Note
Click here to download the full example code
Multistart optimization¶
Runs simple optimization problem with multiple starting points
Nests a MDOScenario in a DOEScenario
using a MDOScenarioAdapter.
from __future__ import division, unicode_literals
from matplotlib import pyplot as plt
from gemseo.api import (
configure_logger,
create_design_space,
create_discipline,
create_scenario,
)
from gemseo.core.mdo_scenario import MDOScenarioAdapter
configure_logger()
Out:
<RootLogger root (INFO)>
Create the disciplines¶
objective = create_discipline(
"AnalyticDiscipline", expressions_dict={"obj": "x**3-x+1"}
)
constraint = create_discipline(
"AnalyticDiscipline", expressions_dict={"cstr": "x**2+obj**2-1.5"}
)
Create the design space¶
design_space = create_design_space()
design_space.add_variable("x", 1, 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)
Out:
INFO - 21:50:46:
INFO - 21:50:46: *** Start DOE Scenario execution ***
INFO - 21:50:46: DOEScenario
INFO - 21:50:46: Disciplines: MDOScenario_adapter
INFO - 21:50:46: MDOFormulation: DisciplinaryOpt
INFO - 21:50:46: Algorithm: fullfact
INFO - 21:50:46: Optimization problem:
INFO - 21:50:46: Minimize: obj(x)
INFO - 21:50:46: With respect to: x
INFO - 21:50:46: Subject to constraints:
INFO - 21:50:46: cstr(x) <= 0.0
INFO - 21:50:46: Full factorial design required. Number of samples along each direction for a design vector of size 1 with 10 samples: 10
INFO - 21:50:46: Final number of samples for DOE = 10 vs 10 requested
INFO - 21:50:46: DOE sampling: 0%| | 0/10 [00:00<?, ?it]
INFO - 21:50:46:
INFO - 21:50:46: *** Start MDO Scenario execution ***
INFO - 21:50:46: MDOScenario
INFO - 21:50:46: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 21:50:46: MDOFormulation: DisciplinaryOpt
INFO - 21:50:46: Algorithm: SLSQP
INFO - 21:50:46: Optimization problem:
INFO - 21:50:46: Minimize: obj(x)
INFO - 21:50:46: With respect to: x
INFO - 21:50:46: Subject to constraints:
INFO - 21:50:46: cstr(x) <= 0.0
INFO - 21:50:46: Design space:
INFO - 21:50:46: +------+-------------+-------+-------------+-------+
INFO - 21:50:46: | name | lower_bound | value | upper_bound | type |
INFO - 21:50:46: +------+-------------+-------+-------------+-------+
INFO - 21:50:46: | x | -1.5 | -1.5 | 1.5 | float |
INFO - 21:50:46: +------+-------------+-------+-------------+-------+
INFO - 21:50:46: Optimization: 0%| | 0/10 [00:00<?, ?it]
INFO - 21:50:46: [A
WARNING - 21:50:46: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 21:50:46: Optimization: 100%|██████████| 10/10 [00:00<00:00, 514.32 it/sec, obj=1.25]
INFO - 21:50:46: Optimization result:
INFO - 21:50:46: Objective value = 0.2888129873625884
INFO - 21:50:46: The result is not feasible.
