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 - 17:24:29:
INFO - 17:24:29: *** Start DOEScenario execution ***
INFO - 17:24:29: DOEScenario
INFO - 17:24:29: Disciplines: MDOScenario_adapter
INFO - 17:24:29: MDO formulation: DisciplinaryOpt
INFO - 17:24:29: Optimization problem:
INFO - 17:24:29: minimize obj(x)
INFO - 17:24:29: with respect to x
INFO - 17:24:29: subject to constraints:
INFO - 17:24:29: cstr(x) <= 0.0
INFO - 17:24:29: over the design space:
INFO - 17:24:29: +------+-------------+-------+-------------+-------+
INFO - 17:24:29: | name | lower_bound | value | upper_bound | type |
INFO - 17:24:29: +------+-------------+-------+-------------+-------+
INFO - 17:24:29: | x | -1.5 | 1.5 | 1.5 | float |
INFO - 17:24:29: +------+-------------+-------+-------------+-------+
INFO - 17:24:29: Solving optimization problem with algorithm fullfact:
INFO - 17:24:29: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 17:24:29:
INFO - 17:24:29: *** Start MDOScenario execution ***
INFO - 17:24:29: MDOScenario
INFO - 17:24:29: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 17:24:29: MDO formulation: DisciplinaryOpt
INFO - 17:24:29: Optimization problem:
INFO - 17:24:29: minimize obj(x)
INFO - 17:24:29: with respect to x
INFO - 17:24:29: subject to constraints:
INFO - 17:24:29: cstr(x) <= 0.0
INFO - 17:24:29: over the design space:
INFO - 17:24:29: +------+-------------+-------+-------------+-------+
INFO - 17:24:29: | name | lower_bound | value | upper_bound | type |
INFO - 17:24:29: +------+-------------+-------+-------------+-------+
INFO - 17:24:29: | x | -1.5 | -1.5 | 1.5 | float |
INFO - 17:24:29: +------+-------------+-------+-------------+-------+
INFO - 17:24:29: Solving optimization problem with algorithm SLSQP:
INFO - 17:24:29: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 17:24:29:
INFO - 17:24:29: ... 10%|█ | 1/10 [00:00<00:00, 85.16 it/sec, obj=-.875]
INFO - 17:24:29:
INFO - 17:24:29: ... 20%|██ | 2/10 [00:00<00:00, 106.05 it/sec, obj=-.267]
INFO - 17:24:29:
INFO - 17:24:29: ... 30%|███ | 3/10 [00:00<00:00, 139.15 it/sec, obj=-.809]
INFO - 17:24:29:
INFO - 17:24:29: ... 40%|████ | 4/10 [00:00<00:00, 163.95 it/sec, obj=-.868]
INFO - 17:24:29:
INFO - 17:24:29: ... 50%|█████ | 5/10 [00:00<00:00, 183.19 it/sec, obj=-.872]
INFO - 17:24:29:
INFO - 17:24:29: ... 60%|██████ | 6/10 [00:00<00:00, 187.60 it/sec, obj=-.265]
INFO - 17:24:29:
INFO - 17:24:29: ... 70%|███████ | 7/10 [00:00<00:00, 190.85 it/sec, obj=0.136]
INFO - 17:24:29:
INFO - 17:24:29: ... 80%|████████ | 8/10 [00:00<00:00, 193.19 it/sec, obj=0.579]
INFO - 17:24:29:
INFO - 17:24:29: ... 90%|█████████ | 9/10 [00:00<00:00, 203.49 it/sec, obj=0.289]
INFO - 17:24:29:
INFO - 17:24:29: ... 100%|██████████| 10/10 [00:00<00:00, 204.70 it/sec, obj=1.25]
INFO - 17:24:29:
WARNING - 17:24:29: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 17:24:29:
INFO - 17:24:29: Optimization result:
INFO - 17:24:29: Optimizer info:
INFO - 17:24:29: Status: None
INFO - 17:24:29: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 17:24:29: Number of calls to the objective function by the optimizer: 12
INFO - 17:24:29: Solution:
WARNING - 17:24:29: The solution is not feasible.
