Note
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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],
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.variable_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 - 13:51:36:
INFO - 13:51:36: *** Start DOEScenario execution ***
INFO - 13:51:36: DOEScenario
INFO - 13:51:36: Disciplines: MDOScenario_adapter
INFO - 13:51:36: MDO formulation: DisciplinaryOpt
INFO - 13:51:36: Optimization problem:
INFO - 13:51:36: minimize obj(x)
INFO - 13:51:36: with respect to x
INFO - 13:51:36: subject to constraints:
INFO - 13:51:36: cstr(x) <= 0.0
INFO - 13:51:36: over the design space:
INFO - 13:51:36: +------+-------------+-------+-------------+-------+
INFO - 13:51:36: | name | lower_bound | value | upper_bound | type |
INFO - 13:51:36: +------+-------------+-------+-------------+-------+
INFO - 13:51:36: | x | -1.5 | 1.5 | 1.5 | float |
INFO - 13:51:36: +------+-------------+-------+-------------+-------+
INFO - 13:51:36: Solving optimization problem with algorithm fullfact:
INFO - 13:51:36: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 13:51:36:
INFO - 13:51:36: *** Start MDOScenario execution ***
INFO - 13:51:36: MDOScenario
INFO - 13:51:36: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 13:51:36: MDO formulation: DisciplinaryOpt
INFO - 13:51:36: Optimization problem:
INFO - 13:51:36: minimize obj(x)
INFO - 13:51:36: with respect to x
INFO - 13:51:36: subject to constraints:
INFO - 13:51:36: cstr(x) <= 0.0
INFO - 13:51:36: over the design space:
INFO - 13:51:36: +------+-------------+-------+-------------+-------+
INFO - 13:51:36: | name | lower_bound | value | upper_bound | type |
INFO - 13:51:36: +------+-------------+-------+-------------+-------+
INFO - 13:51:36: | x | -1.5 | -1.5 | 1.5 | float |
INFO - 13:51:36: +------+-------------+-------+-------------+-------+
INFO - 13:51:36: Solving optimization problem with algorithm SLSQP:
INFO - 13:51:36: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 13:51:36:
INFO - 13:51:36: ... 10%|█ | 1/10 [00:00<00:00, 125.85 it/sec, obj=-.875]
INFO - 13:51:36:
INFO - 13:51:36: ... 20%|██ | 2/10 [00:00<00:00, 152.76 it/sec, obj=-.267]
INFO - 13:51:36:
INFO - 13:51:36: ... 30%|███ | 3/10 [00:00<00:00, 198.87 it/sec, obj=-.809]
INFO - 13:51:36:
INFO - 13:51:36: ... 40%|████ | 4/10 [00:00<00:00, 233.45 it/sec, obj=-.868]
INFO - 13:51:36:
INFO - 13:51:36: ... 50%|█████ | 5/10 [00:00<00:00, 261.23 it/sec, obj=-.872]
INFO - 13:51:36:
INFO - 13:51:36: ... 60%|██████ | 6/10 [00:00<00:00, 267.84 it/sec, obj=-.265]
INFO - 13:51:36:
INFO - 13:51:36: ... 70%|███████ | 7/10 [00:00<00:00, 272.67 it/sec, obj=0.136]
INFO - 13:51:36:
INFO - 13:51:36: ... 80%|████████ | 8/10 [00:00<00:00, 277.13 it/sec, obj=0.579]
INFO - 13:51:36:
INFO - 13:51:36: ... 90%|█████████ | 9/10 [00:00<00:00, 291.73 it/sec, obj=0.289]
INFO - 13:51:36:
INFO - 13:51:36: ... 100%|██████████| 10/10 [00:00<00:00, 294.15 it/sec, obj=1.25]
INFO - 13:51:36:
WARNING - 13:51:36: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 13:51:36:
INFO - 13:51:36: Optimization result:
INFO - 13:51:36: Optimizer info:
INFO - 13:51:36: Status: None
INFO - 13:51:36: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 13:51:36: Number of calls to the objective function by the optimizer: 12
INFO - 13:51:36: Solution:
WARNING - 13:51:36: The solution is not feasible.
