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 - 08:23:51:
INFO - 08:23:51: *** Start DOEScenario execution ***
INFO - 08:23:51: DOEScenario
INFO - 08:23:51: Disciplines: MDOScenario_adapter
INFO - 08:23:51: MDO formulation: DisciplinaryOpt
INFO - 08:23:51: Optimization problem:
INFO - 08:23:51: minimize obj(x)
INFO - 08:23:51: with respect to x
INFO - 08:23:51: subject to constraints:
INFO - 08:23:51: cstr(x) <= 0.0
INFO - 08:23:51: over the design space:
INFO - 08:23:51: +------+-------------+-------+-------------+-------+
INFO - 08:23:51: | name | lower_bound | value | upper_bound | type |
INFO - 08:23:51: +------+-------------+-------+-------------+-------+
INFO - 08:23:51: | x | -1.5 | 1.5 | 1.5 | float |
INFO - 08:23:51: +------+-------------+-------+-------------+-------+
INFO - 08:23:51: Solving optimization problem with algorithm fullfact:
INFO - 08:23:51: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 08:23:51:
INFO - 08:23:51: *** Start MDOScenario execution ***
INFO - 08:23:51: MDOScenario
INFO - 08:23:51: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 08:23:51: MDO formulation: DisciplinaryOpt
INFO - 08:23:51: Optimization problem:
INFO - 08:23:51: minimize obj(x)
INFO - 08:23:51: with respect to x
INFO - 08:23:51: subject to constraints:
INFO - 08:23:51: cstr(x) <= 0.0
INFO - 08:23:51: over the design space:
INFO - 08:23:51: +------+-------------+-------+-------------+-------+
INFO - 08:23:51: | name | lower_bound | value | upper_bound | type |
INFO - 08:23:51: +------+-------------+-------+-------------+-------+
INFO - 08:23:51: | x | -1.5 | -1.5 | 1.5 | float |
INFO - 08:23:51: +------+-------------+-------+-------------+-------+
INFO - 08:23:51: Solving optimization problem with algorithm SLSQP:
INFO - 08:23:51: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 08:23:51:
INFO - 08:23:51: ... 10%|█ | 1/10 [00:00<00:00, 146.98 it/sec, obj=-.875]
INFO - 08:23:51:
INFO - 08:23:51: ... 20%|██ | 2/10 [00:00<00:00, 183.60 it/sec, obj=-.267]
INFO - 08:23:51:
INFO - 08:23:51: ... 30%|███ | 3/10 [00:00<00:00, 241.04 it/sec, obj=-.809]
INFO - 08:23:51:
INFO - 08:23:51: ... 40%|████ | 4/10 [00:00<00:00, 284.40 it/sec, obj=-.868]
INFO - 08:23:51:
INFO - 08:23:51: ... 50%|█████ | 5/10 [00:00<00:00, 319.67 it/sec, obj=-.872]
INFO - 08:23:51:
INFO - 08:23:51: ... 60%|██████ | 6/10 [00:00<00:00, 327.59 it/sec, obj=-.265]
INFO - 08:23:51:
INFO - 08:23:51: ... 70%|███████ | 7/10 [00:00<00:00, 333.33 it/sec, obj=0.136]
INFO - 08:23:51:
INFO - 08:23:51: ... 80%|████████ | 8/10 [00:00<00:00, 338.74 it/sec, obj=0.579]
INFO - 08:23:51:
INFO - 08:23:51: ... 90%|█████████ | 9/10 [00:00<00:00, 356.34 it/sec, obj=0.289]
INFO - 08:23:51:
INFO - 08:23:51: ... 100%|██████████| 10/10 [00:00<00:00, 358.92 it/sec, obj=1.25]
INFO - 08:23:51:
WARNING - 08:23:51: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 08:23:51:
INFO - 08:23:51: Optimization result:
INFO - 08:23:51: Optimizer info:
INFO - 08:23:51: Status: None
INFO - 08:23:51: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 08:23:51: Number of calls to the objective function by the optimizer: 12
INFO - 08:23:51: Solution:
WARNING - 08:23:51: The solution is not feasible.