INFO - 21:50:46: Status: None
INFO - 21:50:46: Optimizer message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 21:50:46: Number of calls to the objective function by the optimizer: 12
INFO - 21:50:46: Constraints values:
INFO - 21:50:46: cstr = 0.1513713660745195
INFO - 21:50:46: Design space:
INFO - 21:50:46: +------+-------------+--------------------+-------------+-------+
INFO - 21:50:46: | name | lower_bound | value | upper_bound | type |
INFO - 21:50:46: +------+-------------+--------------------+-------------+-------+
INFO - 21:50:46: | x | -1.5 | -1.252181466244097 | 1.5 | float |
INFO - 21:50:46: +------+-------------+--------------------+-------------+-------+
INFO - 21:50:46: *** MDO Scenario run terminated in 0:00:00.024844 ***
INFO - 21:50:46:
INFO - 21:50:46: *** Start MDO Scenario execution ***
INFO - 21:50:46: MDOScenario
INFO - 21:50:46: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 21:50:46: MDOFormulation: DisciplinaryOpt
INFO - 21:50:46: Algorithm: SLSQP
INFO - 21:50:46: Optimization problem:
INFO - 21:50:46: Minimize: obj(x)
INFO - 21:50:46: With respect to: x
INFO - 21:50:46: Subject to constraints:
INFO - 21:50:46: cstr(x) <= 0.0
INFO - 21:50:46: Design space:
INFO - 21:50:46: +------+-------------+--------------------+-------------+-------+
INFO - 21:50:46: | name | lower_bound | value | upper_bound | type |
INFO - 21:50:46: +------+-------------+--------------------+-------------+-------+
INFO - 21:50:46: | x | -1.5 | -1.166666666666667 | 1.5 | float |
INFO - 21:50:46: +------+-------------+--------------------+-------------+-------+
INFO - 21:50:46: Optimization: 0%| | 0/10 [00:00<?, ?it]
INFO - 21:50:46: [A
WARNING - 21:50:47: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 21:50:47: Optimization: 100%|██████████| 10/10 [00:00<00:00, 610.29 it/sec, obj=0.288]
INFO - 21:50:47: Optimization result:
INFO - 21:50:47: Objective value = 0.28811314244670916
INFO - 21:50:47: The result is not feasible.
INFO - 21:50:47: Status: None
INFO - 21:50:47: Optimizer message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 21:50:47: Number of calls to the objective function by the optimizer: 12
INFO - 21:50:47: Constraints values:
INFO - 21:50:47: cstr = 0.15144075010172386
INFO - 21:50:47: Design space:
INFO - 21:50:47: +------+-------------+--------------------+-------------+-------+
INFO - 21:50:47: | name | lower_bound | value | upper_bound | type |
INFO - 21:50:47: +------+-------------+--------------------+-------------+-------+
INFO - 21:50:47: | x | -1.5 | -1.252370379421043 | 1.5 | float |
INFO - 21:50:47: +------+-------------+--------------------+-------------+-------+
INFO - 21:50:47: *** MDO Scenario run terminated in 0:00:00.021446 ***
INFO - 21:50:47:
INFO - 21:50:47: *** Start MDO Scenario execution ***
INFO - 21:50:47: MDOScenario
INFO - 21:50:47: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 21:50:47: MDOFormulation: DisciplinaryOpt
INFO - 21:50:47: Algorithm: SLSQP
INFO - 21:50:47: Optimization problem:
INFO - 21:50:47: Minimize: obj(x)
INFO - 21:50:47: With respect to: x
INFO - 21:50:47: Subject to constraints:
INFO - 21:50:47: cstr(x) <= 0.0
INFO - 21:50:47: Design space:
INFO - 21:50:47: +------+-------------+---------------------+-------------+-------+
INFO - 21:50:47: | name | lower_bound | value | upper_bound | type |
INFO - 21:50:47: +------+-------------+---------------------+-------------+-------+
INFO - 21:50:47: | x | -1.5 | -0.8333333333333334 | 1.5 | float |
INFO - 21:50:47: +------+-------------+---------------------+-------------+-------+
INFO - 21:50:47: Optimization: 0%| | 0/10 [00:00<?, ?it]
INFO - 21:50:47: [A
WARNING - 21:50:47: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 21:50:47: Optimization: 100%|██████████| 10/10 [00:00<00:00, 643.89 it/sec, obj=-.875]
INFO - 21:50:47: Optimization result:
INFO - 21:50:47: Objective value = 0.5837798751488654
INFO - 21:50:47: The result is not feasible.