INFO - 17:24:29: Objective: 0.2888129873625884
INFO - 17:24:29: Standardized constraints:
INFO - 17:24:29: cstr = 0.1513713660745195
INFO - 17:24:29: Design space:
INFO - 17:24:29: +------+-------------+--------------------+-------------+-------+
INFO - 17:24:29: | name | lower_bound | value | upper_bound | type |
INFO - 17:24:29: +------+-------------+--------------------+-------------+-------+
INFO - 17:24:29: | x | -1.5 | -1.252181466244097 | 1.5 | float |
INFO - 17:24:29: +------+-------------+--------------------+-------------+-------+
INFO - 17:24:29: *** End MDOScenario execution (time: 0:00:00.068158) ***
INFO - 17:24:29: ... 10%|█ | 1/10 [00:00<00:00, 12.83 it/sec, obj=0.289]
INFO - 17:24:29:
INFO - 17:24:29: *** Start MDOScenario execution ***
INFO - 17:24:29: MDOScenario
INFO - 17:24:29: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 17:24:29: MDO formulation: DisciplinaryOpt
INFO - 17:24:29: Optimization problem:
INFO - 17:24:29: minimize obj(x)
INFO - 17:24:29: with respect to x
INFO - 17:24:29: subject to constraints:
INFO - 17:24:29: cstr(x) <= 0.0
INFO - 17:24:29: over the design space:
INFO - 17:24:29: +------+-------------+--------------------+-------------+-------+
INFO - 17:24:29: | name | lower_bound | value | upper_bound | type |
INFO - 17:24:29: +------+-------------+--------------------+-------------+-------+
INFO - 17:24:29: | x | -1.5 | -1.166666666666667 | 1.5 | float |
INFO - 17:24:29: +------+-------------+--------------------+-------------+-------+
INFO - 17:24:29: Solving optimization problem with algorithm SLSQP:
INFO - 17:24:29: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 17:24:29:
INFO - 17:24:29: ... 10%|█ | 1/10 [00:00<00:00, 594.52 it/sec, obj=0.579]
INFO - 17:24:29:
INFO - 17:24:29: ... 20%|██ | 2/10 [00:00<00:00, 250.72 it/sec, obj=-.875]
INFO - 17:24:29:
INFO - 17:24:29: ... 30%|███ | 3/10 [00:00<00:00, 242.27 it/sec, obj=-.267]
INFO - 17:24:29:
INFO - 17:24:29: ... 40%|████ | 4/10 [00:00<00:00, 261.60 it/sec, obj=-.809]
INFO - 17:24:29:
INFO - 17:24:29: ... 50%|█████ | 5/10 [00:00<00:00, 275.42 it/sec, obj=-.868]
INFO - 17:24:29:
INFO - 17:24:29: ... 60%|██████ | 6/10 [00:00<00:00, 286.18 it/sec, obj=-.874]
INFO - 17:24:29:
INFO - 17:24:29: ... 70%|███████ | 7/10 [00:00<00:00, 272.66 it/sec, obj=-.266]
INFO - 17:24:29:
INFO - 17:24:29: ... 80%|████████ | 8/10 [00:00<00:00, 263.76 it/sec, obj=0.135]
INFO - 17:24:29:
INFO - 17:24:29: ... 90%|█████████ | 9/10 [00:00<00:00, 257.02 it/sec, obj=0.577]
INFO - 17:24:29:
INFO - 17:24:29: ... 100%|██████████| 10/10 [00:00<00:00, 264.03 it/sec, obj=0.288]
INFO - 17:24:29:
WARNING - 17:24:29: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 17:24:29:
INFO - 17:24:29: Optimization result:
INFO - 17:24:29: Optimizer info:
INFO - 17:24:29: Status: None
INFO - 17:24:29: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 17:24:29: Number of calls to the objective function by the optimizer: 12
INFO - 17:24:29: Solution:
WARNING - 17:24:29: The solution is not feasible.
INFO - 17:24:29: Objective: 0.28811314244670916
INFO - 17:24:29: Standardized constraints:
INFO - 17:24:29: cstr = 0.15144075010172386
INFO - 17:24:29: Design space:
INFO - 17:24:29: +------+-------------+--------------------+-------------+-------+
INFO - 17:24:29: | name | lower_bound | value | upper_bound | type |
INFO - 17:24:29: +------+-------------+--------------------+-------------+-------+
INFO - 17:24:29: | x | -1.5 | -1.252370379421043 | 1.5 | float |
INFO - 17:24:29: +------+-------------+--------------------+-------------+-------+
INFO - 17:24:29: *** End MDOScenario execution (time: 0:00:00.047594) ***
INFO - 17:24:29: ... 20%|██ | 2/10 [00:00<00:00, 15.68 it/sec, obj=0.288]
INFO - 17:24:29:
INFO - 17:24:29: *** Start MDOScenario execution ***
INFO - 17:24:29: MDOScenario
INFO - 17:24:29: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 17:24:29: MDO formulation: DisciplinaryOpt
INFO - 17:24:29: Optimization problem:
INFO - 17:24:29: minimize obj(x)
INFO - 17:24:29: with respect to x
INFO - 17:24:29: subject to constraints:
INFO - 17:24:29: cstr(x) <= 0.0
INFO - 17:24:29: over the design space:
INFO - 17:24:29: +------+-------------+---------------------+-------------+-------+
INFO - 17:24:29: | name | lower_bound | value | upper_bound | type |
INFO - 17:24:29: +------+-------------+---------------------+-------------+-------+
INFO - 17:24:29: | x | -1.5 | -0.8333333333333334 | 1.5 | float |