INFO - 08:23:51: Objective: 0.2888129873625884
INFO - 08:23:51: Standardized constraints:
INFO - 08:23:51: cstr = 0.1513713660745195
INFO - 08:23:51: Design space:
INFO - 08:23:51: +------+-------------+--------------------+-------------+-------+
INFO - 08:23:51: | name | lower_bound | value | upper_bound | type |
INFO - 08:23:51: +------+-------------+--------------------+-------------+-------+
INFO - 08:23:51: | x | -1.5 | -1.252181466244097 | 1.5 | float |
INFO - 08:23:51: +------+-------------+--------------------+-------------+-------+
INFO - 08:23:51: *** End MDOScenario execution (time: 0:00:00.039123) ***
INFO - 08:23:51: ... 10%|█ | 1/10 [00:00<00:00, 22.16 it/sec, obj=0.289]
INFO - 08:23:51:
INFO - 08:23:51: *** Start MDOScenario execution ***
INFO - 08:23:51: MDOScenario
INFO - 08:23:51: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 08:23:51: MDO formulation: DisciplinaryOpt
INFO - 08:23:51: Optimization problem:
INFO - 08:23:51: minimize obj(x)
INFO - 08:23:51: with respect to x
INFO - 08:23:51: subject to constraints:
INFO - 08:23:51: cstr(x) <= 0.0
INFO - 08:23:51: over the design space:
INFO - 08:23:51: +------+-------------+--------------------+-------------+-------+
INFO - 08:23:51: | name | lower_bound | value | upper_bound | type |
INFO - 08:23:51: +------+-------------+--------------------+-------------+-------+
INFO - 08:23:51: | x | -1.5 | -1.166666666666667 | 1.5 | float |
INFO - 08:23:51: +------+-------------+--------------------+-------------+-------+
INFO - 08:23:51: Solving optimization problem with algorithm SLSQP:
INFO - 08:23:51: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 08:23:51:
INFO - 08:23:51: ... 10%|█ | 1/10 [00:00<00:00, 967.77 it/sec, obj=0.579]
INFO - 08:23:51:
INFO - 08:23:51: ... 20%|██ | 2/10 [00:00<00:00, 430.10 it/sec, obj=-.875]
INFO - 08:23:51:
INFO - 08:23:51: ... 30%|███ | 3/10 [00:00<00:00, 415.03 it/sec, obj=-.267]
INFO - 08:23:51:
INFO - 08:23:51: ... 40%|████ | 4/10 [00:00<00:00, 453.38 it/sec, obj=-.809]
INFO - 08:23:51:
INFO - 08:23:51: ... 50%|█████ | 5/10 [00:00<00:00, 478.29 it/sec, obj=-.868]
INFO - 08:23:51:
INFO - 08:23:51: ... 60%|██████ | 6/10 [00:00<00:00, 497.72 it/sec, obj=-.874]
INFO - 08:23:51:
INFO - 08:23:51: ... 70%|███████ | 7/10 [00:00<00:00, 474.21 it/sec, obj=-.266]
INFO - 08:23:51:
INFO - 08:23:51: ... 80%|████████ | 8/10 [00:00<00:00, 459.94 it/sec, obj=0.135]
INFO - 08:23:51:
INFO - 08:23:51: ... 90%|█████████ | 9/10 [00:00<00:00, 449.67 it/sec, obj=0.577]
INFO - 08:23:51:
INFO - 08:23:51: ... 100%|██████████| 10/10 [00:00<00:00, 462.24 it/sec, obj=0.288]
INFO - 08:23:51:
WARNING - 08:23:51: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 08:23:51:
INFO - 08:23:51: Optimization result:
INFO - 08:23:51: Optimizer info:
INFO - 08:23:51: Status: None
INFO - 08:23:51: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 08:23:51: Number of calls to the objective function by the optimizer: 12
INFO - 08:23:51: Solution:
WARNING - 08:23:51: The solution is not feasible.
INFO - 08:23:51: Objective: 0.28811314244670916
INFO - 08:23:51: Standardized constraints:
INFO - 08:23:51: cstr = 0.15144075010172386
INFO - 08:23:51: Design space:
INFO - 08:23:51: +------+-------------+--------------------+-------------+-------+
INFO - 08:23:51: | name | lower_bound | value | upper_bound | type |
INFO - 08:23:51: +------+-------------+--------------------+-------------+-------+
INFO - 08:23:51: | x | -1.5 | -1.252370379421043 | 1.5 | float |
INFO - 08:23:51: +------+-------------+--------------------+-------------+-------+
INFO - 08:23:51: *** End MDOScenario execution (time: 0:00:00.033551) ***
INFO - 08:23:51: ... 20%|██ | 2/10 [00:00<00:00, 25.04 it/sec, obj=0.288]
INFO - 08:23:51:
INFO - 08:23:51: *** Start MDOScenario execution ***
INFO - 08:23:51: MDOScenario
INFO - 08:23:51: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 08:23:51: MDO formulation: DisciplinaryOpt
INFO - 08:23:51: Optimization problem:
INFO - 08:23:51: minimize obj(x)
INFO - 08:23:51: with respect to x
INFO - 08:23:51: subject to constraints:
INFO - 08:23:51: cstr(x) <= 0.0
INFO - 08:23:51: over the design space:
INFO - 08:23:51: +------+-------------+---------------------+-------------+-------+
INFO - 08:23:51: | name | lower_bound | value | upper_bound | type |
INFO - 08:23:51: +------+-------------+---------------------+-------------+-------+
INFO - 08:23:51: | x | -1.5 | -0.8333333333333334 | 1.5 | float |