INFO - 21:50:47: Status: None
INFO - 21:50:47: Optimizer message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 21:50:47: Number of calls to the objective function by the optimizer: 12
INFO - 21:50:47: Constraints values:
INFO - 21:50:47: cstr = 0.19806414484529755
INFO - 21:50:47: Design space:
INFO - 21:50:47: +------+-------------+--------------------+-------------+-------+
INFO - 21:50:47: | name | lower_bound | value | upper_bound | type |
INFO - 21:50:47: +------+-------------+--------------------+-------------+-------+
INFO - 21:50:47: | x | -1.5 | -1.165017254042391 | 1.5 | float |
INFO - 21:50:47: +------+-------------+--------------------+-------------+-------+
INFO - 21:50:47: *** MDO Scenario run terminated in 0:00:00.020775 ***
INFO - 21:50:47:
INFO - 21:50:47: *** Start MDO Scenario execution ***
INFO - 21:50:47: MDOScenario
INFO - 21:50:47: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 21:50:47: MDOFormulation: DisciplinaryOpt
INFO - 21:50:47: Algorithm: SLSQP
INFO - 21:50:47: Optimization problem:
INFO - 21:50:47: Minimize: obj(x)
INFO - 21:50:47: With respect to: x
INFO - 21:50:47: Subject to constraints:
INFO - 21:50:47: cstr(x) <= 0.0
INFO - 21:50:47: Design space:
INFO - 21:50:47: +------+-------------+-------+-------------+-------+
INFO - 21:50:47: | name | lower_bound | value | upper_bound | type |
INFO - 21:50:47: +------+-------------+-------+-------------+-------+
INFO - 21:50:47: | x | -1.5 | -0.5 | 1.5 | float |
INFO - 21:50:47: +------+-------------+-------+-------------+-------+
INFO - 21:50:47: Optimization: 0%| | 0/10 [00:00<?, ?it]
INFO - 21:50:47: [A
INFO - 21:50:47: Optimization: 100%|██████████| 10/10 [00:00<00:00, 502.31 it/sec, obj=0.615]
INFO - 21:50:47: Optimization result:
INFO - 21:50:47: Objective value = 0.6150998219543254
INFO - 21:50:47: The result is feasible.
INFO - 21:50:47: Status: None
INFO - 21:50:47: Optimizer message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 21:50:47: Number of calls to the objective function by the optimizer: 13
INFO - 21:50:47: Constraints values:
INFO - 21:50:47: cstr = -0.788285881879476
INFO - 21:50:47: Design space:
INFO - 21:50:47: +------+-------------+--------------------+-------------+-------+
INFO - 21:50:47: | name | lower_bound | value | upper_bound | type |
INFO - 21:50:47: +------+-------------+--------------------+-------------+-------+
INFO - 21:50:47: | x | -1.5 | 0.5773788419679762 | 1.5 | float |
INFO - 21:50:47: +------+-------------+--------------------+-------------+-------+
INFO - 21:50:47: *** MDO Scenario run terminated in 0:00:00.025146 ***
INFO - 21:50:47:
INFO - 21:50:47: *** Start MDO Scenario execution ***
INFO - 21:50:47: MDOScenario
INFO - 21:50:47: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 21:50:47: MDOFormulation: DisciplinaryOpt
INFO - 21:50:47: Algorithm: SLSQP
INFO - 21:50:47: Optimization problem:
INFO - 21:50:47: Minimize: obj(x)
INFO - 21:50:47: With respect to: x
INFO - 21:50:47: Subject to constraints:
INFO - 21:50:47: cstr(x) <= 0.0
INFO - 21:50:47: Design space:
INFO - 21:50:47: +------+-------------+---------------------+-------------+-------+
INFO - 21:50:47: | name | lower_bound | value | upper_bound | type |
INFO - 21:50:47: +------+-------------+---------------------+-------------+-------+
INFO - 21:50:47: | x | -1.5 | -0.1666666666666667 | 1.5 | float |
INFO - 21:50:47: +------+-------------+---------------------+-------------+-------+
INFO - 21:50:47: Optimization: 0%| | 0/10 [00:00<?, ?it]
INFO - 21:50:47: [A
INFO - 21:50:47: Optimization: 100%|██████████| 10/10 [00:00<00:00, 488.45 it/sec, obj=0.615]
INFO - 21:50:47: Optimization result:
INFO - 21:50:47: Objective value = 0.6150998205402495
INFO - 21:50:47: The result is feasible.