INFO - 13:51:36: Objective: 0.2888129873625884
INFO - 13:51:36: Standardized constraints:
INFO - 13:51:36: cstr = 0.1513713660745195
INFO - 13:51:36: Design space:
INFO - 13:51:36: +------+-------------+--------------------+-------------+-------+
INFO - 13:51:36: | name | lower_bound | value | upper_bound | type |
INFO - 13:51:36: +------+-------------+--------------------+-------------+-------+
INFO - 13:51:36: | x | -1.5 | -1.252181466244097 | 1.5 | float |
INFO - 13:51:36: +------+-------------+--------------------+-------------+-------+
INFO - 13:51:36: *** End MDOScenario execution (time: 0:00:00.046980) ***
INFO - 13:51:36: ... 10%|█ | 1/10 [00:00<00:00, 18.44 it/sec, obj=0.289]
INFO - 13:51:36:
INFO - 13:51:36: *** Start MDOScenario execution ***
INFO - 13:51:36: MDOScenario
INFO - 13:51:36: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 13:51:36: MDO formulation: DisciplinaryOpt
INFO - 13:51:36: Optimization problem:
INFO - 13:51:36: minimize obj(x)
INFO - 13:51:36: with respect to x
INFO - 13:51:36: subject to constraints:
INFO - 13:51:36: cstr(x) <= 0.0
INFO - 13:51:36: over the design space:
INFO - 13:51:36: +------+-------------+--------------------+-------------+-------+
INFO - 13:51:36: | name | lower_bound | value | upper_bound | type |
INFO - 13:51:36: +------+-------------+--------------------+-------------+-------+
INFO - 13:51:36: | x | -1.5 | -1.166666666666667 | 1.5 | float |
INFO - 13:51:36: +------+-------------+--------------------+-------------+-------+
INFO - 13:51:36: Solving optimization problem with algorithm SLSQP:
INFO - 13:51:36: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 13:51:36:
INFO - 13:51:36: ... 10%|█ | 1/10 [00:00<00:00, 684.23 it/sec, obj=0.579]
INFO - 13:51:36:
INFO - 13:51:36: ... 20%|██ | 2/10 [00:00<00:00, 337.77 it/sec, obj=-.875]
INFO - 13:51:36:
INFO - 13:51:36: ... 30%|███ | 3/10 [00:00<00:00, 328.76 it/sec, obj=-.267]
INFO - 13:51:36:
INFO - 13:51:36: ... 40%|████ | 4/10 [00:00<00:00, 360.25 it/sec, obj=-.809]
INFO - 13:51:36:
INFO - 13:51:36: ... 50%|█████ | 5/10 [00:00<00:00, 383.05 it/sec, obj=-.868]
INFO - 13:51:36:
INFO - 13:51:36: ... 60%|██████ | 6/10 [00:00<00:00, 400.78 it/sec, obj=-.874]
INFO - 13:51:36:
INFO - 13:51:36: ... 70%|███████ | 7/10 [00:00<00:00, 384.81 it/sec, obj=-.266]
INFO - 13:51:36:
INFO - 13:51:36: ... 80%|████████ | 8/10 [00:00<00:00, 373.97 it/sec, obj=0.135]
INFO - 13:51:36:
INFO - 13:51:36: ... 90%|█████████ | 9/10 [00:00<00:00, 365.79 it/sec, obj=0.577]
INFO - 13:51:36:
INFO - 13:51:36: ... 100%|██████████| 10/10 [00:00<00:00, 376.90 it/sec, obj=0.288]
INFO - 13:51:36:
WARNING - 13:51:36: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 13:51:36:
INFO - 13:51:36: Optimization result:
INFO - 13:51:36: Optimizer info:
INFO - 13:51:36: Status: None
INFO - 13:51:36: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 13:51:36: Number of calls to the objective function by the optimizer: 12
INFO - 13:51:36: Solution:
WARNING - 13:51:36: The solution is not feasible.
INFO - 13:51:36: Objective: 0.28811314244670916
INFO - 13:51:36: Standardized constraints:
INFO - 13:51:36: cstr = 0.15144075010172386
INFO - 13:51:36: Design space:
INFO - 13:51:36: +------+-------------+--------------------+-------------+-------+
INFO - 13:51:36: | name | lower_bound | value | upper_bound | type |
INFO - 13:51:36: +------+-------------+--------------------+-------------+-------+
INFO - 13:51:36: | x | -1.5 | -1.252370379421043 | 1.5 | float |
INFO - 13:51:36: +------+-------------+--------------------+-------------+-------+
INFO - 13:51:36: *** End MDOScenario execution (time: 0:00:00.040295) ***
INFO - 13:51:36: ... 20%|██ | 2/10 [00:00<00:00, 20.80 it/sec, obj=0.288]
INFO - 13:51:36:
INFO - 13:51:36: *** Start MDOScenario execution ***
INFO - 13:51:36: MDOScenario
INFO - 13:51:36: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 13:51:36: MDO formulation: DisciplinaryOpt
INFO - 13:51:36: Optimization problem:
INFO - 13:51:36: minimize obj(x)
INFO - 13:51:36: with respect to x
INFO - 13:51:36: subject to constraints:
INFO - 13:51:36: cstr(x) <= 0.0
INFO - 13:51:36: over the design space:
INFO - 13:51:36: +------+-------------+---------------------+-------------+-------+
INFO - 13:51:36: | name | lower_bound | value | upper_bound | type |
INFO - 13:51:36: +------+-------------+---------------------+-------------+-------+
INFO - 13:51:36: | x | -1.5 | -0.8333333333333334 | 1.5 | float |