INFO - 08:23:51: +------+-------------+---------------------+-------------+-------+
INFO - 08:23:51: Solving optimization problem with algorithm SLSQP:
INFO - 08:23:51: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 08:23:51:
INFO - 08:23:51: ... 10%|█ | 1/10 [00:00<00:00, 963.54 it/sec, obj=1.25]
INFO - 08:23:51:
INFO - 08:23:51: ... 20%|██ | 2/10 [00:00<00:00, 433.79 it/sec, obj=-.875]
INFO - 08:23:51:
INFO - 08:23:51: ... 30%|███ | 3/10 [00:00<00:00, 493.25 it/sec, obj=1.01]
INFO - 08:23:51:
INFO - 08:23:51: ... 40%|████ | 4/10 [00:00<00:00, 446.68 it/sec, obj=-.875]
INFO - 08:23:51:
INFO - 08:23:51: ... 50%|█████ | 5/10 [00:00<00:00, 472.60 it/sec, obj=0.819]
INFO - 08:23:51:
INFO - 08:23:51: ... 60%|██████ | 6/10 [00:00<00:00, 453.79 it/sec, obj=-.875]
INFO - 08:23:51:
INFO - 08:23:51: ... 70%|███████ | 7/10 [00:00<00:00, 470.53 it/sec, obj=0.693]
INFO - 08:23:51:
INFO - 08:23:51: ... 80%|████████ | 8/10 [00:00<00:00, 456.42 it/sec, obj=-.875]
INFO - 08:23:51:
INFO - 08:23:51: ... 90%|█████████ | 9/10 [00:00<00:00, 469.82 it/sec, obj=0.584]
INFO - 08:23:51:
INFO - 08:23:51: ... 100%|██████████| 10/10 [00:00<00:00, 458.54 it/sec, obj=-.875]
INFO - 08:23:51:
WARNING - 08:23:51: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 08:23:51:
INFO - 08:23:51: Optimization result:
INFO - 08:23:51: Optimizer info:
INFO - 08:23:51: Status: None
INFO - 08:23:51: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 08:23:51: Number of calls to the objective function by the optimizer: 12
INFO - 08:23:51: Solution:
WARNING - 08:23:51: The solution is not feasible.
INFO - 08:23:51: Objective: 0.5837798748832244
INFO - 08:23:51: Standardized constraints:
INFO - 08:23:51: cstr = 0.19806414473664136
INFO - 08:23:51: Design space:
INFO - 08:23:51: +------+-------------+--------------------+-------------+-------+
INFO - 08:23:51: | name | lower_bound | value | upper_bound | type |
INFO - 08:23:51: +------+-------------+--------------------+-------------+-------+
INFO - 08:23:51: | x | -1.5 | -1.165017254128868 | 1.5 | float |
INFO - 08:23:51: +------+-------------+--------------------+-------------+-------+
INFO - 08:23:51: *** End MDOScenario execution (time: 0:00:00.032704) ***
INFO - 08:23:51: ... 30%|███ | 3/10 [00:00<00:00, 26.18 it/sec, obj=0.584]
INFO - 08:23:51:
INFO - 08:23:51: *** Start MDOScenario execution ***
INFO - 08:23:51: MDOScenario
INFO - 08:23:51: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 08:23:51: MDO formulation: DisciplinaryOpt
INFO - 08:23:51: Optimization problem:
INFO - 08:23:51: minimize obj(x)
INFO - 08:23:51: with respect to x
INFO - 08:23:51: subject to constraints:
INFO - 08:23:51: cstr(x) <= 0.0
INFO - 08:23:51: over the design space:
INFO - 08:23:51: +------+-------------+-------+-------------+-------+
INFO - 08:23:51: | name | lower_bound | value | upper_bound | type |
INFO - 08:23:51: +------+-------------+-------+-------------+-------+
INFO - 08:23:51: | x | -1.5 | -0.5 | 1.5 | float |
INFO - 08:23:51: +------+-------------+-------+-------------+-------+
INFO - 08:23:51: Solving optimization problem with algorithm SLSQP:
INFO - 08:23:51: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 08:23:51:
INFO - 08:23:51: ... 10%|█ | 1/10 [00:00<00:00, 965.10 it/sec, obj=1.38]
INFO - 08:23:51:
INFO - 08:23:51: ... 20%|██ | 2/10 [00:00<00:00, 444.38 it/sec, obj=2.88]
INFO - 08:23:51:
INFO - 08:23:51: ... 30%|███ | 3/10 [00:00<00:00, 501.11 it/sec, obj=1.23]
INFO - 08:23:51:
INFO - 08:23:51: ... 40%|████ | 4/10 [00:00<00:00, 461.53 it/sec, obj=2.87]
INFO - 08:23:51:
INFO - 08:23:51: ... 50%|█████ | 5/10 [00:00<00:00, 486.75 it/sec, obj=0.848]
INFO - 08:23:51:
INFO - 08:23:51: ... 60%|██████ | 6/10 [00:00<00:00, 457.97 it/sec, obj=0.658]
INFO - 08:23:51:
INFO - 08:23:51: ... 70%|███████ | 7/10 [00:00<00:00, 433.11 it/sec, obj=0.643]
INFO - 08:23:51:
INFO - 08:23:51: ... 80%|████████ | 8/10 [00:00<00:00, 418.05 it/sec, obj=0.616]
INFO - 08:23:51:
INFO - 08:23:51: ... 90%|█████████ | 9/10 [00:00<00:00, 406.81 it/sec, obj=0.615]
INFO - 08:23:51:
INFO - 08:23:51: ... 100%|██████████| 10/10 [00:00<00:00, 398.26 it/sec, obj=0.615]
INFO - 08:23:51:
INFO - 08:23:51:
INFO - 08:23:51: Optimization result:
INFO - 08:23:51: Optimizer info:
INFO - 08:23:51: Status: None
INFO - 08:23:51: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 08:23:51: Number of calls to the objective function by the optimizer: 13
INFO - 08:23:51: Solution:
INFO - 08:23:51: The solution is feasible.