INFO - 17:24:29: +------+-------------+---------------------+-------------+-------+
INFO - 17:24:29: Solving optimization problem with algorithm SLSQP:
INFO - 17:24:29: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 17:24:29:
INFO - 17:24:29: ... 10%|█ | 1/10 [00:00<00:00, 604.37 it/sec, obj=1.25]
INFO - 17:24:29:
INFO - 17:24:29: ... 20%|██ | 2/10 [00:00<00:00, 263.21 it/sec, obj=-.875]
INFO - 17:24:29:
INFO - 17:24:29: ... 30%|███ | 3/10 [00:00<00:00, 291.98 it/sec, obj=1.01]
INFO - 17:24:29:
INFO - 17:24:29: ... 40%|████ | 4/10 [00:00<00:00, 267.74 it/sec, obj=-.875]
INFO - 17:24:29:
INFO - 17:24:29: ... 50%|█████ | 5/10 [00:00<00:00, 279.92 it/sec, obj=0.819]
INFO - 17:24:29:
INFO - 17:24:29: ... 60%|██████ | 6/10 [00:00<00:00, 266.51 it/sec, obj=-.875]
INFO - 17:24:29:
INFO - 17:24:29: ... 70%|███████ | 7/10 [00:00<00:00, 275.58 it/sec, obj=0.693]
INFO - 17:24:29:
INFO - 17:24:29: ... 80%|████████ | 8/10 [00:00<00:00, 266.03 it/sec, obj=-.875]
INFO - 17:24:29:
INFO - 17:24:29: ... 90%|█████████ | 9/10 [00:00<00:00, 273.19 it/sec, obj=0.584]
INFO - 17:24:29:
INFO - 17:24:29: ... 100%|██████████| 10/10 [00:00<00:00, 265.93 it/sec, obj=-.875]
INFO - 17:24:29:
WARNING - 17:24:29: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 17:24:29:
INFO - 17:24:29: Optimization result:
INFO - 17:24:29: Optimizer info:
INFO - 17:24:29: Status: None
INFO - 17:24:29: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 17:24:29: Number of calls to the objective function by the optimizer: 12
INFO - 17:24:29: Solution:
WARNING - 17:24:29: The solution is not feasible.
INFO - 17:24:29: Objective: 0.5837798748832244
INFO - 17:24:29: Standardized constraints:
INFO - 17:24:29: cstr = 0.19806414473664136
INFO - 17:24:29: Design space:
INFO - 17:24:29: +------+-------------+--------------------+-------------+-------+
INFO - 17:24:29: | name | lower_bound | value | upper_bound | type |
INFO - 17:24:29: +------+-------------+--------------------+-------------+-------+
INFO - 17:24:29: | x | -1.5 | -1.165017254128868 | 1.5 | float |
INFO - 17:24:29: +------+-------------+--------------------+-------------+-------+
INFO - 17:24:29: *** End MDOScenario execution (time: 0:00:00.045449) ***
INFO - 17:24:29: ... 30%|███ | 3/10 [00:00<00:00, 16.99 it/sec, obj=0.584]
INFO - 17:24:29:
INFO - 17:24:29: *** Start MDOScenario execution ***
INFO - 17:24:29: MDOScenario
INFO - 17:24:29: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 17:24:29: MDO formulation: DisciplinaryOpt
INFO - 17:24:29: Optimization problem:
INFO - 17:24:29: minimize obj(x)
INFO - 17:24:29: with respect to x
INFO - 17:24:29: subject to constraints:
INFO - 17:24:29: cstr(x) <= 0.0
INFO - 17:24:29: over the design space:
INFO - 17:24:29: +------+-------------+-------+-------------+-------+
INFO - 17:24:29: | name | lower_bound | value | upper_bound | type |
INFO - 17:24:29: +------+-------------+-------+-------------+-------+
INFO - 17:24:29: | x | -1.5 | -0.5 | 1.5 | float |
INFO - 17:24:29: +------+-------------+-------+-------------+-------+
INFO - 17:24:29: Solving optimization problem with algorithm SLSQP:
INFO - 17:24:29: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 17:24:29:
INFO - 17:24:29: ... 10%|█ | 1/10 [00:00<00:00, 622.76 it/sec, obj=1.38]
INFO - 17:24:29:
INFO - 17:24:29: ... 20%|██ | 2/10 [00:00<00:00, 260.41 it/sec, obj=2.88]
INFO - 17:24:29:
INFO - 17:24:29: ... 30%|███ | 3/10 [00:00<00:00, 293.48 it/sec, obj=1.23]
INFO - 17:24:29:
INFO - 17:24:29: ... 40%|████ | 4/10 [00:00<00:00, 268.09 it/sec, obj=2.87]
INFO - 17:24:29:
INFO - 17:24:29: ... 50%|█████ | 5/10 [00:00<00:00, 282.06 it/sec, obj=0.848]
INFO - 17:24:29:
INFO - 17:24:29: ... 60%|██████ | 6/10 [00:00<00:00, 261.15 it/sec, obj=0.658]
INFO - 17:24:29:
INFO - 17:24:29: ... 70%|███████ | 7/10 [00:00<00:00, 246.86 it/sec, obj=0.643]
INFO - 17:24:29:
INFO - 17:24:29: ... 80%|████████ | 8/10 [00:00<00:00, 238.31 it/sec, obj=0.616]
INFO - 17:24:29:
INFO - 17:24:29: ... 90%|█████████ | 9/10 [00:00<00:00, 231.75 it/sec, obj=0.615]
INFO - 17:24:29:
INFO - 17:24:29: ... 100%|██████████| 10/10 [00:00<00:00, 226.85 it/sec, obj=0.615]
INFO - 17:24:29:
INFO - 17:24:29:
INFO - 17:24:29: Optimization result:
INFO - 17:24:29: Optimizer info:
INFO - 17:24:29: Status: None
INFO - 17:24:29: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 17:24:29: Number of calls to the objective function by the optimizer: 13
INFO - 17:24:29: Solution:
INFO - 17:24:29: The solution is feasible.