INFO - 13:51:36: +------+-------------+---------------------+-------------+-------+
INFO - 13:51:36: Solving optimization problem with algorithm SLSQP:
INFO - 13:51:36: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 13:51:36:
INFO - 13:51:36: ... 10%|█ | 1/10 [00:00<00:00, 674.43 it/sec, obj=1.25]
INFO - 13:51:36:
INFO - 13:51:36: ... 20%|██ | 2/10 [00:00<00:00, 331.08 it/sec, obj=-.875]
INFO - 13:51:36:
INFO - 13:51:36: ... 30%|███ | 3/10 [00:00<00:00, 379.92 it/sec, obj=1.01]
INFO - 13:51:36:
INFO - 13:51:36: ... 40%|████ | 4/10 [00:00<00:00, 349.29 it/sec, obj=-.875]
INFO - 13:51:36:
INFO - 13:51:36: ... 50%|█████ | 5/10 [00:00<00:00, 372.79 it/sec, obj=0.819]
INFO - 13:51:36:
INFO - 13:51:36: ... 60%|██████ | 6/10 [00:00<00:00, 360.25 it/sec, obj=-.875]
INFO - 13:51:36:
INFO - 13:51:36: ... 70%|███████ | 7/10 [00:00<00:00, 375.82 it/sec, obj=0.693]
INFO - 13:51:36:
INFO - 13:51:36: ... 80%|████████ | 8/10 [00:00<00:00, 366.87 it/sec, obj=-.875]
INFO - 13:51:36:
INFO - 13:51:36: ... 90%|█████████ | 9/10 [00:00<00:00, 378.46 it/sec, obj=0.584]
INFO - 13:51:36:
INFO - 13:51:36: ... 100%|██████████| 10/10 [00:00<00:00, 369.81 it/sec, obj=-.875]
INFO - 13:51:36:
WARNING - 13:51:36: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 13:51:36:
INFO - 13:51:36: Optimization result:
INFO - 13:51:36: Optimizer info:
INFO - 13:51:36: Status: None
INFO - 13:51:36: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 13:51:36: Number of calls to the objective function by the optimizer: 12
INFO - 13:51:36: Solution:
WARNING - 13:51:36: The solution is not feasible.
INFO - 13:51:36: Objective: 0.5837798748832244
INFO - 13:51:36: Standardized constraints:
INFO - 13:51:36: cstr = 0.19806414473664136
INFO - 13:51:36: Design space:
INFO - 13:51:36: +------+-------------+--------------------+-------------+-------+
INFO - 13:51:36: | name | lower_bound | value | upper_bound | type |
INFO - 13:51:36: +------+-------------+--------------------+-------------+-------+
INFO - 13:51:36: | x | -1.5 | -1.165017254128868 | 1.5 | float |
INFO - 13:51:36: +------+-------------+--------------------+-------------+-------+
INFO - 13:51:36: *** End MDOScenario execution (time: 0:00:00.039231) ***
INFO - 13:51:36: ... 30%|███ | 3/10 [00:00<00:00, 21.75 it/sec, obj=0.584]
INFO - 13:51:36:
INFO - 13:51:36: *** Start MDOScenario execution ***
INFO - 13:51:36: MDOScenario
INFO - 13:51:36: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 13:51:36: MDO formulation: DisciplinaryOpt
INFO - 13:51:36: Optimization problem:
INFO - 13:51:36: minimize obj(x)
INFO - 13:51:36: with respect to x
INFO - 13:51:36: subject to constraints:
INFO - 13:51:36: cstr(x) <= 0.0
INFO - 13:51:36: over the design space:
INFO - 13:51:36: +------+-------------+-------+-------------+-------+
INFO - 13:51:36: | name | lower_bound | value | upper_bound | type |
INFO - 13:51:36: +------+-------------+-------+-------------+-------+
INFO - 13:51:36: | x | -1.5 | -0.5 | 1.5 | float |
INFO - 13:51:36: +------+-------------+-------+-------------+-------+
INFO - 13:51:36: Solving optimization problem with algorithm SLSQP:
INFO - 13:51:36: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 13:51:36:
INFO - 13:51:36: ... 10%|█ | 1/10 [00:00<00:00, 640.25 it/sec, obj=1.38]
INFO - 13:51:36:
INFO - 13:51:36: ... 20%|██ | 2/10 [00:00<00:00, 330.62 it/sec, obj=2.88]
INFO - 13:51:36:
INFO - 13:51:36: ... 30%|███ | 3/10 [00:00<00:00, 376.15 it/sec, obj=1.23]
INFO - 13:51:36:
INFO - 13:51:36: ... 40%|████ | 4/10 [00:00<00:00, 352.34 it/sec, obj=2.87]
INFO - 13:51:36:
INFO - 13:51:36: ... 50%|█████ | 5/10 [00:00<00:00, 375.19 it/sec, obj=0.848]
INFO - 13:51:36:
INFO - 13:51:36: ... 60%|██████ | 6/10 [00:00<00:00, 359.01 it/sec, obj=0.658]
INFO - 13:51:36:
INFO - 13:51:36: ... 70%|███████ | 7/10 [00:00<00:00, 342.86 it/sec, obj=0.643]
INFO - 13:51:36:
INFO - 13:51:36: ... 80%|████████ | 8/10 [00:00<00:00, 331.97 it/sec, obj=0.616]
INFO - 13:51:36:
INFO - 13:51:36: ... 90%|█████████ | 9/10 [00:00<00:00, 324.81 it/sec, obj=0.615]
INFO - 13:51:36:
INFO - 13:51:36: ... 100%|██████████| 10/10 [00:00<00:00, 319.26 it/sec, obj=0.615]
INFO - 13:51:36:
INFO - 13:51:36:
INFO - 13:51:36: Optimization result:
INFO - 13:51:36: Optimizer info:
INFO - 13:51:36: Status: None
INFO - 13:51:36: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 13:51:36: Number of calls to the objective function by the optimizer: 13
INFO - 13:51:36: Solution:
INFO - 13:51:36: The solution is feasible.