INFO - 08:23:51: Objective: 0.6150998219543254
INFO - 08:23:51: Standardized constraints:
INFO - 08:23:51: cstr = -0.788285881879476
INFO - 08:23:51: Design space:
INFO - 08:23:51: +------+-------------+--------------------+-------------+-------+
INFO - 08:23:51: | name | lower_bound | value | upper_bound | type |
INFO - 08:23:51: +------+-------------+--------------------+-------------+-------+
INFO - 08:23:51: | x | -1.5 | 0.5773788419679762 | 1.5 | float |
INFO - 08:23:51: +------+-------------+--------------------+-------------+-------+
INFO - 08:23:51: *** End MDOScenario execution (time: 0:00:00.036878) ***
INFO - 08:23:51: ... 40%|████ | 4/10 [00:00<00:00, 26.20 it/sec, obj=0.615]
INFO - 08:23:51:
INFO - 08:23:51: *** Start MDOScenario execution ***
INFO - 08:23:51: MDOScenario
INFO - 08:23:51: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 08:23:51: MDO formulation: DisciplinaryOpt
INFO - 08:23:51: Optimization problem:
INFO - 08:23:51: minimize obj(x)
INFO - 08:23:51: with respect to x
INFO - 08:23:51: subject to constraints:
INFO - 08:23:51: cstr(x) <= 0.0
INFO - 08:23:51: over the design space:
INFO - 08:23:51: +------+-------------+---------------------+-------------+-------+
INFO - 08:23:51: | name | lower_bound | value | upper_bound | type |
INFO - 08:23:51: +------+-------------+---------------------+-------------+-------+
INFO - 08:23:51: | x | -1.5 | -0.1666666666666667 | 1.5 | float |
INFO - 08:23:51: +------+-------------+---------------------+-------------+-------+
INFO - 08:23:51: Solving optimization problem with algorithm SLSQP:
INFO - 08:23:51: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 08:23:51:
INFO - 08:23:51: ... 10%|█ | 1/10 [00:00<00:00, 958.26 it/sec, obj=1.16]
INFO - 08:23:51:
INFO - 08:23:51: ... 20%|██ | 2/10 [00:00<00:00, 441.34 it/sec, obj=2.87]
INFO - 08:23:51:
INFO - 08:23:51: ... 30%|███ | 3/10 [00:00<00:00, 491.94 it/sec, obj=0.785]
INFO - 08:23:51:
INFO - 08:23:51: ... 40%|████ | 4/10 [00:00<00:00, 439.23 it/sec, obj=2.88]
INFO - 08:23:51:
INFO - 08:23:51: ... 50%|█████ | 5/10 [00:00<00:00, 449.26 it/sec, obj=0.644]
INFO - 08:23:51:
INFO - 08:23:51: ... 60%|██████ | 6/10 [00:00<00:00, 424.45 it/sec, obj=0.624]
INFO - 08:23:51:
INFO - 08:23:51: ... 70%|███████ | 7/10 [00:00<00:00, 408.23 it/sec, obj=0.615]
INFO - 08:23:51:
INFO - 08:23:51: ... 80%|████████ | 8/10 [00:00<00:00, 396.85 it/sec, obj=0.615]
INFO - 08:23:51:
INFO - 08:23:51: ... 90%|█████████ | 9/10 [00:00<00:00, 388.57 it/sec, obj=0.615]
INFO - 08:23:51:
INFO - 08:23:51: ... 100%|██████████| 10/10 [00:00<00:00, 382.46 it/sec, obj=0.615]
INFO - 08:23:51:
INFO - 08:23:51:
INFO - 08:23:51: Optimization result:
INFO - 08:23:51: Optimizer info:
INFO - 08:23:51: Status: None
INFO - 08:23:51: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 08:23:51: Number of calls to the objective function by the optimizer: 12
INFO - 08:23:51: Solution:
INFO - 08:23:51: The solution is feasible.