INFO - 17:24:29: Objective: 0.6150998219543254
INFO - 17:24:29: Standardized constraints:
INFO - 17:24:29: cstr = -0.788285881879476
INFO - 17:24:29: Design space:
INFO - 17:24:29: +------+-------------+--------------------+-------------+-------+
INFO - 17:24:29: | name | lower_bound | value | upper_bound | type |
INFO - 17:24:29: +------+-------------+--------------------+-------------+-------+
INFO - 17:24:29: | x | -1.5 | 0.5773788419679762 | 1.5 | float |
INFO - 17:24:29: +------+-------------+--------------------+-------------+-------+
INFO - 17:24:29: *** End MDOScenario execution (time: 0:00:00.053776) ***
INFO - 17:24:29: ... 40%|████ | 4/10 [00:00<00:00, 17.21 it/sec, obj=0.615]
INFO - 17:24:29:
INFO - 17:24:29: *** Start MDOScenario execution ***
INFO - 17:24:29: MDOScenario
INFO - 17:24:29: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 17:24:29: MDO formulation: DisciplinaryOpt
INFO - 17:24:29: Optimization problem:
INFO - 17:24:29: minimize obj(x)
INFO - 17:24:29: with respect to x
INFO - 17:24:29: subject to constraints:
INFO - 17:24:29: cstr(x) <= 0.0
INFO - 17:24:29: over the design space:
INFO - 17:24:29: +------+-------------+---------------------+-------------+-------+
INFO - 17:24:29: | name | lower_bound | value | upper_bound | type |
INFO - 17:24:29: +------+-------------+---------------------+-------------+-------+
INFO - 17:24:29: | x | -1.5 | -0.1666666666666667 | 1.5 | float |
INFO - 17:24:29: +------+-------------+---------------------+-------------+-------+
INFO - 17:24:29: Solving optimization problem with algorithm SLSQP:
INFO - 17:24:29: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 17:24:29:
INFO - 17:24:29: ... 10%|█ | 1/10 [00:00<00:00, 610.88 it/sec, obj=1.16]
INFO - 17:24:29:
INFO - 17:24:29: ... 20%|██ | 2/10 [00:00<00:00, 260.83 it/sec, obj=2.87]
INFO - 17:24:29:
INFO - 17:24:29: ... 30%|███ | 3/10 [00:00<00:00, 292.27 it/sec, obj=0.785]
INFO - 17:24:29:
INFO - 17:24:29: ... 40%|████ | 4/10 [00:00<00:00, 256.17 it/sec, obj=2.88]
INFO - 17:24:29:
INFO - 17:24:29: ... 50%|█████ | 5/10 [00:00<00:00, 261.17 it/sec, obj=0.644]
INFO - 17:24:29:
INFO - 17:24:29: ... 60%|██████ | 6/10 [00:00<00:00, 246.27 it/sec, obj=0.624]
INFO - 17:24:29:
INFO - 17:24:29: ... 70%|███████ | 7/10 [00:00<00:00, 235.96 it/sec, obj=0.615]
INFO - 17:24:29:
INFO - 17:24:29: ... 80%|████████ | 8/10 [00:00<00:00, 229.31 it/sec, obj=0.615]
INFO - 17:24:29:
INFO - 17:24:29: ... 90%|█████████ | 9/10 [00:00<00:00, 224.00 it/sec, obj=0.615]
INFO - 17:24:29:
INFO - 17:24:29: ... 100%|██████████| 10/10 [00:00<00:00, 220.36 it/sec, obj=0.615]
INFO - 17:24:29:
INFO - 17:24:29:
INFO - 17:24:29: Optimization result:
INFO - 17:24:29: Optimizer info:
INFO - 17:24:29: Status: None
INFO - 17:24:29: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 17:24:29: Number of calls to the objective function by the optimizer: 12
INFO - 17:24:29: Solution:
INFO - 17:24:29: The solution is feasible.