INFO - 13:51:36: Objective: 0.6150998219543254
INFO - 13:51:36: Standardized constraints:
INFO - 13:51:36: cstr = -0.788285881879476
INFO - 13:51:36: Design space:
INFO - 13:51:36: +------+-------------+--------------------+-------------+-------+
INFO - 13:51:36: | name | lower_bound | value | upper_bound | type |
INFO - 13:51:36: +------+-------------+--------------------+-------------+-------+
INFO - 13:51:36: | x | -1.5 | 0.5773788419679762 | 1.5 | float |
INFO - 13:51:36: +------+-------------+--------------------+-------------+-------+
INFO - 13:51:36: *** End MDOScenario execution (time: 0:00:00.044609) ***
INFO - 13:51:36: ... 40%|████ | 4/10 [00:00<00:00, 21.73 it/sec, obj=0.615]
INFO - 13:51:36:
INFO - 13:51:36: *** Start MDOScenario execution ***
INFO - 13:51:36: MDOScenario
INFO - 13:51:36: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 13:51:36: MDO formulation: DisciplinaryOpt
INFO - 13:51:36: Optimization problem:
INFO - 13:51:36: minimize obj(x)
INFO - 13:51:36: with respect to x
INFO - 13:51:36: subject to constraints:
INFO - 13:51:36: cstr(x) <= 0.0
INFO - 13:51:36: over the design space:
INFO - 13:51:36: +------+-------------+---------------------+-------------+-------+
INFO - 13:51:36: | name | lower_bound | value | upper_bound | type |
INFO - 13:51:36: +------+-------------+---------------------+-------------+-------+
INFO - 13:51:36: | x | -1.5 | -0.1666666666666667 | 1.5 | float |
INFO - 13:51:36: +------+-------------+---------------------+-------------+-------+
INFO - 13:51:36: Solving optimization problem with algorithm SLSQP:
INFO - 13:51:36: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 13:51:36:
INFO - 13:51:36: ... 10%|█ | 1/10 [00:00<00:00, 656.90 it/sec, obj=1.16]
INFO - 13:51:36:
INFO - 13:51:36: ... 20%|██ | 2/10 [00:00<00:00, 339.07 it/sec, obj=2.87]
INFO - 13:51:36:
INFO - 13:51:36: ... 30%|███ | 3/10 [00:00<00:00, 386.30 it/sec, obj=0.785]
INFO - 13:51:36:
INFO - 13:51:36: ... 40%|████ | 4/10 [00:00<00:00, 349.55 it/sec, obj=2.88]
INFO - 13:51:36:
INFO - 13:51:36: ... 50%|█████ | 5/10 [00:00<00:00, 361.03 it/sec, obj=0.644]
INFO - 13:51:36:
INFO - 13:51:36: ... 60%|██████ | 6/10 [00:00<00:00, 345.71 it/sec, obj=0.624]
INFO - 13:51:36:
INFO - 13:51:36: ... 70%|███████ | 7/10 [00:00<00:00, 328.47 it/sec, obj=0.615]
INFO - 13:51:36:
INFO - 13:51:36: ... 80%|████████ | 8/10 [00:00<00:00, 321.71 it/sec, obj=0.615]
INFO - 13:51:36:
INFO - 13:51:36: ... 90%|█████████ | 9/10 [00:00<00:00, 316.80 it/sec, obj=0.615]
INFO - 13:51:36:
INFO - 13:51:36: ... 100%|██████████| 10/10 [00:00<00:00, 312.81 it/sec, obj=0.615]
INFO - 13:51:36:
INFO - 13:51:36:
INFO - 13:51:36: Optimization result:
INFO - 13:51:36: Optimizer info:
INFO - 13:51:36: Status: None
INFO - 13:51:36: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 13:51:36: Number of calls to the objective function by the optimizer: 12
INFO - 13:51:36: Solution:
INFO - 13:51:36: The solution is feasible.