INFO - 08:23:51: Objective: 0.6150998205402495
INFO - 08:23:51: Standardized constraints:
INFO - 08:23:51: cstr = -0.7883188793606977
INFO - 08:23:51: Design space:
INFO - 08:23:51: +------+-------------+--------------------+-------------+-------+
INFO - 08:23:51: | name | lower_bound | value | upper_bound | type |
INFO - 08:23:51: +------+-------------+--------------------+-------------+-------+
INFO - 08:23:51: | x | -1.5 | 0.5773502675245377 | 1.5 | float |
INFO - 08:23:51: +------+-------------+--------------------+-------------+-------+
INFO - 08:23:51: *** End MDOScenario execution (time: 0:00:00.038131) ***
INFO - 08:23:51: ... 50%|█████ | 5/10 [00:00<00:00, 26.05 it/sec, obj=0.615]
INFO - 08:23:51:
INFO - 08:23:51: *** Start MDOScenario execution ***
INFO - 08:23:51: MDOScenario
INFO - 08:23:51: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 08:23:51: MDO formulation: DisciplinaryOpt
INFO - 08:23:51: Optimization problem:
INFO - 08:23:51: minimize obj(x)
INFO - 08:23:51: with respect to x
INFO - 08:23:51: subject to constraints:
INFO - 08:23:51: cstr(x) <= 0.0
INFO - 08:23:51: over the design space:
INFO - 08:23:51: +------+-------------+--------------------+-------------+-------+
INFO - 08:23:51: | name | lower_bound | value | upper_bound | type |
INFO - 08:23:51: +------+-------------+--------------------+-------------+-------+
INFO - 08:23:51: | x | -1.5 | 0.1666666666666667 | 1.5 | float |
INFO - 08:23:51: +------+-------------+--------------------+-------------+-------+
INFO - 08:23:51: Solving optimization problem with algorithm SLSQP:
INFO - 08:23:51: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 08:23:51:
INFO - 08:23:51: ... 10%|█ | 1/10 [00:00<00:00, 983.19 it/sec, obj=0.838]
INFO - 08:23:51:
INFO - 08:23:51: ... 20%|██ | 2/10 [00:00<00:00, 449.19 it/sec, obj=2.88]
INFO - 08:23:51:
INFO - 08:23:51: ... 30%|███ | 3/10 [00:00<00:00, 507.58 it/sec, obj=0.656]
INFO - 08:23:51:
INFO - 08:23:51: ... 40%|████ | 4/10 [00:00<00:00, 448.41 it/sec, obj=0.639]
INFO - 08:23:51:
INFO - 08:23:51: ... 50%|█████ | 5/10 [00:00<00:00, 412.34 it/sec, obj=0.616]
INFO - 08:23:51:
INFO - 08:23:51: ... 60%|██████ | 6/10 [00:00<00:00, 396.75 it/sec, obj=0.615]
INFO - 08:23:51:
INFO - 08:23:51: ... 70%|███████ | 7/10 [00:00<00:00, 386.97 it/sec, obj=0.615]
INFO - 08:23:51:
INFO - 08:23:51: ... 80%|████████ | 8/10 [00:00<00:00, 379.50 it/sec, obj=0.615]
INFO - 08:23:51:
INFO - 08:23:51: ... 90%|█████████ | 9/10 [00:00<00:00, 373.13 it/sec, obj=0.615]
INFO - 08:23:51:
INFO - 08:23:51:
INFO - 08:23:51: Optimization result:
INFO - 08:23:51: Optimizer info:
INFO - 08:23:51: Status: None
INFO - 08:23:51: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 08:23:51: Number of calls to the objective function by the optimizer: 10
INFO - 08:23:51: Solution:
INFO - 08:23:51: The solution is feasible.
INFO - 08:23:51: Objective: 0.6150998205402508
INFO - 08:23:51: Standardized constraints:
INFO - 08:23:51: cstr = -0.7883189092934597
INFO - 08:23:51: Design space:
INFO - 08:23:51: +------+-------------+--------------------+-------------+-------+
INFO - 08:23:51: | name | lower_bound | value | upper_bound | type |
INFO - 08:23:51: +------+-------------+--------------------+-------------+-------+
INFO - 08:23:51: | x | -1.5 | 0.5773502416020033 | 1.5 | float |
INFO - 08:23:51: +------+-------------+--------------------+-------------+-------+
INFO - 08:23:51: *** End MDOScenario execution (time: 0:00:00.034066) ***
INFO - 08:23:51: ... 60%|██████ | 6/10 [00:00<00:00, 26.31 it/sec, obj=0.615]
INFO - 08:23:51:
INFO - 08:23:51: *** Start MDOScenario execution ***
INFO - 08:23:51: MDOScenario
INFO - 08:23:51: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 08:23:51: MDO formulation: DisciplinaryOpt
INFO - 08:23:51: Optimization problem:
INFO - 08:23:51: minimize obj(x)
INFO - 08:23:51: with respect to x
INFO - 08:23:51: subject to constraints:
INFO - 08:23:51: cstr(x) <= 0.0
INFO - 08:23:51: over the design space:
INFO - 08:23:51: +------+-------------+-------+-------------+-------+
INFO - 08:23:51: | name | lower_bound | value | upper_bound | type |
INFO - 08:23:51: +------+-------------+-------+-------------+-------+
INFO - 08:23:51: | x | -1.5 | 0.5 | 1.5 | float |
INFO - 08:23:51: +------+-------------+-------+-------------+-------+
INFO - 08:23:51: Solving optimization problem with algorithm SLSQP:
INFO - 08:23:51: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 08:23:51:
INFO - 08:23:51: ... 10%|█ | 1/10 [00:00<00:00, 979.06 it/sec, obj=0.625]
INFO - 08:23:51:
INFO - 08:23:51: ... 20%|██ | 2/10 [00:00<00:00, 453.93 it/sec, obj=2.87]
INFO - 08:23:51:
INFO - 08:23:51: ... 30%|███ | 3/10 [00:00<00:00, 511.04 it/sec, obj=0.616]
INFO - 08:23:51:
INFO - 08:23:51: ... 40%|████ | 4/10 [00:00<00:00, 449.88 it/sec, obj=0.615]
INFO - 08:23:51:
INFO - 08:23:51: ... 50%|█████ | 5/10 [00:00<00:00, 419.09 it/sec, obj=0.615]
INFO - 08:23:51:
INFO - 08:23:51: ... 60%|██████ | 6/10 [00:00<00:00, 402.20 it/sec, obj=0.615]
INFO - 08:23:51:
INFO - 08:23:51: ... 70%|███████ | 7/10 [00:00<00:00, 391.59 it/sec, obj=0.615]
INFO - 08:23:51:
INFO - 08:23:51:
INFO - 08:23:51: Optimization result:
INFO - 08:23:51: Optimizer info:
INFO - 08:23:51: Status: None
INFO - 08:23:51: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 08:23:51: Number of calls to the objective function by the optimizer: 8
INFO - 08:23:51: Solution:
INFO - 08:23:51: The solution is feasible.