INFO - 17:24:29: Objective: 0.6150998205402495
INFO - 17:24:29: Standardized constraints:
INFO - 17:24:29: cstr = -0.7883188793606977
INFO - 17:24:29: Design space:
INFO - 17:24:29: +------+-------------+--------------------+-------------+-------+
INFO - 17:24:29: | name | lower_bound | value | upper_bound | type |
INFO - 17:24:29: +------+-------------+--------------------+-------------+-------+
INFO - 17:24:29: | x | -1.5 | 0.5773502675245377 | 1.5 | float |
INFO - 17:24:29: +------+-------------+--------------------+-------------+-------+
INFO - 17:24:29: *** End MDOScenario execution (time: 0:00:00.055246) ***
INFO - 17:24:29: ... 50%|█████ | 5/10 [00:00<00:00, 17.26 it/sec, obj=0.615]
INFO - 17:24:29:
INFO - 17:24:29: *** Start MDOScenario execution ***
INFO - 17:24:29: MDOScenario
INFO - 17:24:29: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 17:24:29: MDO formulation: DisciplinaryOpt
INFO - 17:24:29: Optimization problem:
INFO - 17:24:29: minimize obj(x)
INFO - 17:24:29: with respect to x
INFO - 17:24:29: subject to constraints:
INFO - 17:24:29: cstr(x) <= 0.0
INFO - 17:24:29: over the design space:
INFO - 17:24:29: +------+-------------+--------------------+-------------+-------+
INFO - 17:24:29: | name | lower_bound | value | upper_bound | type |
INFO - 17:24:29: +------+-------------+--------------------+-------------+-------+
INFO - 17:24:29: | x | -1.5 | 0.1666666666666667 | 1.5 | float |
INFO - 17:24:29: +------+-------------+--------------------+-------------+-------+
INFO - 17:24:29: Solving optimization problem with algorithm SLSQP:
INFO - 17:24:29: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 17:24:29:
INFO - 17:24:29: ... 10%|█ | 1/10 [00:00<00:00, 614.91 it/sec, obj=0.838]
INFO - 17:24:29:
INFO - 17:24:29: ... 20%|██ | 2/10 [00:00<00:00, 261.51 it/sec, obj=2.88]
INFO - 17:24:29:
INFO - 17:24:29: ... 30%|███ | 3/10 [00:00<00:00, 291.87 it/sec, obj=0.656]
INFO - 17:24:29:
INFO - 17:24:30: ... 40%|████ | 4/10 [00:00<00:00, 257.33 it/sec, obj=0.639]
INFO - 17:24:30:
INFO - 17:24:30: ... 50%|█████ | 5/10 [00:00<00:00, 239.79 it/sec, obj=0.616]
INFO - 17:24:30:
INFO - 17:24:30: ... 60%|██████ | 6/10 [00:00<00:00, 229.42 it/sec, obj=0.615]
INFO - 17:24:30:
INFO - 17:24:30: ... 70%|███████ | 7/10 [00:00<00:00, 223.07 it/sec, obj=0.615]
INFO - 17:24:30:
INFO - 17:24:30: ... 80%|████████ | 8/10 [00:00<00:00, 217.18 it/sec, obj=0.615]
INFO - 17:24:30:
INFO - 17:24:30: ... 90%|█████████ | 9/10 [00:00<00:00, 213.62 it/sec, obj=0.615]
INFO - 17:24:30:
INFO - 17:24:30:
INFO - 17:24:30: Optimization result:
INFO - 17:24:30: Optimizer info:
INFO - 17:24:30: Status: None
INFO - 17:24:30: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 17:24:30: Number of calls to the objective function by the optimizer: 10
INFO - 17:24:30: Solution:
INFO - 17:24:30: The solution is feasible.
INFO - 17:24:30: Objective: 0.6150998205402508
INFO - 17:24:30: Standardized constraints:
INFO - 17:24:30: cstr = -0.7883189092934597
INFO - 17:24:30: Design space:
INFO - 17:24:30: +------+-------------+--------------------+-------------+-------+
INFO - 17:24:30: | name | lower_bound | value | upper_bound | type |
INFO - 17:24:30: +------+-------------+--------------------+-------------+-------+
INFO - 17:24:30: | x | -1.5 | 0.5773502416020033 | 1.5 | float |
INFO - 17:24:30: +------+-------------+--------------------+-------------+-------+
INFO - 17:24:30: *** End MDOScenario execution (time: 0:00:00.048987) ***
INFO - 17:24:30: ... 60%|██████ | 6/10 [00:00<00:00, 17.54 it/sec, obj=0.615]
INFO - 17:24:30:
INFO - 17:24:30: *** Start MDOScenario execution ***
INFO - 17:24:30: MDOScenario
INFO - 17:24:30: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 17:24:30: MDO formulation: DisciplinaryOpt
INFO - 17:24:30: Optimization problem:
INFO - 17:24:30: minimize obj(x)
INFO - 17:24:30: with respect to x
INFO - 17:24:30: subject to constraints:
INFO - 17:24:30: cstr(x) <= 0.0
INFO - 17:24:30: over the design space:
INFO - 17:24:30: +------+-------------+-------+-------------+-------+
INFO - 17:24:30: | name | lower_bound | value | upper_bound | type |
INFO - 17:24:30: +------+-------------+-------+-------------+-------+
INFO - 17:24:30: | x | -1.5 | 0.5 | 1.5 | float |
INFO - 17:24:30: +------+-------------+-------+-------------+-------+
INFO - 17:24:30: Solving optimization problem with algorithm SLSQP:
INFO - 17:24:30: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 17:24:30:
INFO - 17:24:30: ... 10%|█ | 1/10 [00:00<00:00, 583.27 it/sec, obj=0.625]
INFO - 17:24:30:
INFO - 17:24:30: ... 20%|██ | 2/10 [00:00<00:00, 259.81 it/sec, obj=2.87]
INFO - 17:24:30:
INFO - 17:24:30: ... 30%|███ | 3/10 [00:00<00:00, 289.96 it/sec, obj=0.616]
INFO - 17:24:30:
INFO - 17:24:30: ... 40%|████ | 4/10 [00:00<00:00, 256.37 it/sec, obj=0.615]
INFO - 17:24:30:
INFO - 17:24:30: ... 50%|█████ | 5/10 [00:00<00:00, 239.12 it/sec, obj=0.615]
INFO - 17:24:30:
INFO - 17:24:30: ... 60%|██████ | 6/10 [00:00<00:00, 228.78 it/sec, obj=0.615]
INFO - 17:24:30:
INFO - 17:24:30: ... 70%|███████ | 7/10 [00:00<00:00, 222.60 it/sec, obj=0.615]
INFO - 17:24:30:
INFO - 17:24:30:
INFO - 17:24:30: Optimization result:
INFO - 17:24:30: Optimizer info:
INFO - 17:24:30: Status: None
INFO - 17:24:30: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 17:24:30: Number of calls to the objective function by the optimizer: 8
INFO - 17:24:30: Solution:
INFO - 17:24:30: The solution is feasible.