INFO - 13:51:36: Objective: 0.6150998205402495
INFO - 13:51:36: Standardized constraints:
INFO - 13:51:36: cstr = -0.7883188793606977
INFO - 13:51:36: Design space:
INFO - 13:51:36: +------+-------------+--------------------+-------------+-------+
INFO - 13:51:36: | name | lower_bound | value | upper_bound | type |
INFO - 13:51:36: +------+-------------+--------------------+-------------+-------+
INFO - 13:51:36: | x | -1.5 | 0.5773502675245377 | 1.5 | float |
INFO - 13:51:36: +------+-------------+--------------------+-------------+-------+
INFO - 13:51:36: *** End MDOScenario execution (time: 0:00:00.045760) ***
INFO - 13:51:36: ... 50%|█████ | 5/10 [00:00<00:00, 21.61 it/sec, obj=0.615]
INFO - 13:51:36:
INFO - 13:51:36: *** Start MDOScenario execution ***
INFO - 13:51:36: MDOScenario
INFO - 13:51:36: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 13:51:36: MDO formulation: DisciplinaryOpt
INFO - 13:51:36: Optimization problem:
INFO - 13:51:36: minimize obj(x)
INFO - 13:51:36: with respect to x
INFO - 13:51:36: subject to constraints:
INFO - 13:51:36: cstr(x) <= 0.0
INFO - 13:51:36: over the design space:
INFO - 13:51:36: +------+-------------+--------------------+-------------+-------+
INFO - 13:51:36: | name | lower_bound | value | upper_bound | type |
INFO - 13:51:36: +------+-------------+--------------------+-------------+-------+
INFO - 13:51:36: | x | -1.5 | 0.1666666666666667 | 1.5 | float |
INFO - 13:51:36: +------+-------------+--------------------+-------------+-------+
INFO - 13:51:36: Solving optimization problem with algorithm SLSQP:
INFO - 13:51:36: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 13:51:36:
INFO - 13:51:36: ... 10%|█ | 1/10 [00:00<00:00, 654.03 it/sec, obj=0.838]
INFO - 13:51:36:
INFO - 13:51:36: ... 20%|██ | 2/10 [00:00<00:00, 340.64 it/sec, obj=2.88]
INFO - 13:51:36:
INFO - 13:51:36: ... 30%|███ | 3/10 [00:00<00:00, 384.09 it/sec, obj=0.656]
INFO - 13:51:36:
INFO - 13:51:36: ... 40%|████ | 4/10 [00:00<00:00, 347.69 it/sec, obj=0.639]
INFO - 13:51:36:
INFO - 13:51:36: ... 50%|█████ | 5/10 [00:00<00:00, 323.72 it/sec, obj=0.616]
INFO - 13:51:36:
INFO - 13:51:36: ... 60%|██████ | 6/10 [00:00<00:00, 314.03 it/sec, obj=0.615]
INFO - 13:51:36:
INFO - 13:51:36: ... 70%|███████ | 7/10 [00:00<00:00, 307.82 it/sec, obj=0.615]
INFO - 13:51:36:
INFO - 13:51:36: ... 80%|████████ | 8/10 [00:00<00:00, 303.67 it/sec, obj=0.615]
INFO - 13:51:36:
INFO - 13:51:36: ... 90%|█████████ | 9/10 [00:00<00:00, 296.83 it/sec, obj=0.615]
INFO - 13:51:36:
INFO - 13:51:36:
INFO - 13:51:36: Optimization result:
INFO - 13:51:36: Optimizer info:
INFO - 13:51:36: Status: None
INFO - 13:51:36: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:51:36: Number of calls to the objective function by the optimizer: 10
INFO - 13:51:36: Solution:
INFO - 13:51:36: The solution is feasible.
INFO - 13:51:36: Objective: 0.6150998205402508
INFO - 13:51:36: Standardized constraints:
INFO - 13:51:36: cstr = -0.7883189092934597
INFO - 13:51:36: Design space:
INFO - 13:51:36: +------+-------------+--------------------+-------------+-------+
INFO - 13:51:36: | name | lower_bound | value | upper_bound | type |
INFO - 13:51:36: +------+-------------+--------------------+-------------+-------+
INFO - 13:51:36: | x | -1.5 | 0.5773502416020033 | 1.5 | float |
INFO - 13:51:36: +------+-------------+--------------------+-------------+-------+
INFO - 13:51:36: *** End MDOScenario execution (time: 0:00:00.041687) ***
INFO - 13:51:36: ... 60%|██████ | 6/10 [00:00<00:00, 21.77 it/sec, obj=0.615]
INFO - 13:51:36:
INFO - 13:51:36: *** Start MDOScenario execution ***
INFO - 13:51:36: MDOScenario
INFO - 13:51:36: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 13:51:36: MDO formulation: DisciplinaryOpt
INFO - 13:51:36: Optimization problem:
INFO - 13:51:36: minimize obj(x)
INFO - 13:51:36: with respect to x
INFO - 13:51:36: subject to constraints:
INFO - 13:51:36: cstr(x) <= 0.0
INFO - 13:51:36: over the design space:
INFO - 13:51:36: +------+-------------+-------+-------------+-------+
INFO - 13:51:36: | name | lower_bound | value | upper_bound | type |
INFO - 13:51:36: +------+-------------+-------+-------------+-------+
INFO - 13:51:36: | x | -1.5 | 0.5 | 1.5 | float |
INFO - 13:51:36: +------+-------------+-------+-------------+-------+
INFO - 13:51:36: Solving optimization problem with algorithm SLSQP:
INFO - 13:51:36: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 13:51:36:
INFO - 13:51:36: ... 10%|█ | 1/10 [00:00<00:00, 662.82 it/sec, obj=0.625]
INFO - 13:51:36:
INFO - 13:51:36: ... 20%|██ | 2/10 [00:00<00:00, 344.98 it/sec, obj=2.87]
INFO - 13:51:36:
INFO - 13:51:36: ... 30%|███ | 3/10 [00:00<00:00, 389.14 it/sec, obj=0.616]
INFO - 13:51:36:
INFO - 13:51:36: ... 40%|████ | 4/10 [00:00<00:00, 352.00 it/sec, obj=0.615]
INFO - 13:51:36:
INFO - 13:51:36: ... 50%|█████ | 5/10 [00:00<00:00, 331.20 it/sec, obj=0.615]
INFO - 13:51:36:
INFO - 13:51:36: ... 60%|██████ | 6/10 [00:00<00:00, 319.22 it/sec, obj=0.615]
INFO - 13:51:36:
INFO - 13:51:36: ... 70%|███████ | 7/10 [00:00<00:00, 313.22 it/sec, obj=0.615]
INFO - 13:51:36:
INFO - 13:51:36:
INFO - 13:51:36: Optimization result:
INFO - 13:51:36: Optimizer info:
INFO - 13:51:36: Status: None
INFO - 13:51:36: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 13:51:36: Number of calls to the objective function by the optimizer: 8
INFO - 13:51:36: Solution:
INFO - 13:51:36: The solution is feasible.