INFO - 08:23:51: Objective: 0.6150998205402526
INFO - 08:23:51: Standardized constraints:
INFO - 08:23:51: cstr = -0.7883188285028959
INFO - 08:23:51: Design space:
INFO - 08:23:51: +------+-------------+--------------------+-------------+-------+
INFO - 08:23:51: | name | lower_bound | value | upper_bound | type |
INFO - 08:23:51: +------+-------------+--------------------+-------------+-------+
INFO - 08:23:51: | x | -1.5 | 0.5773503115686811 | 1.5 | float |
INFO - 08:23:51: +------+-------------+--------------------+-------------+-------+
INFO - 08:23:51: *** End MDOScenario execution (time: 0:00:00.027734) ***
INFO - 08:23:51: ... 70%|███████ | 7/10 [00:00<00:00, 27.16 it/sec, obj=0.615]
INFO - 08:23:51:
INFO - 08:23:51: *** Start MDOScenario execution ***
INFO - 08:23:51: MDOScenario
INFO - 08:23:51: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 08:23:51: MDO formulation: DisciplinaryOpt
INFO - 08:23:52: Optimization problem:
INFO - 08:23:52: minimize obj(x)
INFO - 08:23:52: with respect to x
INFO - 08:23:52: subject to constraints:
INFO - 08:23:52: cstr(x) <= 0.0
INFO - 08:23:52: over the design space:
INFO - 08:23:52: +------+-------------+--------------------+-------------+-------+
INFO - 08:23:52: | name | lower_bound | value | upper_bound | type |
INFO - 08:23:52: +------+-------------+--------------------+-------------+-------+
INFO - 08:23:52: | x | -1.5 | 0.8333333333333335 | 1.5 | float |
INFO - 08:23:52: +------+-------------+--------------------+-------------+-------+
INFO - 08:23:52: Solving optimization problem with algorithm SLSQP:
INFO - 08:23:52: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 08:23:52:
INFO - 08:23:52: ... 10%|█ | 1/10 [00:00<00:00, 968.44 it/sec, obj=0.745]
INFO - 08:23:52:
INFO - 08:23:52: ... 20%|██ | 2/10 [00:00<00:00, 454.35 it/sec, obj=-.875]
INFO - 08:23:52:
INFO - 08:23:52: ... 30%|███ | 3/10 [00:00<00:00, 430.33 it/sec, obj=-.267]
INFO - 08:23:52:
INFO - 08:23:52: ... 40%|████ | 4/10 [00:00<00:00, 448.21 it/sec, obj=-.809]
INFO - 08:23:52:
INFO - 08:23:52: ... 50%|█████ | 5/10 [00:00<00:00, 473.06 it/sec, obj=-.868]
INFO - 08:23:52:
INFO - 08:23:52: ... 60%|██████ | 6/10 [00:00<00:00, 493.21 it/sec, obj=-.874]
INFO - 08:23:52:
INFO - 08:23:52: ... 70%|███████ | 7/10 [00:00<00:00, 471.01 it/sec, obj=-.266]
INFO - 08:23:52:
INFO - 08:23:52: ... 80%|████████ | 8/10 [00:00<00:00, 457.00 it/sec, obj=0.135]
INFO - 08:23:52:
INFO - 08:23:52: ... 90%|█████████ | 9/10 [00:00<00:00, 446.81 it/sec, obj=0.577]
INFO - 08:23:52:
INFO - 08:23:52: ... 100%|██████████| 10/10 [00:00<00:00, 459.47 it/sec, obj=0.288]
INFO - 08:23:52:
INFO - 08:23:52:
INFO - 08:23:52: Optimization result:
INFO - 08:23:52: Optimizer info:
INFO - 08:23:52: Status: None
INFO - 08:23:52: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 08:23:52: Number of calls to the objective function by the optimizer: 12
INFO - 08:23:52: Solution:
INFO - 08:23:52: The solution is feasible.