INFO - 17:24:30: Objective: 0.6150998205402526
INFO - 17:24:30: Standardized constraints:
INFO - 17:24:30: cstr = -0.7883188285028959
INFO - 17:24:30: Design space:
INFO - 17:24:30: +------+-------------+--------------------+-------------+-------+
INFO - 17:24:30: | name | lower_bound | value | upper_bound | type |
INFO - 17:24:30: +------+-------------+--------------------+-------------+-------+
INFO - 17:24:30: | x | -1.5 | 0.5773503115686811 | 1.5 | float |
INFO - 17:24:30: +------+-------------+--------------------+-------------+-------+
INFO - 17:24:30: *** End MDOScenario execution (time: 0:00:00.038170) ***
INFO - 17:24:30: ... 70%|███████ | 7/10 [00:00<00:00, 18.25 it/sec, obj=0.615]
INFO - 17:24:30:
INFO - 17:24:30: *** Start MDOScenario execution ***
INFO - 17:24:30: MDOScenario
INFO - 17:24:30: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 17:24:30: MDO formulation: DisciplinaryOpt
INFO - 17:24:30: Optimization problem:
INFO - 17:24:30: minimize obj(x)
INFO - 17:24:30: with respect to x
INFO - 17:24:30: subject to constraints:
INFO - 17:24:30: cstr(x) <= 0.0
INFO - 17:24:30: over the design space:
INFO - 17:24:30: +------+-------------+--------------------+-------------+-------+
INFO - 17:24:30: | name | lower_bound | value | upper_bound | type |
INFO - 17:24:30: +------+-------------+--------------------+-------------+-------+
INFO - 17:24:30: | x | -1.5 | 0.8333333333333335 | 1.5 | float |
INFO - 17:24:30: +------+-------------+--------------------+-------------+-------+
INFO - 17:24:30: Solving optimization problem with algorithm SLSQP:
INFO - 17:24:30: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 17:24:30:
INFO - 17:24:30: ... 10%|█ | 1/10 [00:00<00:00, 604.45 it/sec, obj=0.745]
INFO - 17:24:30:
INFO - 17:24:30: ... 20%|██ | 2/10 [00:00<00:00, 261.60 it/sec, obj=-.875]
INFO - 17:24:30:
INFO - 17:24:30: ... 30%|███ | 3/10 [00:00<00:00, 245.89 it/sec, obj=-.267]
INFO - 17:24:30:
INFO - 17:24:30: ... 40%|████ | 4/10 [00:00<00:00, 256.56 it/sec, obj=-.809]
INFO - 17:24:30:
INFO - 17:24:30: ... 50%|█████ | 5/10 [00:00<00:00, 270.55 it/sec, obj=-.868]
INFO - 17:24:30:
INFO - 17:24:30: ... 60%|██████ | 6/10 [00:00<00:00, 280.67 it/sec, obj=-.874]
INFO - 17:24:30:
INFO - 17:24:30: ... 70%|███████ | 7/10 [00:00<00:00, 268.98 it/sec, obj=-.266]
INFO - 17:24:30:
INFO - 17:24:30: ... 80%|████████ | 8/10 [00:00<00:00, 261.00 it/sec, obj=0.135]
INFO - 17:24:30:
INFO - 17:24:30: ... 90%|█████████ | 9/10 [00:00<00:00, 254.88 it/sec, obj=0.577]
INFO - 17:24:30:
INFO - 17:24:30: ... 100%|██████████| 10/10 [00:00<00:00, 261.86 it/sec, obj=0.288]
INFO - 17:24:30:
INFO - 17:24:30:
INFO - 17:24:30: Optimization result:
INFO - 17:24:30: Optimizer info:
INFO - 17:24:30: Status: None
INFO - 17:24:30: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 17:24:30: Number of calls to the objective function by the optimizer: 12
INFO - 17:24:30: Solution:
INFO - 17:24:30: The solution is feasible.
