54: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 15:59:54:
INFO - 15:59:54: Optimization result:
INFO - 15:59:54: Optimizer info:
INFO - 15:59:54: Status: None
INFO - 15:59:54: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 15:59:54: Number of calls to the objective function by the optimizer: 12
INFO - 15:59:54: Solution:
WARNING - 15:59:54: The solution is not feasible.
INFO - 15:59:54: Objective: 0.28811314244670916
INFO - 15:59:54: Standardized constraints:
INFO - 15:59:54: cstr = 0.15144075010172386
INFO - 15:59:54: Design space:
INFO - 15:59:54: +------+-------------+--------------------+-------------+-------+
INFO - 15:59:54: | name | lower_bound | value | upper_bound | type |
INFO - 15:59:54: +------+-------------+--------------------+-------------+-------+
INFO - 15:59:54: | x | -1.5 | -1.252370379421043 | 1.5 | float |
INFO - 15:59:54: +------+-------------+--------------------+-------------+-------+
INFO - 15:59:54: *** End MDOScenario execution (time: 0:00:00.027871) ***
INFO - 15:59:54: ... 20%|██ | 2/10 [00:00<00:00, 26.54 it/sec, obj=0.288]
INFO - 15:59:54:
INFO - 15:59:54: *** Start MDOScenario execution ***
INFO - 15:59:54: MDOScenario
INFO - 15:59:54: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 15:59:54: MDO formulation: DisciplinaryOpt
INFO - 15:59:54: Optimization problem:
INFO - 15:59:54: minimize obj(x)
INFO - 15:59:54: with respect to x
INFO - 15:59:54: subject to constraints:
INFO - 15:59:54: cstr(x) <= 0.0
INFO - 15:59:54: over the design space:
INFO - 15:59:54: +------+-------------+---------------------+-------------+-------+
INFO - 15:59:54: | name | lower_bound | value | upper_bound | type |
INFO - 15:59:54: +------+-------------+---------------------+-------------+-------+
INFO - 15:59:54: | x | -1.5 | -0.8333333333333334 | 1.5 | float |
INFO - 15:59:54: +------+-------------+---------------------+-------------+-------+
INFO - 15:59:54: Solving optimization problem with algorithm SLSQP:
INFO - 15:59:54: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 15:59:54:
INFO - 15:59:54: ... 10%|█ | 1/10 [00:00<00:00, 1011.89 it/sec, obj=1.25]
INFO - 15:59:54:
INFO - 15:59:54: ... 20%|██ | 2/10 [00:00<00:00, 443.65 it/sec, obj=-.875]
INFO - 15:59:54:
INFO - 15:59:54: ... 30%|███ | 3/10 [00:00<00:00, 498.69 it/sec, obj=1.01]
INFO - 15:59:54:
INFO - 15:59:54: ... 40%|████ | 4/10 [00:00<00:00, 457.46 it/sec, obj=-.875]
INFO - 15:59:54:
INFO - 15:59:54: ... 50%|█████ | 5/10 [00:00<00:00, 479.28 it/sec, obj=0.819]
INFO - 15:59:54:
INFO - 15:59:54: ... 60%|██████ | 6/10 [00:00<00:00, 458.54 it/sec, obj=-.875]
INFO - 15:59:54:
INFO - 15:59:54: ... 70%|███████ | 7/10 [00:00<00:00, 473.91 it/sec, obj=0.693]
INFO - 15:59:54:
INFO - 15:59:54: ... 80%|████████ | 8/10 [00:00<00:00, 458.61 it/sec, obj=-.875]
INFO - 15:59:54:
INFO - 15:59:54: ... 90%|█████████ | 9/10 [00:00<00:00, 470.61 it/sec, obj=0.584]
INFO - 15:59:54:
INFO - 15:59:54: ... 100%|██████████| 10/10 [00:00<00:00, 458.94 it/sec, obj=-.875]
INFO - 15:59:54:
WARNING - 15:59:54: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 15:59:54:
INFO - 15:59:54: Optimization result:
INFO - 15:59:54: Optimizer info:
INFO - 15:59:54: Status: None
INFO - 15:59:54: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 15:59:54: Number of calls to the objective function by the optimizer: 12
INFO - 15:59:54: Solution:
WARNING - 15:59:54: The solution is not feasible.