INFO - 13:51:36: Objective: 0.6150998205402526
INFO - 13:51:36: Standardized constraints:
INFO - 13:51:36: cstr = -0.7883188285028959
INFO - 13:51:36: Design space:
INFO - 13:51:36: +------+-------------+--------------------+-------------+-------+
INFO - 13:51:36: | name | lower_bound | value | upper_bound | type |
INFO - 13:51:36: +------+-------------+--------------------+-------------+-------+
INFO - 13:51:36: | x | -1.5 | 0.5773503115686811 | 1.5 | float |
INFO - 13:51:36: +------+-------------+--------------------+-------------+-------+
INFO - 13:51:36: *** End MDOScenario execution (time: 0:00:00.033639) ***
INFO - 13:51:36: ... 70%|███████ | 7/10 [00:00<00:00, 22.44 it/sec, obj=0.615]
INFO - 13:51:36:
INFO - 13:51:36: *** Start MDOScenario execution ***
INFO - 13:51:36: MDOScenario
INFO - 13:51:36: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 13:51:36: MDO formulation: DisciplinaryOpt
INFO - 13:51:36: Optimization problem:
INFO - 13:51:36: minimize obj(x)
INFO - 13:51:36: with respect to x
INFO - 13:51:36: subject to constraints:
INFO - 13:51:36: cstr(x) <= 0.0
INFO - 13:51:36: over the design space:
INFO - 13:51:36: +------+-------------+--------------------+-------------+-------+
INFO - 13:51:36: | name | lower_bound | value | upper_bound | type |
INFO - 13:51:36: +------+-------------+--------------------+-------------+-------+
INFO - 13:51:36: | x | -1.5 | 0.8333333333333335 | 1.5 | float |
INFO - 13:51:36: +------+-------------+--------------------+-------------+-------+
INFO - 13:51:36: Solving optimization problem with algorithm SLSQP:
INFO - 13:51:36: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 13:51:36:
INFO - 13:51:36: ... 10%|█ | 1/10 [00:00<00:00, 677.27 it/sec, obj=0.745]
INFO - 13:51:36:
INFO - 13:51:36: ... 20%|██ | 2/10 [00:00<00:00, 338.18 it/sec, obj=-.875]
INFO - 13:51:36:
INFO - 13:51:36: ... 30%|███ | 3/10 [00:00<00:00, 329.63 it/sec, obj=-.267]
INFO - 13:51:36:
INFO - 13:51:36: ... 40%|████ | 4/10 [00:00<00:00, 343.37 it/sec, obj=-.809]
INFO - 13:51:36:
INFO - 13:51:36: ... 50%|█████ | 5/10 [00:00<00:00, 363.45 it/sec, obj=-.868]
INFO - 13:51:36:
INFO - 13:51:36: ... 60%|██████ | 6/10 [00:00<00:00, 380.81 it/sec, obj=-.874]
INFO - 13:51:36:
INFO - 13:51:36: ... 70%|███████ | 7/10 [00:00<00:00, 368.03 it/sec, obj=-.266]
INFO - 13:51:36:
INFO - 13:51:36: ... 80%|████████ | 8/10 [00:00<00:00, 358.81 it/sec, obj=0.135]
INFO - 13:51:36:
INFO - 13:51:36: ... 90%|█████████ | 9/10 [00:00<00:00, 353.62 it/sec, obj=0.577]
INFO - 13:51:36:
INFO - 13:51:36: ... 100%|██████████| 10/10 [00:00<00:00, 365.20 it/sec, obj=0.288]
INFO - 13:51:36:
INFO - 13:51:36:
INFO - 13:51:36: Optimization result:
INFO - 13:51:36: Optimizer info:
INFO - 13:51:36: Status: None
INFO - 13:51:36: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 13:51:36: Number of calls to the objective function by the optimizer: 12
INFO - 13:51:36: Solution:
INFO - 13:51:36: The solution is feasible.