INFO - 17:24:30: Objective: 0.7453703703703706
INFO - 17:24:30: Standardized constraints:
INFO - 17:24:30: cstr = -0.2499785665294918
INFO - 17:24:30: Design space:
INFO - 17:24:30: +------+-------------+--------------------+-------------+-------+
INFO - 17:24:30: | name | lower_bound | value | upper_bound | type |
INFO - 17:24:30: +------+-------------+--------------------+-------------+-------+
INFO - 17:24:30: | x | -1.5 | 0.8333333333333335 | 1.5 | float |
INFO - 17:24:30: +------+-------------+--------------------+-------------+-------+
INFO - 17:24:30: *** End MDOScenario execution (time: 0:00:00.047266) ***
INFO - 17:24:30: ... 80%|████████ | 8/10 [00:00<00:00, 18.42 it/sec, obj=0.745]
INFO - 17:24:30:
INFO - 17:24:30: *** Start MDOScenario execution ***
INFO - 17:24:30: MDOScenario
INFO - 17:24:30: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 17:24:30: MDO formulation: DisciplinaryOpt
INFO - 17:24:30: Optimization problem:
INFO - 17:24:30: minimize obj(x)
INFO - 17:24:30: with respect to x
INFO - 17:24:30: subject to constraints:
INFO - 17:24:30: cstr(x) <= 0.0
INFO - 17:24:30: over the design space:
INFO - 17:24:30: +------+-------------+-------------------+-------------+-------+
INFO - 17:24:30: | name | lower_bound | value | upper_bound | type |
INFO - 17:24:30: +------+-------------+-------------------+-------------+-------+
INFO - 17:24:30: | x | -1.5 | 1.166666666666667 | 1.5 | float |
INFO - 17:24:30: +------+-------------+-------------------+-------------+-------+
INFO - 17:24:30: Solving optimization problem with algorithm SLSQP:
INFO - 17:24:30: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 17:24:30:
INFO - 17:24:30: ... 10%|█ | 1/10 [00:00<00:00, 506.50 it/sec, obj=1.42]
INFO - 17:24:30:
INFO - 17:24:30: ... 20%|██ | 2/10 [00:00<00:00, 251.10 it/sec, obj=-.875]
INFO - 17:24:30:
INFO - 17:24:30: ... 30%|███ | 3/10 [00:00<00:00, 242.47 it/sec, obj=-.267]
INFO - 17:24:30:
INFO - 17:24:30: ... 40%|████ | 4/10 [00:00<00:00, 261.11 it/sec, obj=-.809]
INFO - 17:24:30:
INFO - 17:24:30: ... 50%|█████ | 5/10 [00:00<00:00, 275.02 it/sec, obj=-.868]
INFO - 17:24:30:
INFO - 17:24:30: ... 60%|██████ | 6/10 [00:00<00:00, 286.04 it/sec, obj=-.874]
INFO - 17:24:30:
INFO - 17:24:30: ... 70%|███████ | 7/10 [00:00<00:00, 272.21 it/sec, obj=-.266]
INFO - 17:24:30:
INFO - 17:24:30: ... 80%|████████ | 8/10 [00:00<00:00, 263.23 it/sec, obj=0.135]
INFO - 17:24:30:
INFO - 17:24:30: ... 90%|█████████ | 9/10 [00:00<00:00, 256.75 it/sec, obj=0.577]
INFO - 17:24:30:
INFO - 17:24:30: ... 100%|██████████| 10/10 [00:00<00:00, 263.72 it/sec, obj=0.288]
INFO - 17:24:30:
WARNING - 17:24:30: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 17:24:30:
INFO - 17:24:30: Optimization result:
INFO - 17:24:30: Optimizer info:
INFO - 17:24:30: Status: None
INFO - 17:24:30: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 17:24:30: Number of calls to the objective function by the optimizer: 12
INFO - 17:24:30: Solution:
WARNING - 17:24:30: The solution is not feasible.