INFO - 15:59:54: Objective: 0.5837798748832244
INFO - 15:59:54: Standardized constraints:
INFO - 15:59:54: cstr = 0.19806414473664136
INFO - 15:59:54: Design space:
INFO - 15:59:54: +------+-------------+--------------------+-------------+-------+
INFO - 15:59:54: | name | lower_bound | value | upper_bound | type |
INFO - 15:59:54: +------+-------------+--------------------+-------------+-------+
INFO - 15:59:54: | x | -1.5 | -1.165017254128868 | 1.5 | float |
INFO - 15:59:54: +------+-------------+--------------------+-------------+-------+
INFO - 15:59:54: *** End MDOScenario execution (time: 0:00:00.026518) ***
INFO - 15:59:54: ... 30%|███ | 3/10 [00:00<00:00, 28.87 it/sec, obj=0.584]
INFO - 15:59:54:
INFO - 15:59:54: *** Start MDOScenario execution ***
INFO - 15:59:54: MDOScenario
INFO - 15:59:54: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 15:59:54: MDO formulation: DisciplinaryOpt
INFO - 15:59:54: Optimization problem:
INFO - 15:59:54: minimize obj(x)
INFO - 15:59:54: with respect to x
INFO - 15:59:54: subject to constraints:
INFO - 15:59:54: cstr(x) <= 0.0
INFO - 15:59:54: over the design space:
INFO - 15:59:54: +------+-------------+-------+-------------+-------+
INFO - 15:59:54: | name | lower_bound | value | upper_bound | type |
INFO - 15:59:54: +------+-------------+-------+-------------+-------+
INFO - 15:59:54: | x | -1.5 | -0.5 | 1.5 | float |
INFO - 15:59:54: +------+-------------+-------+-------------+-------+
INFO - 15:59:54: Solving optimization problem with algorithm SLSQP:
INFO - 15:59:54: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 15:59:54:
INFO - 15:59:54: ... 10%|█ | 1/10 [00:00<00:00, 1015.32 it/sec, obj=1.38]
INFO - 15:59:54:
INFO - 15:59:54: ... 20%|██ | 2/10 [00:00<00:00, 442.27 it/sec, obj=2.88]
INFO - 15:59:54:
INFO - 15:59:54: ... 30%|███ | 3/10 [00:00<00:00, 493.47 it/sec, obj=1.23]
INFO - 15:59:54:
INFO - 15:59:54: ... 40%|████ | 4/10 [00:00<00:00, 457.38 it/sec, obj=2.87]
INFO - 15:59:54:
INFO - 15:59:54: ... 50%|█████ | 5/10 [00:00<00:00, 480.28 it/sec, obj=0.848]
INFO - 15:59:54:
INFO - 15:59:54: ... 60%|██████ | 6/10 [00:00<00:00, 446.67 it/sec, obj=0.658]
INFO - 15:59:54:
INFO - 15:59:54: ... 70%|███████ | 7/10 [00:00<00:00, 424.86 it/sec, obj=0.643]
INFO - 15:59:54:
INFO - 15:59:54: ... 80%|████████ | 8/10 [00:00<00:00, 410.28 it/sec, obj=0.616]
INFO - 15:59:54:
INFO - 15:59:54: ... 90%|█████████ | 9/10 [00:00<00:00, 398.90 it/sec, obj=0.615]
INFO - 15:59:54:
INFO - 15:59:54: ... 100%|██████████| 10/10 [00:00<00:00, 385.94 it/sec, obj=0.615]
INFO - 15:59:54:
INFO - 15:59:54:
INFO - 15:59:54: Optimization result:
INFO - 15:59:54: Optimizer info:
INFO - 15:59:54: Status: None
INFO - 15:59:54: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 15:59:54: Number of calls to the objective function by the optimizer: 13
INFO - 15:59:54: Solution:
INFO - 15:59:54: The solution is feasible.