INFO - 08:23:52: Objective: 0.7453703703703706
INFO - 08:23:52: Standardized constraints:
INFO - 08:23:52: cstr = -0.2499785665294918
INFO - 08:23:52: Design space:
INFO - 08:23:52: +------+-------------+--------------------+-------------+-------+
INFO - 08:23:52: | name | lower_bound | value | upper_bound | type |
INFO - 08:23:52: +------+-------------+--------------------+-------------+-------+
INFO - 08:23:52: | x | -1.5 | 0.8333333333333335 | 1.5 | float |
INFO - 08:23:52: +------+-------------+--------------------+-------------+-------+
INFO - 08:23:52: *** End MDOScenario execution (time: 0:00:00.033483) ***
INFO - 08:23:52: ... 80%|████████ | 8/10 [00:00<00:00, 27.29 it/sec, obj=0.745]
INFO - 08:23:52:
INFO - 08:23:52: *** Start MDOScenario execution ***
INFO - 08:23:52: MDOScenario
INFO - 08:23:52: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 08:23:52: MDO formulation: DisciplinaryOpt
INFO - 08:23:52: Optimization problem:
INFO - 08:23:52: minimize obj(x)
INFO - 08:23:52: with respect to x
INFO - 08:23:52: subject to constraints:
INFO - 08:23:52: cstr(x) <= 0.0
INFO - 08:23:52: over the design space:
INFO - 08:23:52: +------+-------------+-------------------+-------------+-------+
INFO - 08:23:52: | name | lower_bound | value | upper_bound | type |
INFO - 08:23:52: +------+-------------+-------------------+-------------+-------+
INFO - 08:23:52: | x | -1.5 | 1.166666666666667 | 1.5 | float |
INFO - 08:23:52: +------+-------------+-------------------+-------------+-------+
INFO - 08:23:52: Solving optimization problem with algorithm SLSQP:
INFO - 08:23:52: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 08:23:52:
INFO - 08:23:52: ... 10%|█ | 1/10 [00:00<00:00, 986.66 it/sec, obj=1.42]
INFO - 08:23:52:
INFO - 08:23:52: ... 20%|██ | 2/10 [00:00<00:00, 456.37 it/sec, obj=-.875]
INFO - 08:23:52:
INFO - 08:23:52: ... 30%|███ | 3/10 [00:00<00:00, 412.97 it/sec, obj=-.267]
INFO - 08:23:52:
INFO - 08:23:52: ... 40%|████ | 4/10 [00:00<00:00, 451.30 it/sec, obj=-.809]
INFO - 08:23:52:
INFO - 08:23:52: ... 50%|█████ | 5/10 [00:00<00:00, 457.35 it/sec, obj=-.868]
INFO - 08:23:52:
INFO - 08:23:52: ... 60%|██████ | 6/10 [00:00<00:00, 478.93 it/sec, obj=-.874]
INFO - 08:23:52:
INFO - 08:23:52: ... 70%|███████ | 7/10 [00:00<00:00, 459.49 it/sec, obj=-.266]
INFO - 08:23:52:
INFO - 08:23:52: ... 80%|████████ | 8/10 [00:00<00:00, 440.84 it/sec, obj=0.135]
INFO - 08:23:52:
INFO - 08:23:52: ... 90%|█████████ | 9/10 [00:00<00:00, 433.16 it/sec, obj=0.577]
INFO - 08:23:52:
INFO - 08:23:52: ... 100%|██████████| 10/10 [00:00<00:00, 441.17 it/sec, obj=0.288]
INFO - 08:23:52:
WARNING - 08:23:52: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 08:23:52:
INFO - 08:23:52: Optimization result:
INFO - 08:23:52: Optimizer info:
INFO - 08:23:52: Status: None
INFO - 08:23:52: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 08:23:52: Number of calls to the objective function by the optimizer: 12
INFO - 08:23:52: Solution:
WARNING - 08:23:52: The solution is not feasible.