INFO - 21:50:47: Status: None
INFO - 21:50:47: Optimizer message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 21:50:47: Number of calls to the objective function by the optimizer: 12
INFO - 21:50:47: Constraints values:
INFO - 21:50:47: cstr = -0.7883188793606977
INFO - 21:50:47: Design space:
INFO - 21:50:47: +------+-------------+--------------------+-------------+-------+
INFO - 21:50:47: | name | lower_bound | value | upper_bound | type |
INFO - 21:50:47: +------+-------------+--------------------+-------------+-------+
INFO - 21:50:47: | x | -1.5 | 0.5773502675245377 | 1.5 | float |
INFO - 21:50:47: +------+-------------+--------------------+-------------+-------+
INFO - 21:50:47: *** MDO Scenario run terminated in 0:00:00.025789 ***
INFO - 21:50:47: DOE sampling: 50%|█████ | 5/10 [00:00<00:00, 79.18 it/sec]
INFO - 21:50:47:
INFO - 21:50:47: *** Start MDO Scenario execution ***
INFO - 21:50:47: MDOScenario
INFO - 21:50:47: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 21:50:47: MDOFormulation: DisciplinaryOpt
INFO - 21:50:47: Algorithm: SLSQP
INFO - 21:50:47: Optimization problem:
INFO - 21:50:47: Minimize: obj(x)
INFO - 21:50:47: With respect to: x
INFO - 21:50:47: Subject to constraints:
INFO - 21:50:47: cstr(x) <= 0.0
INFO - 21:50:47: Design space:
INFO - 21:50:47: +------+-------------+--------------------+-------------+-------+
INFO - 21:50:47: | name | lower_bound | value | upper_bound | type |
INFO - 21:50:47: +------+-------------+--------------------+-------------+-------+
INFO - 21:50:47: | x | -1.5 | 0.1666666666666667 | 1.5 | float |
INFO - 21:50:47: +------+-------------+--------------------+-------------+-------+
INFO - 21:50:47: Optimization: 0%| | 0/10 [00:00<?, ?it]
INFO - 21:50:47: [A
INFO - 21:50:47: Optimization: 90%|█████████ | 9/10 [00:00<00:00, 567.96 it/sec, obj=0.615]
INFO - 21:50:47: Optimization result:
INFO - 21:50:47: Objective value = 0.6150998205402508
INFO - 21:50:47: The result is feasible.
INFO - 21:50:47: Status: None
INFO - 21:50:47: Optimizer message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 21:50:47: Number of calls to the objective function by the optimizer: 10
INFO - 21:50:47: Constraints values:
INFO - 21:50:47: cstr = -0.7883189092934597
INFO - 21:50:47: Design space:
INFO - 21:50:47: +------+-------------+--------------------+-------------+-------+
INFO - 21:50:47: | name | lower_bound | value | upper_bound | type |
INFO - 21:50:47: +------+-------------+--------------------+-------------+-------+
INFO - 21:50:47: | x | -1.5 | 0.5773502416020033 | 1.5 | float |
INFO - 21:50:47: +------+-------------+--------------------+-------------+-------+
INFO - 21:50:47: *** MDO Scenario run terminated in 0:00:00.022848 ***
INFO - 21:50:47:
INFO - 21:50:47: *** Start MDO Scenario execution ***
INFO - 21:50:47: MDOScenario
INFO - 21:50:47: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 21:50:47: MDOFormulation: DisciplinaryOpt
INFO - 21:50:47: Algorithm: SLSQP
INFO - 21:50:47: Optimization problem:
INFO - 21:50:47: Minimize: obj(x)
INFO - 21:50:47: With respect to: x
INFO - 21:50:47: Subject to constraints:
INFO - 21:50:47: cstr(x) <= 0.0
INFO - 21:50:47: Design space:
INFO - 21:50:47: +------+-------------+-------+-------------+-------+
INFO - 21:50:47: | name | lower_bound | value | upper_bound | type |
INFO - 21:50:47: +------+-------------+-------+-------------+-------+
INFO - 21:50:47: | x | -1.5 | 0.5 | 1.5 | float |
INFO - 21:50:47: +------+-------------+-------+-------------+-------+
INFO - 21:50:47: Optimization: 0%| | 0/10 [00:00<?, ?it]
INFO - 21:50:47: [A
INFO - 21:50:47: Optimization: 70%|███████ | 7/10 [00:00<00:00, 736.19 it/sec, obj=0.615]
INFO - 21:50:47: Optimization result:
INFO - 21:50:47: Objective value = 0.6150998205402526
INFO - 21:50:47: The result is feasible.