INFO - 15:59:54: Objective: 0.6150998219543254
INFO - 15:59:54: Standardized constraints:
INFO - 15:59:54: cstr = -0.788285881879476
INFO - 15:59:54: Design space:
INFO - 15:59:54: +------+-------------+--------------------+-------------+-------+
INFO - 15:59:54: | name | lower_bound | value | upper_bound | type |
INFO - 15:59:54: +------+-------------+--------------------+-------------+-------+
INFO - 15:59:54: | x | -1.5 | 0.5773788419679762 | 1.5 | float |
INFO - 15:59:54: +------+-------------+--------------------+-------------+-------+
INFO - 15:59:54: *** End MDOScenario execution (time: 0:00:00.031880) ***
INFO - 15:59:54: ... 40%|████ | 4/10 [00:00<00:00, 29.19 it/sec, obj=0.615]
INFO - 15:59:54:
INFO - 15:59:54: *** Start MDOScenario execution ***
INFO - 15:59:54: MDOScenario
INFO - 15:59:54: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 15:59:54: MDO formulation: DisciplinaryOpt
INFO - 15:59:54: Optimization problem:
INFO - 15:59:54: minimize obj(x)
INFO - 15:59:54: with respect to x
INFO - 15:59:54: subject to constraints:
INFO - 15:59:54: cstr(x) <= 0.0
INFO - 15:59:54: over the design space:
INFO - 15:59:54: +------+-------------+---------------------+-------------+-------+
INFO - 15:59:54: | name | lower_bound | value | upper_bound | type |
INFO - 15:59:54: +------+-------------+---------------------+-------------+-------+
INFO - 15:59:54: | x | -1.5 | -0.1666666666666667 | 1.5 | float |
INFO - 15:59:54: +------+-------------+---------------------+-------------+-------+
INFO - 15:59:54: Solving optimization problem with algorithm SLSQP:
INFO - 15:59:54: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 15:59:54:
INFO - 15:59:54: ... 10%|█ | 1/10 [00:00<00:00, 984.12 it/sec, obj=1.16]
INFO - 15:59:54:
INFO - 15:59:54: ... 20%|██ | 2/10 [00:00<00:00, 446.20 it/sec, obj=2.87]
INFO - 15:59:54:
INFO - 15:59:54: ... 30%|███ | 3/10 [00:00<00:00, 495.55 it/sec, obj=0.785]
INFO - 15:59:54:
INFO - 15:59:54: ... 40%|████ | 4/10 [00:00<00:00, 442.39 it/sec, obj=2.88]
INFO - 15:59:54:
INFO - 15:59:54: ... 50%|█████ | 5/10 [00:00<00:00, 451.65 it/sec, obj=0.644]
INFO - 15:59:54:
INFO - 15:59:54: ... 60%|██████ | 6/10 [00:00<00:00, 426.08 it/sec, obj=0.624]
INFO - 15:59:54:
INFO - 15:59:54: ... 70%|███████ | 7/10 [00:00<00:00, 408.50 it/sec, obj=0.615]
INFO - 15:59:54:
INFO - 15:59:54: ... 80%|████████ | 8/10 [00:00<00:00, 397.70 it/sec, obj=0.615]
INFO - 15:59:54:
INFO - 15:59:54: ... 90%|█████████ | 9/10 [00:00<00:00, 384.16 it/sec, obj=0.615]
INFO - 15:59:54:
INFO - 15:59:54: ... 100%|██████████| 10/10 [00:00<00:00, 377.51 it/sec, obj=0.615]
INFO - 15:59:54:
INFO - 15:59:54:
INFO - 15:59:54: Optimization result:
INFO - 15:59:54: Optimizer info:
INFO - 15:59:54: Status: None
INFO - 15:59:54: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 15:59:54: Number of calls to the objective function by the optimizer: 12
INFO - 15:59:54: Solution:
INFO - 15:59:54: The solution is feasible.