INFO - 17:24:30: Objective: 0.28811314244698893
INFO - 17:24:30: Standardized constraints:
INFO - 17:24:30: cstr = 0.1514407501016959
INFO - 17:24:30: Design space:
INFO - 17:24:30: +------+-------------+--------------------+-------------+-------+
INFO - 17:24:30: | name | lower_bound | value | upper_bound | type |
INFO - 17:24:30: +------+-------------+--------------------+-------------+-------+
INFO - 17:24:30: | x | -1.5 | -1.252370379420967 | 1.5 | float |
INFO - 17:24:30: +------+-------------+--------------------+-------------+-------+
INFO - 17:24:30: *** End MDOScenario execution (time: 0:00:00.047574) ***
INFO - 17:24:30: ... 90%|█████████ | 9/10 [00:00<00:00, 18.60 it/sec, obj=0.288]
INFO - 17:24:30:
INFO - 17:24:30: *** Start MDOScenario execution ***
INFO - 17:24:30: MDOScenario
INFO - 17:24:30: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 17:24:30: MDO formulation: DisciplinaryOpt
INFO - 17:24:30: Optimization problem:
INFO - 17:24:30: minimize obj(x)
INFO - 17:24:30: with respect to x
INFO - 17:24:30: subject to constraints:
INFO - 17:24:30: cstr(x) <= 0.0
INFO - 17:24:30: over the design space:
INFO - 17:24:30: +------+-------------+-------+-------------+-------+
INFO - 17:24:30: | name | lower_bound | value | upper_bound | type |
INFO - 17:24:30: +------+-------------+-------+-------------+-------+
INFO - 17:24:30: | x | -1.5 | 1.5 | 1.5 | float |
INFO - 17:24:30: +------+-------------+-------+-------------+-------+
INFO - 17:24:30: Solving optimization problem with algorithm SLSQP:
INFO - 17:24:30: ... 0%| | 0/10 [00:00<?, ?it]
INFO - 17:24:30:
INFO - 17:24:30: ... 10%|█ | 1/10 [00:00<00:00, 606.81 it/sec, obj=2.88]
INFO - 17:24:30:
INFO - 17:24:30: ... 20%|██ | 2/10 [00:00<00:00, 262.44 it/sec, obj=-.875]
INFO - 17:24:30:
INFO - 17:24:30: ... 30%|███ | 3/10 [00:00<00:00, 248.75 it/sec, obj=-.267]
INFO - 17:24:30:
INFO - 17:24:30: ... 40%|████ | 4/10 [00:00<00:00, 268.75 it/sec, obj=-.809]
INFO - 17:24:30:
INFO - 17:24:30: ... 50%|█████ | 5/10 [00:00<00:00, 281.25 it/sec, obj=-.868]
INFO - 17:24:30:
INFO - 17:24:30: ... 60%|██████ | 6/10 [00:00<00:00, 288.57 it/sec, obj=-.874]
INFO - 17:24:30:
INFO - 17:24:30: ... 70%|███████ | 7/10 [00:00<00:00, 274.97 it/sec, obj=-.266]
INFO - 17:24:30:
INFO - 17:24:30: ... 80%|████████ | 8/10 [00:00<00:00, 265.98 it/sec, obj=0.135]
INFO - 17:24:30:
INFO - 17:24:30: ... 90%|█████████ | 9/10 [00:00<00:00, 259.14 it/sec, obj=0.577]
INFO - 17:24:30:
INFO - 17:24:30: ... 100%|██████████| 10/10 [00:00<00:00, 265.83 it/sec, obj=0.288]
INFO - 17:24:30:
WARNING - 17:24:30: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 17:24:30:
INFO - 17:24:30: Optimization result:
INFO - 17:24:30: Optimizer info:
INFO - 17:24:30: Status: None
INFO - 17:24:30: Message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 17:24:30: Number of calls to the objective function by the optimizer: 12
INFO - 17:24:30: Solution:
WARNING - 17:24:30: The solution is not feasible.
INFO - 17:24:30: Objective: 0.28811314244587316
INFO - 17:24:30: Standardized constraints:
INFO - 17:24:30: cstr = 0.15144075010180735
INFO - 17:24:30: Design space:
INFO - 17:24:30: +------+-------------+--------------------+-------------+-------+
INFO - 17:24:30: | name | lower_bound | value | upper_bound | type |
INFO - 17:24:30: +------+-------------+--------------------+-------------+-------+
INFO - 17:24:30: | x | -1.5 | -1.252370379421268 | 1.5 | float |
INFO - 17:24:30: +------+-------------+--------------------+-------------+-------+
INFO - 17:24:30: *** End MDOScenario execution (time: 0:00:00.047414) ***
INFO - 17:24:30: ... 100%|██████████| 10/10 [00:00<00:00, 18.75 it/sec, obj=0.288]
INFO - 17:24:30: Optimization result:
INFO - 17:24:30: Optimizer info:
INFO - 17:24:30: Status: None
INFO - 17:24:30: Message: None
INFO - 17:24:30: Number of calls to the objective function by the optimizer: 10
INFO - 17:24:30: Solution:
INFO - 17:24:30: The solution is feasible.
INFO - 17:24:30: Objective: 0.6150998205402495
INFO - 17:24:30: Standardized constraints:
INFO - 17:24:30: cstr = -0.7883188793606977
INFO - 17:24:30: Design space:
INFO - 17:24:30: +------+-------------+---------------------+-------------+-------+
INFO - 17:24:30: | name | lower_bound | value | upper_bound | type |
INFO - 17:24:30: +------+-------------+---------------------+-------------+-------+
INFO - 17:24:30: | x | -1.5 | -0.1666666666666667 | 1.5 | float |
INFO - 17:24:30: +------+-------------+---------------------+-------------+-------+
INFO - 17:24:30: *** End DOEScenario execution (time: 0:00:00.549737) ***
{'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 0x7fccd2273580>
Total running time of the script: ( 0 minutes 0.848 seconds)