INFO - 08:23:52: Objective: 0.28811314244698893
INFO - 08:23:52: Standardized constraints:
INFO - 08:23:52: cstr = 0.1514407501016959
INFO - 08:23:52: Design space:
INFO - 08:23:52: +------+-------------+--------------------+-------------+-------+
INFO - 08:23:52: | name | lower_bound | value | upper_bound | type |
INFO - 08:23:52: +------+-------------+--------------------+-------------+-------+
INFO - 08:23:52: | x | -1.5 | -1.252370379420967 | 1.5 | float |
INFO - 08:23:52: +------+-------------+--------------------+-------------+-------+
INFO - 08:23:52: *** End MDOScenario execution (time: 0:00:00.034153) ***
INFO - 08:23:52: ... 90%|█████████ | 9/10 [00:00<00:00, 27.40 it/sec, obj=0.288]
INFO - 08:23:52:
INFO - 08:23:52: *** Start MDOScenario execution ***
INFO - 08:23:52: MDOScenario
INFO - 08:23:52: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 08:23:52: MDO formulation: DisciplinaryOpt
INFO - 08:23:52: Optimization problem:
INFO - 08:23:52: minimize obj(x)
INFO - 08:23:52: with respect to x
INFO - 08:23:52: subject to constraints:
INFO - 08:23:52: cstr(x) <= 0.0
INFO - 08:23:52: over the design space:
INFO - 08:23:52: +------+-------------+-------+-------------+-------+
INFO - 08:23:52: | name | lower_bound | value | upper_bound | type |
INFO - 08:23:52: +------+-------------+-------+-------------+-------+
INFO - 08:23:52: | x | -1.5 | 1.5 | 1.5 | float |
INFO - 08:23:52: +------+-------------+-------+-------------+-------+
INFO - 08:23:52: Solving optimization problem with algorithm SLSQP:
INFO - 08:23:52: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 08:23:52:
INFO - 08:23:52: ... 10%|█ | 1/10 [00:00<00:00, 993.91 it/sec, obj=2.88]
INFO - 08:23:52:
INFO - 08:23:52: ... 20%|██ | 2/10 [00:00<00:00, 429.63 it/sec, obj=-.875]
INFO - 08:23:52:
INFO - 08:23:52: ... 30%|███ | 3/10 [00:00<00:00, 416.63 it/sec, obj=-.267]
INFO - 08:23:52:
INFO - 08:23:52: ... 40%|████ | 4/10 [00:00<00:00, 454.17 it/sec, obj=-.809]
INFO - 08:23:52:
INFO - 08:23:52: ... 50%|█████ | 5/10 [00:00<00:00, 471.37 it/sec, obj=-.868]
INFO - 08:23:52:
INFO - 08:23:52: ... 60%|██████ | 6/10 [00:00<00:00, 489.52 it/sec, obj=-.874]
INFO - 08:23:52:
INFO - 08:23:52: ... 70%|███████ | 7/10 [00:00<00:00, 469.02 it/sec, obj=-.266]
INFO - 08:23:52:
INFO - 08:23:52: ... 80%|████████ | 8/10 [00:00<00:00, 455.75 it/sec, obj=0.135]
INFO - 08:23:52:
INFO - 08:23:52: ... 90%|█████████ | 9/10 [00:00<00:00, 439.53 it/sec, obj=0.577]
INFO - 08:23:52:
INFO - 08:23:52: ... 100%|██████████| 10/10 [00:00<00:00, 453.13 it/sec, obj=0.288]
INFO - 08:23:52:
WARNING - 08:23:52: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 08:23:52:
INFO - 08:23:52: Optimization result:
INFO - 08:23:52: Optimizer info:
INFO - 08:23:52: Status: None
INFO - 08:23:52: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 08:23:52: Number of calls to the objective function by the optimizer: 12
INFO - 08:23:52: Solution:
WARNING - 08:23:52: The solution is not feasible.
INFO - 08:23:52: Objective: 0.28811314244587316
INFO - 08:23:52: Standardized constraints:
INFO - 08:23:52: cstr = 0.15144075010180735
INFO - 08:23:52: Design space:
INFO - 08:23:52: +------+-------------+--------------------+-------------+-------+
INFO - 08:23:52: | name | lower_bound | value | upper_bound | type |
INFO - 08:23:52: +------+-------------+--------------------+-------------+-------+
INFO - 08:23:52: | x | -1.5 | -1.252370379421268 | 1.5 | float |
INFO - 08:23:52: +------+-------------+--------------------+-------------+-------+
INFO - 08:23:52: *** End MDOScenario execution (time: 0:00:00.033577) ***
INFO - 08:23:52: ... 100%|██████████| 10/10 [00:00<00:00, 27.53 it/sec, obj=0.288]
INFO - 08:23:52: Optimization result:
INFO - 08:23:52: Optimizer info:
INFO - 08:23:52: Status: None
INFO - 08:23:52: Message: None
INFO - 08:23:52: Number of calls to the objective function by the optimizer: 10
INFO - 08:23:52: Solution:
INFO - 08:23:52: The solution is feasible.
INFO - 08:23:52: Objective: 0.6150998205402495
INFO - 08:23:52: Standardized constraints:
INFO - 08:23:52: cstr = -0.7883188793606977
INFO - 08:23:52: Design space:
INFO - 08:23:52: +------+-------------+---------------------+-------------+-------+
INFO - 08:23:52: | name | lower_bound | value | upper_bound | type |
INFO - 08:23:52: +------+-------------+---------------------+-------------+-------+
INFO - 08:23:52: | x | -1.5 | -0.1666666666666667 | 1.5 | float |
INFO - 08:23:52: +------+-------------+---------------------+-------------+-------+
INFO - 08:23:52: *** End DOEScenario execution (time: 0:00:00.374236) ***
{'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 0x7f0cbf126160>
Total running time of the script: (0 minutes 0.568 seconds)