INFO - 15:59:54: Objective: 0.6150998205402495
INFO - 15:59:54: Standardized constraints:
INFO - 15:59:54: cstr = -0.7883188793606977
INFO - 15:59:54: Design space:
INFO - 15:59:54: +------+-------------+--------------------+-------------+-------+
INFO - 15:59:54: | name | lower_bound | value | upper_bound | type |
INFO - 15:59:54: +------+-------------+--------------------+-------------+-------+
INFO - 15:59:54: | x | -1.5 | 0.5773502675245377 | 1.5 | float |
INFO - 15:59:54: +------+-------------+--------------------+-------------+-------+
INFO - 15:59:54: *** End MDOScenario execution (time: 0:00:00.032140) ***
INFO - 15:59:54: ... 50%|█████ | 5/10 [00:00<00:00, 29.34 it/sec, obj=0.615]
INFO - 15:59:54:
INFO - 15:59:54: *** Start MDOScenario execution ***
INFO - 15:59:54: MDOScenario
INFO - 15:59:54: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 15:59:54: MDO formulation: DisciplinaryOpt
INFO - 15:59:54: Optimization problem:
INFO - 15:59:54: minimize obj(x)
INFO - 15:59:54: with respect to x
INFO - 15:59:54: subject to constraints:
INFO - 15:59:54: cstr(x) <= 0.0
INFO - 15:59:54: over the design space:
INFO - 15:59:54: +------+-------------+--------------------+-------------+-------+
INFO - 15:59:54: | name | lower_bound | value | upper_bound | type |
INFO - 15:59:54: +------+-------------+--------------------+-------------+-------+
INFO - 15:59:54: | x | -1.5 | 0.1666666666666667 | 1.5 | float |
INFO - 15:59:54: +------+-------------+--------------------+-------------+-------+
INFO - 15:59:54: Solving optimization problem with algorithm SLSQP:
INFO - 15:59:54: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 15:59:54:
INFO - 15:59:54: ... 10%|█ | 1/10 [00:00<00:00, 993.44 it/sec, obj=0.838]
INFO - 15:59:54:
INFO - 15:59:54: ... 20%|██ | 2/10 [00:00<00:00, 439.75 it/sec, obj=2.88]
INFO - 15:59:54:
INFO - 15:59:54: ... 30%|███ | 3/10 [00:00<00:00, 494.55 it/sec, obj=0.656]
INFO - 15:59:54:
INFO - 15:59:54: ... 40%|████ | 4/10 [00:00<00:00, 437.24 it/sec, obj=0.639]
INFO - 15:59:54:
INFO - 15:59:54: ... 50%|█████ | 5/10 [00:00<00:00, 409.98 it/sec, obj=0.616]
INFO - 15:59:54:
INFO - 15:59:54: ... 60%|██████ | 6/10 [00:00<00:00, 394.29 it/sec, obj=0.615]
INFO - 15:59:54:
INFO - 15:59:54: ... 70%|███████ | 7/10 [00:00<00:00, 384.88 it/sec, obj=0.615]
INFO - 15:59:54:
INFO - 15:59:54: ... 80%|████████ | 8/10 [00:00<00:00, 373.10 it/sec, obj=0.615]
INFO - 15:59:54:
INFO - 15:59:54: ... 90%|█████████ | 9/10 [00:00<00:00, 368.24 it/sec, obj=0.615]
INFO - 15:59:54:
INFO - 15:59:54:
INFO - 15:59:54: Optimization result:
INFO - 15:59:54: Optimizer info:
INFO - 15:59:54: Status: None
INFO - 15:59:54: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 15:59:54: Number of calls to the objective function by the optimizer: 10
INFO - 15:59:54: Solution:
INFO - 15:59:54: The solution is feasible.