INFO - 13:51:36: Objective: 0.7453703703703706
INFO - 13:51:36: Standardized constraints:
INFO - 13:51:36: cstr = -0.2499785665294918
INFO - 13:51:36: Design space:
INFO - 13:51:36: +------+-------------+--------------------+-------------+-------+
INFO - 13:51:36: | name | lower_bound | value | upper_bound | type |
INFO - 13:51:36: +------+-------------+--------------------+-------------+-------+
INFO - 13:51:36: | x | -1.5 | 0.8333333333333335 | 1.5 | float |
INFO - 13:51:36: +------+-------------+--------------------+-------------+-------+
INFO - 13:51:36: *** End MDOScenario execution (time: 0:00:00.040540) ***
INFO - 13:51:36: ... 80%|████████ | 8/10 [00:00<00:00, 22.54 it/sec, obj=0.745]
INFO - 13:51:36:
INFO - 13:51:36: *** Start MDOScenario execution ***
INFO - 13:51:36: MDOScenario
INFO - 13:51:36: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 13:51:36: MDO formulation: DisciplinaryOpt
INFO - 13:51:36: Optimization problem:
INFO - 13:51:36: minimize obj(x)
INFO - 13:51:36: with respect to x
INFO - 13:51:36: subject to constraints:
INFO - 13:51:36: cstr(x) <= 0.0
INFO - 13:51:36: over the design space:
INFO - 13:51:36: +------+-------------+-------------------+-------------+-------+
INFO - 13:51:36: | name | lower_bound | value | upper_bound | type |
INFO - 13:51:36: +------+-------------+-------------------+-------------+-------+
INFO - 13:51:36: | x | -1.5 | 1.166666666666667 | 1.5 | float |
INFO - 13:51:36: +------+-------------+-------------------+-------------+-------+
INFO - 13:51:36: Solving optimization problem with algorithm SLSQP:
INFO - 13:51:36: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 13:51:36:
INFO - 13:51:36: ... 10%|█ | 1/10 [00:00<00:00, 686.35 it/sec, obj=1.42]
INFO - 13:51:36:
INFO - 13:51:36: ... 20%|██ | 2/10 [00:00<00:00, 343.51 it/sec, obj=-.875]
INFO - 13:51:36:
INFO - 13:51:36: ... 30%|███ | 3/10 [00:00<00:00, 331.83 it/sec, obj=-.267]
INFO - 13:51:36:
INFO - 13:51:36: ... 40%|████ | 4/10 [00:00<00:00, 362.09 it/sec, obj=-.809]
INFO - 13:51:36:
INFO - 13:51:36: ... 50%|█████ | 5/10 [00:00<00:00, 377.19 it/sec, obj=-.868]
INFO - 13:51:36:
INFO - 13:51:36: ... 60%|██████ | 6/10 [00:00<00:00, 392.31 it/sec, obj=-.874]
INFO - 13:51:36:
INFO - 13:51:36: ... 70%|███████ | 7/10 [00:00<00:00, 377.97 it/sec, obj=-.266]
INFO - 13:51:36:
INFO - 13:51:36: ... 80%|████████ | 8/10 [00:00<00:00, 367.44 it/sec, obj=0.135]
INFO - 13:51:36:
INFO - 13:51:36: ... 90%|█████████ | 9/10 [00:00<00:00, 359.70 it/sec, obj=0.577]
INFO - 13:51:36:
INFO - 13:51:36: ... 100%|██████████| 10/10 [00:00<00:00, 371.04 it/sec, obj=0.288]
INFO - 13:51:36:
WARNING - 13:51:36: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 13:51:36:
INFO - 13:51:36: Optimization result:
INFO - 13:51:36: Optimizer info:
INFO - 13:51:36: Status: None
INFO - 13:51:36: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 13:51:36: Number of calls to the objective function by the optimizer: 12
INFO - 13:51:36: Solution:
WARNING - 13:51:36: The solution is not feasible.