INFO - 21:50:47: Status: None
INFO - 21:50:47: Optimizer message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
INFO - 21:50:47: Number of calls to the objective function by the optimizer: 8
INFO - 21:50:47: Constraints values:
INFO - 21:50:47: cstr = -0.7883188285028959
INFO - 21:50:47: Design space:
INFO - 21:50:47: +------+-------------+--------------------+-------------+-------+
INFO - 21:50:47: | name | lower_bound | value | upper_bound | type |
INFO - 21:50:47: +------+-------------+--------------------+-------------+-------+
INFO - 21:50:47: | x | -1.5 | 0.5773503115686811 | 1.5 | float |
INFO - 21:50:47: +------+-------------+--------------------+-------------+-------+
INFO - 21:50:47: *** MDO Scenario run terminated in 0:00:00.019084 ***
INFO - 21:50:47:
INFO - 21:50:47: *** Start MDO Scenario execution ***
INFO - 21:50:47: MDOScenario
INFO - 21:50:47: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 21:50:47: MDOFormulation: DisciplinaryOpt
INFO - 21:50:47: Algorithm: SLSQP
INFO - 21:50:47: Optimization problem:
INFO - 21:50:47: Minimize: obj(x)
INFO - 21:50:47: With respect to: x
INFO - 21:50:47: Subject to constraints:
INFO - 21:50:47: cstr(x) <= 0.0
INFO - 21:50:47: Design space:
INFO - 21:50:47: +------+-------------+--------------------+-------------+-------+
INFO - 21:50:47: | name | lower_bound | value | upper_bound | type |
INFO - 21:50:47: +------+-------------+--------------------+-------------+-------+
INFO - 21:50:47: | x | -1.5 | 0.8333333333333335 | 1.5 | float |
INFO - 21:50:47: +------+-------------+--------------------+-------------+-------+
INFO - 21:50:47: Optimization: 0%| | 0/10 [00:00<?, ?it]
INFO - 21:50:47: [A
INFO - 21:50:47: Optimization: 100%|██████████| 10/10 [00:00<00:00, 603.32 it/sec, obj=0.288]
INFO - 21:50:47: Optimization result:
INFO - 21:50:47: Objective value = 0.7453703703703706
INFO - 21:50:47: The result is feasible.
INFO - 21:50:47: Status: None
INFO - 21:50:47: Optimizer message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 21:50:47: Number of calls to the objective function by the optimizer: 12
INFO - 21:50:47: Constraints values:
INFO - 21:50:47: cstr = -0.2499785665294918
INFO - 21:50:47: Design space:
INFO - 21:50:47: +------+-------------+--------------------+-------------+-------+
INFO - 21:50:47: | name | lower_bound | value | upper_bound | type |
INFO - 21:50:47: +------+-------------+--------------------+-------------+-------+
INFO - 21:50:47: | x | -1.5 | 0.8333333333333335 | 1.5 | float |
INFO - 21:50:47: +------+-------------+--------------------+-------------+-------+
INFO - 21:50:47: *** MDO Scenario run terminated in 0:00:00.021737 ***
INFO - 21:50:47:
INFO - 21:50:47: *** Start MDO Scenario execution ***
INFO - 21:50:47: MDOScenario
INFO - 21:50:47: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 21:50:47: MDOFormulation: DisciplinaryOpt
INFO - 21:50:47: Algorithm: SLSQP
INFO - 21:50:47: Optimization problem:
INFO - 21:50:47: Minimize: obj(x)
INFO - 21:50:47: With respect to: x
INFO - 21:50:47: Subject to constraints:
INFO - 21:50:47: cstr(x) <= 0.0
INFO - 21:50:47: Design space:
INFO - 21:50:47: +------+-------------+-------------------+-------------+-------+
INFO - 21:50:47: | name | lower_bound | value | upper_bound | type |
INFO - 21:50:47: +------+-------------+-------------------+-------------+-------+
INFO - 21:50:47: | x | -1.5 | 1.166666666666667 | 1.5 | float |
INFO - 21:50:47: +------+-------------+-------------------+-------------+-------+
INFO - 21:50:47: Optimization: 0%| | 0/10 [00:00<?, ?it]
INFO - 21:50:47: [A
WARNING - 21:50:47: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 21:50:47: Optimization: 100%|██████████| 10/10 [00:00<00:00, 610.29 it/sec, obj=0.288]
INFO - 21:50:47: Optimization result:
INFO - 21:50:47: Objective value = 0.28811314244698893
INFO - 21:50:47: The result is not feasible.