INFO - 15:59:54: Objective: 0.6150998205402508
INFO - 15:59:54: Standardized constraints:
INFO - 15:59:54: cstr = -0.7883189092934597
INFO - 15:59:54: Design space:
INFO - 15:59:54: +------+-------------+--------------------+-------------+-------+
INFO - 15:59:54: | name | lower_bound | value | upper_bound | type |
INFO - 15:59:54: +------+-------------+--------------------+-------------+-------+
INFO - 15:59:54: | x | -1.5 | 0.5773502416020033 | 1.5 | float |
INFO - 15:59:54: +------+-------------+--------------------+-------------+-------+
INFO - 15:59:54: *** End MDOScenario execution (time: 0:00:00.028462) ***
INFO - 15:59:54: ... 60%|██████ | 6/10 [00:00<00:00, 29.86 it/sec, obj=0.615]
INFO - 15:59:54:
INFO - 15:59:54: *** Start MDOScenario execution ***
INFO - 15:59:54: MDOScenario
INFO - 15:59:54: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 15:59:54: MDO formulation: DisciplinaryOpt
INFO - 15:59:54: Optimization problem:
INFO - 15:59:54: minimize obj(x)
INFO - 15:59:54: with respect to x
INFO - 15:59:54: subject to constraints:
INFO - 15:59:54: cstr(x) <= 0.0
INFO - 15:59:54: over the design space:
INFO - 15:59:54: +------+-------------+-------+-------------+-------+
INFO - 15:59:54: | name | lower_bound | value | upper_bound | type |
INFO - 15:59:54: +------+-------------+-------+-------------+-------+
INFO - 15:59:54: | x | -1.5 | 0.5 | 1.5 | float |
INFO - 15:59:54: +------+-------------+-------+-------------+-------+
INFO - 15:59:54: Solving optimization problem with algorithm SLSQP:
INFO - 15:59:54: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 15:59:54:
INFO - 15:59:54: ... 10%|█ | 1/10 [00:00<00:00, 990.86 it/sec, obj=0.625]
INFO - 15:59:54:
INFO - 15:59:54: ... 20%|██ | 2/10 [00:00<00:00, 443.16 it/sec, obj=2.87]
INFO - 15:59:54:
INFO - 15:59:54: ... 30%|███ | 3/10 [00:00<00:00, 491.67 it/sec, obj=0.616]
INFO - 15:59:54:
INFO - 15:59:54: ... 40%|████ | 4/10 [00:00<00:00, 439.50 it/sec, obj=0.615]
INFO - 15:59:54:
INFO - 15:59:54: ... 50%|█████ | 5/10 [00:00<00:00, 412.24 it/sec, obj=0.615]
INFO - 15:59:54:
INFO - 15:59:54: ... 60%|██████ | 6/10 [00:00<00:00, 396.24 it/sec, obj=0.615]
INFO - 15:59:54:
INFO - 15:59:54: ... 70%|███████ | 7/10 [00:00<00:00, 385.96 it/sec, obj=0.615]
INFO - 15:59:54:
INFO - 15:59:54:
INFO - 15:59:54: Optimization result:
INFO - 15:59:54: Optimizer info:
INFO - 15:59:54: Status: None
INFO - 15:59:54: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 15:59:54: Number of calls to the objective function by the optimizer: 8
INFO - 15:59:54: Solution:
INFO - 15:59:54: The solution is feasible.
INFO - 15:59:54: Objective: 0.6150998205402526
INFO - 15:59:54: Standardized constraints:
INFO - 15:59:54: cstr = -0.7883188285028959
INFO - 15:59:54: Design space:
INFO - 15:59:54: +------+-------------+--------------------+-------------+-------+
INFO - 15:59:54: | name | lower_bound | value | upper_bound | type |
INFO - 15:59:54: +------+-------------+--------------------+-------------+-------+
INFO - 15:59:54: | x | -1.5 | 0.5773503115686811 | 1.5 | float |
INFO - 15:59:54: +------+-------------+--------------------+-------------+-------+
INFO - 15:59:54: *** End MDOScenario execution (time: 0:00:00.022080) ***
INFO - 15:59:54: ... 70%|███████ | 7/10 [00:00<00:00, 31.10 it/sec, obj=0.615]
INFO - 15:59:54:
INFO - 15:59:54: *** Start MDOScenario execution ***
INFO - 15:59:54: MDOScenario
INFO - 15:59:54: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 15:59:54: MDO formulation: DisciplinaryOpt
INFO - 15:59:54: Optimization problem:
INFO - 15:59:54: minimize obj(x)
INFO - 15:59:54: with respect to x
INFO - 15:59:54: subject to constraints:
INFO - 15:59:54: cstr(x) <= 0.0
INFO - 15:59:54: over the design space:
INFO - 15:59:54: +------+-------------+--------------------+-------------+-------+
INFO - 15:59:54: | name | lower_bound | value | upper_bound | type |
INFO - 15:59:54: +------+-------------+--------------------+-------------+-------+
INFO - 15:59:54: | x | -1.5 | 0.8333333333333335 | 1.5 | float |
INFO - 15:59:54: +------+-------------+--------------------+-------------+-------+
INFO - 15:59:54: Solving optimization problem with algorithm SLSQP:
INFO - 15:59:54: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 15:59:54:
INFO - 15:59:54: ... 10%|█ | 1/10 [00:00<00:00, 990.62 it/sec, obj=0.745]
INFO - 15:59:54:
INFO - 15:59:54: ... 20%|██ | 2/10 [00:00<00:00, 441.27 it/sec, obj=-.875]
INFO - 15:59:54:
INFO - 15:59:54: ... 30%|███ | 3/10 [00:00<00:00, 423.87 it/sec, obj=-.267]
INFO - 15:59:54:
INFO - 15:59:54: ... 40%|████ | 4/10 [00:00<00:00, 438.84 it/sec, obj=-.809]
INFO - 15:59:54:
INFO - 15:59:54: ... 50%|█████ | 5/10 [00:00<00:00, 463.28 it/sec, obj=-.868]
INFO - 15:59:54:
INFO - 15:59:54: ... 60%|██████ | 6/10 [00:00<00:00, 481.97 it/sec, obj=-.874]
INFO - 15:59:54:
INFO - 15:59:54: ... 70%|███████ | 7/10 [00:00<00:00, 461.70 it/sec, obj=-.266]
INFO - 15:59:54:
INFO - 15:59:54: ... 80%|████████ | 8/10 [00:00<00:00, 440.57 it/sec, obj=0.135]
INFO - 15:59:54:
INFO - 15:59:54: ... 90%|█████████ | 9/10 [00:00<00:00, 431.86 it/sec, obj=0.577]
INFO - 15:59:54:
INFO - 15:59:54: ... 100%|██████████| 10/10 [00:00<00:00, 444.39 it/sec, obj=0.288]
INFO - 15:59:54:
INFO - 15:59:54:
INFO - 15:59:54: Optimization result:
INFO - 15:59:54: Optimizer info:
INFO - 15:59:54: Status: None
INFO - 15:59:54: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 15:59:54: Number of calls to the objective function by the optimizer: 12
INFO - 15:59:54: Solution:
INFO - 15:59:54: The solution is feasible.
INFO - 15:59:54: Objective: 0.7453703703703706
INFO - 15:59:54: Standardized constraints:
INFO - 15:59:54: cstr = -0.2499785665294918
INFO - 15:59:54: Design space:
INFO - 15:59:54: +------+-------------+--------------------+-------------+-------+
INFO - 15:59:54: | name | lower_bound | value | upper_bound | type |
INFO - 15:59:54: +------+-------------+--------------------+-------------+-------+
INFO - 15:59:54: | x | -1.5 | 0.8333333333333335 | 1.5 | float |
INFO - 15:59:54: +------+-------------+--------------------+-------------+-------+
INFO - 15:59:54: *** End MDOScenario execution (time: 0:00:00.027817) ***
INFO - 15:59:54: ... 80%|████████ | 8/10 [00:00<00:00, 31.38 it/sec, obj=0.745]
INFO - 15:59:54:
INFO - 15:59:54: *** Start MDOScenario execution ***
INFO - 15:59:54: MDOScenario
INFO - 15:59:54: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 15:59:54: MDO formulation: DisciplinaryOpt
INFO - 15:59:54: Optimization problem:
INFO - 15:59:54: minimize obj(x)
INFO - 15:59:54: with respect to x
INFO - 15:59:54: subject to constraints:
INFO - 15:59:54: cstr(x) <= 0.0
INFO - 15:59:54: over the design space:
INFO - 15:59:54: +------+-------------+-------------------+-------------+-------+
INFO - 15:59:54: | name | lower_bound | value | upper_bound | type |
INFO - 15:59:54: +------+-------------+-------------------+-------------+-------+
INFO - 15:59:54: | x | -1.5 | 1.166666666666667 | 1.5 | float |
INFO - 15:59:54: +------+-------------+-------------------+-------------+-------+
INFO - 15:59:54: Solving optimization problem with algorithm SLSQP:
INFO - 15:59:54: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 15:59:54:
INFO - 15:59:54: ... 10%|█ | 1/10 [00:00<00:00, 855.46 it/sec, obj=1.42]
INFO - 15:59:54:
INFO - 15:59:54: ... 20%|██ | 2/10 [00:00<00:00, 424.16 it/sec, obj=-.875]
INFO - 15:59:54:
INFO - 15:59:54: ... 30%|███ | 3/10 [00:00<00:00, 412.60 it/sec, obj=-.267]
INFO - 15:59:54:
INFO - 15:59:54: ... 40%|████ | 4/10 [00:00<00:00, 447.24 it/sec, obj=-.809]
INFO - 15:59:54:
INFO - 15:59:54: ... 50%|█████ | 5/10 [00:00<00:00, 471.12 it/sec, obj=-.868]
INFO - 15:59:54:
INFO - 15:59:54: ... 60%|██████ | 6/10 [00:00<00:00, 488.32 it/sec, obj=-.874]
INFO - 15:59:54:
INFO - 15:59:54: ... 70%|███████ | 7/10 [00:00<00:00, 464.88 it/sec, obj=-.266]
INFO - 15:59:54:
INFO - 15:59:54: ... 80%|████████ | 8/10 [00:00<00:00, 451.16 it/sec, obj=0.135]
INFO - 15:59:54:
INFO - 15:59:54: ... 90%|█████████ | 9/10 [00:00<00:00, 440.44 it/sec, obj=0.577]
INFO - 15:59:54:
INFO - 15:59:54: ... 100%|██████████| 10/10 [00:00<00:00, 452.89 it/sec, obj=0.288]
INFO - 15:59:54:
WARNING - 15:59:54: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 15:59:54:
INFO - 15:59:54: Optimization result:
INFO - 15:59:54: Optimizer info:
INFO - 15:59:54: Status: None
INFO - 15:59:54: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 15:59:54: Number of calls to the objective function by the optimizer: 12
INFO - 15:59:54: Solution:
WARNING - 15:59:54: The solution is not feasible.
INFO - 15:59:54: Objective: 0.28811314244698893
INFO - 15:59:54: Standardized constraints:
INFO - 15:59:54: cstr = 0.1514407501016959
INFO - 15:59:54: Design space:
INFO - 15:59:54: +------+-------------+--------------------+-------------+-------+
INFO - 15:59:54: | name | lower_bound | value | upper_bound | type |
INFO - 15:59:54: +------+-------------+--------------------+-------------+-------+
INFO - 15:59:54: | x | -1.5 | -1.252370379420967 | 1.5 | float |
INFO - 15:59:54: +------+-------------+--------------------+-------------+-------+
INFO - 15:59:54: *** End MDOScenario execution (time: 0:00:00.027895) ***
INFO - 15:59:54: ... 90%|█████████ | 9/10 [00:00<00:00, 31.68 it/sec, obj=0.288]
INFO - 15:59:54:
INFO - 15:59:54: *** Start MDOScenario execution ***
INFO - 15:59:54: MDOScenario
INFO - 15:59:54: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 15:59:54: MDO formulation: DisciplinaryOpt
INFO - 15:59:54: Optimization problem:
INFO - 15:59:54: minimize obj(x)
INFO - 15:59:54: with respect to x
INFO - 15:59:54: subject to constraints:
INFO - 15:59:54: cstr(x) <= 0.0
INFO - 15:59:54: over the design space:
INFO - 15:59:54: +------+-------------+-------+-------------+-------+
INFO - 15:59:54: | name | lower_bound | value | upper_bound | type |
INFO - 15:59:54: +------+-------------+-------+-------------+-------+
INFO - 15:59:54: | x | -1.5 | 1.5 | 1.5 | float |
INFO - 15:59:54: +------+-------------+-------+-------------+-------+