INFO - 13:51:36: Objective: 0.28811314244698893
INFO - 13:51:36: Standardized constraints:
INFO - 13:51:36: cstr = 0.1514407501016959
INFO - 13:51:36: Design space:
INFO - 13:51:36: +------+-------------+--------------------+-------------+-------+
INFO - 13:51:36: | name | lower_bound | value | upper_bound | type |
INFO - 13:51:36: +------+-------------+--------------------+-------------+-------+
INFO - 13:51:36: | x | -1.5 | -1.252370379420967 | 1.5 | float |
INFO - 13:51:36: +------+-------------+--------------------+-------------+-------+
INFO - 13:51:36: *** End MDOScenario execution (time: 0:00:00.040259) ***
INFO - 13:51:36: ... 90%|█████████ | 9/10 [00:00<00:00, 22.68 it/sec, obj=0.288]
INFO - 13:51:36:
INFO - 13:51:36: *** Start MDOScenario execution ***
INFO - 13:51:36: MDOScenario
INFO - 13:51:36: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 13:51:36: MDO formulation: DisciplinaryOpt
INFO - 13:51:36: Optimization problem:
INFO - 13:51:36: minimize obj(x)
INFO - 13:51:36: with respect to x
INFO - 13:51:36: subject to constraints:
INFO - 13:51:36: cstr(x) <= 0.0
INFO - 13:51:36: over the design space:
INFO - 13:51:36: +------+-------------+-------+-------------+-------+
INFO - 13:51:36: | name | lower_bound | value | upper_bound | type |
INFO - 13:51:36: +------+-------------+-------+-------------+-------+
INFO - 13:51:36: | x | -1.5 | 1.5 | 1.5 | float |
INFO - 13:51:36: +------+-------------+-------+-------------+-------+
INFO - 13:51:36: Solving optimization problem with algorithm SLSQP:
INFO - 13:51:36: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 13:51:36:
INFO - 13:51:36: ... 10%|█ | 1/10 [00:00<00:00, 678.25 it/sec, obj=2.88]
INFO - 13:51:36:
INFO - 13:51:36: ... 20%|██ | 2/10 [00:00<00:00, 336.46 it/sec, obj=-.875]
INFO - 13:51:36:
INFO - 13:51:36: ... 30%|███ | 3/10 [00:00<00:00, 324.14 it/sec, obj=-.267]
INFO - 13:51:36:
INFO - 13:51:36: ... 40%|████ | 4/10 [00:00<00:00, 354.19 it/sec, obj=-.809]
INFO - 13:51:36:
INFO - 13:51:36: ... 50%|█████ | 5/10 [00:00<00:00, 376.06 it/sec, obj=-.868]
INFO - 13:51:36:
INFO - 13:51:36: ... 60%|██████ | 6/10 [00:00<00:00, 391.67 it/sec, obj=-.874]
INFO - 13:51:36:
INFO - 13:51:36: ... 70%|███████ | 7/10 [00:00<00:00, 376.02 it/sec, obj=-.266]
INFO - 13:51:36:
INFO - 13:51:36: ... 80%|████████ | 8/10 [00:00<00:00, 364.78 it/sec, obj=0.135]
INFO - 13:51:36:
INFO - 13:51:36: ... 90%|█████████ | 9/10 [00:00<00:00, 358.24 it/sec, obj=0.577]
INFO - 13:51:36:
INFO - 13:51:36: ... 100%|██████████| 10/10 [00:00<00:00, 369.18 it/sec, obj=0.288]
INFO - 13:51:36:
WARNING - 13:51:36: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 13:51:36:
INFO - 13:51:36: Optimization result:
INFO - 13:51:36: Optimizer info:
INFO - 13:51:36: Status: None
INFO - 13:51:36: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 13:51:36: Number of calls to the objective function by the optimizer: 12
INFO - 13:51:36: Solution:
WARNING - 13:51:36: The solution is not feasible.
INFO - 13:51:36: Objective: 0.28811314244587316
INFO - 13:51:36: Standardized constraints:
INFO - 13:51:36: cstr = 0.15144075010180735
INFO - 13:51:36: Design space:
INFO - 13:51:36: +------+-------------+--------------------+-------------+-------+
INFO - 13:51:36: | name | lower_bound | value | upper_bound | type |
INFO - 13:51:36: +------+-------------+--------------------+-------------+-------+
INFO - 13:51:36: | x | -1.5 | -1.252370379421268 | 1.5 | float |
INFO - 13:51:36: +------+-------------+--------------------+-------------+-------+
INFO - 13:51:36: *** End MDOScenario execution (time: 0:00:00.040297) ***
INFO - 13:51:36: ... 100%|██████████| 10/10 [00:00<00:00, 22.80 it/sec, obj=0.288]
INFO - 13:51:36: Optimization result:
INFO - 13:51:36: Optimizer info:
INFO - 13:51:36: Status: None
INFO - 13:51:36: Message: None
INFO - 13:51:36: Number of calls to the objective function by the optimizer: 10
INFO - 13:51:36: Solution:
INFO - 13:51:36: The solution is feasible.
INFO - 13:51:36: Objective: 0.6150998205402495
INFO - 13:51:36: Standardized constraints:
INFO - 13:51:36: cstr = -0.7883188793606977
INFO - 13:51:36: Design space:
INFO - 13:51:36: +------+-------------+---------------------+-------------+-------+
INFO - 13:51:36: | name | lower_bound | value | upper_bound | type |
INFO - 13:51:36: +------+-------------+---------------------+-------------+-------+
INFO - 13:51:36: | x | -1.5 | -0.1666666666666667 | 1.5 | float |
INFO - 13:51:36: +------+-------------+---------------------+-------------+-------+
INFO - 13:51:36: *** End DOEScenario execution (time: 0:00:00.450950) ***
{'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 0x7f007924f280>
Total running time of the script: (0 minutes 0.660 seconds)