INFO - 21:50:47: Status: None
INFO - 21:50:47: Optimizer message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 21:50:47: Number of calls to the objective function by the optimizer: 12
INFO - 21:50:47: Constraints values:
INFO - 21:50:47: cstr = 0.1514407501016959
INFO - 21:50:47: Design space:
INFO - 21:50:47: +------+-------------+--------------------+-------------+-------+
INFO - 21:50:47: | name | lower_bound | value | upper_bound | type |
INFO - 21:50:47: +------+-------------+--------------------+-------------+-------+
INFO - 21:50:47: | x | -1.5 | -1.252370379420967 | 1.5 | float |
INFO - 21:50:47: +------+-------------+--------------------+-------------+-------+
INFO - 21:50:47: *** MDO Scenario run terminated in 0:00:00.021535 ***
INFO - 21:50:47:
INFO - 21:50:47: *** Start MDO Scenario execution ***
INFO - 21:50:47: MDOScenario
INFO - 21:50:47: Disciplines: AnalyticDiscipline AnalyticDiscipline
INFO - 21:50:47: MDOFormulation: DisciplinaryOpt
INFO - 21:50:47: Algorithm: SLSQP
INFO - 21:50:47: Optimization problem:
INFO - 21:50:47: Minimize: obj(x)
INFO - 21:50:47: With respect to: x
INFO - 21:50:47: Subject to constraints:
INFO - 21:50:47: cstr(x) <= 0.0
INFO - 21:50:47: Design space:
INFO - 21:50:47: +------+-------------+-------+-------------+-------+
INFO - 21:50:47: | name | lower_bound | value | upper_bound | type |
INFO - 21:50:47: +------+-------------+-------+-------------+-------+
INFO - 21:50:47: | x | -1.5 | 1.5 | 1.5 | float |
INFO - 21:50:47: +------+-------------+-------+-------------+-------+
INFO - 21:50:47: Optimization: 0%| | 0/10 [00:00<?, ?it]
INFO - 21:50:47: [A
WARNING - 21:50:47: Optimization found no feasible point ! The least infeasible point is selected.
INFO - 21:50:47: Optimization: 100%|██████████| 10/10 [00:00<00:00, 590.29 it/sec, obj=0.288]
INFO - 21:50:47: Optimization result:
INFO - 21:50:47: Objective value = 0.28811314244587316
INFO - 21:50:47: The result is not feasible.
INFO - 21:50:47: Status: None
INFO - 21:50:47: Optimizer message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 21:50:47: Number of calls to the objective function by the optimizer: 12
INFO - 21:50:47: Constraints values:
INFO - 21:50:47: cstr = 0.15144075010180735
INFO - 21:50:47: Design space:
INFO - 21:50:47: +------+-------------+--------------------+-------------+-------+
INFO - 21:50:47: | name | lower_bound | value | upper_bound | type |
INFO - 21:50:47: +------+-------------+--------------------+-------------+-------+
INFO - 21:50:47: | x | -1.5 | -1.252370379421268 | 1.5 | float |
INFO - 21:50:47: +------+-------------+--------------------+-------------+-------+
INFO - 21:50:47: *** MDO Scenario run terminated in 0:00:00.022268 ***
INFO - 21:50:47: DOE sampling: 100%|██████████| 10/10 [00:00<00:00, 41.61 it/sec]
INFO - 21:50:47: DOE sampling: 100%|██████████| 10/10 [00:00<00:00, 41.50 it/sec]
INFO - 21:50:47: Optimization result:
INFO - 21:50:47: Objective value = 0.6150998205402495
INFO - 21:50:47: The result is feasible.
INFO - 21:50:47: Status: None
INFO - 21:50:47: Optimizer message: None
INFO - 21:50:47: Number of calls to the objective function by the optimizer: 10
INFO - 21:50:47: Constraints values:
INFO - 21:50:47: cstr = -0.7883188793606977
INFO - 21:50:47: Design space:
INFO - 21:50:47: +------+-------------+---------------------+-------------+-------+
INFO - 21:50:47: | name | lower_bound | value | upper_bound | type |
INFO - 21:50:47: +------+-------------+---------------------+-------------+-------+
INFO - 21:50:47: | x | -1.5 | -0.1666666666666667 | 1.5 | float |
INFO - 21:50:47: +------+-------------+---------------------+-------------+-------+
INFO - 21:50:47: *** DOE Scenario run terminated ***
{'eval_jac': False, 'algo': 'fullfact', 'n_samples': 10}
Plot the optimum objective for different x0¶
scenario_doe.post_process("BasicHistory", data_list=["obj"], save=False, show=False)
# Workaround for HTML rendering, instead of ``show=True``
plt.show()
Total running time of the script: ( 0 minutes 0.488 seconds)