INFO - 15:59:54: Solving optimization problem with algorithm SLSQP:
INFO - 15:59:54: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 15:59:54:
INFO - 15:59:54: ... 10%|█ | 1/10 [00:00<00:00, 1015.32 it/sec, obj=2.88]
INFO - 15:59:54:
INFO - 15:59:54: ... 20%|██ | 2/10 [00:00<00:00, 440.37 it/sec, obj=-.875]
INFO - 15:59:54:
INFO - 15:59:54: ... 30%|███ | 3/10 [00:00<00:00, 417.58 it/sec, obj=-.267]
INFO - 15:59:54:
INFO - 15:59:54: ... 40%|████ | 4/10 [00:00<00:00, 452.25 it/sec, obj=-.809]
INFO - 15:59:54:
INFO - 15:59:54: ... 50%|█████ | 5/10 [00:00<00:00, 474.75 it/sec, obj=-.868]
INFO - 15:59:54:
INFO - 15:59:54: ... 60%|██████ | 6/10 [00:00<00:00, 491.80 it/sec, obj=-.874]
INFO - 15:59:54:
INFO - 15:59:54: ... 70%|███████ | 7/10 [00:00<00:00, 469.28 it/sec, obj=-.266]
INFO - 15:59:54:
INFO - 15:59:54: ... 80%|████████ | 8/10 [00:00<00:00, 454.49 it/sec, obj=0.135]
INFO - 15:59:54:
INFO - 15:59:54: ... 90%|█████████ | 9/10 [00:00<00:00, 443.81 it/sec, obj=0.577]
INFO - 15:59:54:
INFO - 15:59:54: ... 100%|██████████| 10/10 [00:00<00:00, 455.16 it/sec, obj=0.288]
INFO - 15:59:54:
WARNING - 15:59:54: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 15:59:54:
INFO - 15:59:54: Optimization result:
INFO - 15:59:54: Optimizer info:
INFO - 15:59:54: Status: None
INFO - 15:59:54: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 15:59:54: Number of calls to the objective function by the optimizer: 12
INFO - 15:59:54: Solution:
WARNING - 15:59:54: The solution is not feasible.
INFO - 15:59:54: Objective: 0.28811314244587316
INFO - 15:59:54: Standardized constraints:
INFO - 15:59:54: cstr = 0.15144075010180735
INFO - 15:59:54: Design space:
INFO - 15:59:54: +------+-------------+--------------------+-------------+-------+
INFO - 15:59:54: | name | lower_bound | value | upper_bound | type |
INFO - 15:59:54: +------+-------------+--------------------+-------------+-------+
INFO - 15:59:54: | x | -1.5 | -1.252370379421268 | 1.5 | float |
INFO - 15:59:54: +------+-------------+--------------------+-------------+-------+
INFO - 15:59:54: *** End MDOScenario execution (time: 0:00:00.027693) ***
INFO - 15:59:54: ... 100%|██████████| 10/10 [00:00<00:00, 31.94 it/sec, obj=0.288]
INFO - 15:59:54: Optimization result:
INFO - 15:59:54: Optimizer info:
INFO - 15:59:54: Status: None
INFO - 15:59:54: Message: None
INFO - 15:59:54: Number of calls to the objective function by the optimizer: 10
INFO - 15:59:54: Solution:
INFO - 15:59:54: The solution is feasible.
INFO - 15:59:54: Objective: 0.6150998205402495
INFO - 15:59:54: Standardized constraints:
INFO - 15:59:54: cstr = -0.7883188793606977
INFO - 15:59:54: Design space:
INFO - 15:59:54: +------+-------------+---------------------+-------------+-------+
INFO - 15:59:54: | name | lower_bound | value | upper_bound | type |
INFO - 15:59:54: +------+-------------+---------------------+-------------+-------+
INFO - 15:59:54: | x | -1.5 | -0.1666666666666667 | 1.5 | float |
INFO - 15:59:54: +------+-------------+---------------------+-------------+-------+
INFO - 15:59:54: *** End DOEScenario execution (time: 0:00:00.322461) ***
{'eval_jac': False, 'algo': 'fullfact', 'n_samples': 10}
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 0x7ff196307d00>
Total running time of the script: ( 0 minutes 0.514 seconds)