.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "examples/scenario_adapter/plot_multistart_example.py"
.. LINE NUMBERS ARE GIVEN BELOW.

.. only:: html

    .. note::
        :class: sphx-glr-download-link-note

        Click :ref:`here <sphx_glr_download_examples_scenario_adapter_plot_multistart_example.py>`
        to download the full example code

.. rst-class:: sphx-glr-example-title

.. _sphx_glr_examples_scenario_adapter_plot_multistart_example.py:


Multistart optimization
=======================

Runs simple optimization problem with multiple starting points
Nests a :class:`.MDOScenario` in a :class:`.DOEScenario`
using a :class:`.MDOScenarioAdapter`.

.. GENERATED FROM PYTHON SOURCE LINES 31-46

.. code-block:: default

    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()






.. rst-class:: sphx-glr-script-out

 Out:

 .. code-block:: none


    <RootLogger root (INFO)>



.. GENERATED FROM PYTHON SOURCE LINES 47-49

Create the disciplines
----------------------

.. GENERATED FROM PYTHON SOURCE LINES 49-56

.. code-block:: default

    objective = create_discipline(
        "AnalyticDiscipline", expressions_dict={"obj": "x**3-x+1"}
    )
    constraint = create_discipline(
        "AnalyticDiscipline", expressions_dict={"cstr": "x**2+obj**2-1.5"}
    )








.. GENERATED FROM PYTHON SOURCE LINES 57-59

Create the design space
-----------------------

.. GENERATED FROM PYTHON SOURCE LINES 59-62

.. code-block:: default

    design_space = create_design_space()
    design_space.add_variable("x", 1, l_b=-1.5, u_b=1.5, value=1.5)








.. GENERATED FROM PYTHON SOURCE LINES 63-65

Create the MDO scenario
-----------------------

.. GENERATED FROM PYTHON SOURCE LINES 65-74

.. code-block:: default

    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")








.. GENERATED FROM PYTHON SOURCE LINES 75-77

Create the scenario adapter
---------------------------

.. GENERATED FROM PYTHON SOURCE LINES 77-82

.. code-block:: default

    dv_names = scenario.formulation.opt_problem.design_space.variables_names
    adapter = MDOScenarioAdapter(
        scenario, dv_names, ["obj", "cstr"], set_x0_before_opt=True
    )








.. GENERATED FROM PYTHON SOURCE LINES 83-85

Create the DOE scenario
-----------------------

.. GENERATED FROM PYTHON SOURCE LINES 85-96

.. code-block:: default

    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)





.. rst-class:: sphx-glr-script-out

 Out:

 .. code-block:: none

        INFO - 09:23:48:  
        INFO - 09:23:48: *** Start DOE Scenario execution ***
        INFO - 09:23:48: DOEScenario
        INFO - 09:23:48:    Disciplines: MDOScenario_adapter
        INFO - 09:23:48:    MDOFormulation: DisciplinaryOpt
        INFO - 09:23:48:    Algorithm: fullfact
        INFO - 09:23:48: Optimization problem:
        INFO - 09:23:48:    Minimize: obj(x)
        INFO - 09:23:48:    With respect to: x
        INFO - 09:23:48:    Subject to constraints:
        INFO - 09:23:48:       cstr(x) <= 0.0
        INFO - 09:23:48: Full factorial design required. Number of samples along each direction for a design vector of size 1 with 10 samples: 10
        INFO - 09:23:48: Final number of samples for DOE = 10 vs 10 requested
        INFO - 09:23:48: DOE sampling:   0%|          | 0/10 [00:00<?, ?it]
        INFO - 09:23:48:  
        INFO - 09:23:48: *** Start MDO Scenario execution ***
        INFO - 09:23:48: MDOScenario
        INFO - 09:23:48:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 09:23:48:    MDOFormulation: DisciplinaryOpt
        INFO - 09:23:48:    Algorithm: SLSQP
        INFO - 09:23:48: Optimization problem:
        INFO - 09:23:48:    Minimize: obj(x)
        INFO - 09:23:48:    With respect to: x
        INFO - 09:23:48:    Subject to constraints:
        INFO - 09:23:48:       cstr(x) <= 0.0
        INFO - 09:23:48: Design Space:
        INFO - 09:23:48: +------+-------------+-------+-------------+-------+
        INFO - 09:23:48: | name | lower_bound | value | upper_bound | type  |
        INFO - 09:23:48: +------+-------------+-------+-------------+-------+
        INFO - 09:23:48: | x    |     -1.5    |  -1.5 |     1.5     | float |
        INFO - 09:23:48: +------+-------------+-------+-------------+-------+
        INFO - 09:23:48: Optimization:   0%|          | 0/10 [00:00<?, ?it]
        INFO - 09:23:48: 
     WARNING - 09:23:48: Optimization found no feasible point !  The least infeasible point is selected.
        INFO - 09:23:48: Optimization: 100%|██████████| 10/10 [00:00<00:00, 375.21 it/sec, obj=1.25]
        INFO - 09:23:48: Optimization result:
        INFO - 09:23:48: Objective value = 0.2888129873625884
        INFO - 09:23:48: The result is not feasible.
        INFO - 09:23:48: Status: None
        INFO - 09:23:48: Optimizer message: Maximum number of iterations reached. GEMSEO Stopped the driver
        INFO - 09:23:48: Number of calls to the objective function by the optimizer: 12
        INFO - 09:23:48: Constraints values w.r.t. 0: 
        INFO - 09:23:48:    cstr = 0.1513713660745195
        INFO - 09:23:48: Design Space:
        INFO - 09:23:48: +------+-------------+--------------------+-------------+-------+
        INFO - 09:23:48: | name | lower_bound |       value        | upper_bound | type  |
        INFO - 09:23:48: +------+-------------+--------------------+-------------+-------+
        INFO - 09:23:48: | x    |     -1.5    | -1.252181466244097 |     1.5     | float |
        INFO - 09:23:48: +------+-------------+--------------------+-------------+-------+
        INFO - 09:23:48: *** MDO Scenario run terminated in 0:00:00.035448 ***
        INFO - 09:23:48:  
        INFO - 09:23:48: *** Start MDO Scenario execution ***
        INFO - 09:23:48: MDOScenario
        INFO - 09:23:48:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 09:23:48:    MDOFormulation: DisciplinaryOpt
        INFO - 09:23:48:    Algorithm: SLSQP
        INFO - 09:23:48: Optimization problem:
        INFO - 09:23:48:    Minimize: obj(x)
        INFO - 09:23:48:    With respect to: x
        INFO - 09:23:48:    Subject to constraints:
        INFO - 09:23:48:       cstr(x) <= 0.0
        INFO - 09:23:48: Design Space:
        INFO - 09:23:48: +------+-------------+--------------------+-------------+-------+
        INFO - 09:23:48: | name | lower_bound |       value        | upper_bound | type  |
        INFO - 09:23:48: +------+-------------+--------------------+-------------+-------+
        INFO - 09:23:48: | x    |     -1.5    | -1.166666666666667 |     1.5     | float |
        INFO - 09:23:48: +------+-------------+--------------------+-------------+-------+
        INFO - 09:23:48: Optimization:   0%|          | 0/10 [00:00<?, ?it]
        INFO - 09:23:48: 
     WARNING - 09:23:48: Optimization found no feasible point !  The least infeasible point is selected.
        INFO - 09:23:48: Optimization: 100%|██████████| 10/10 [00:00<00:00, 470.72 it/sec, obj=0.288]
        INFO - 09:23:48: Optimization result:
        INFO - 09:23:48: Objective value = 0.28811314244670916
        INFO - 09:23:48: The result is not feasible.
        INFO - 09:23:48: Status: None
        INFO - 09:23:48: Optimizer message: Maximum number of iterations reached. GEMSEO Stopped the driver
        INFO - 09:23:48: Number of calls to the objective function by the optimizer: 12
        INFO - 09:23:48: Constraints values w.r.t. 0: 
        INFO - 09:23:48:    cstr = 0.15144075010172386
        INFO - 09:23:48: Design Space:
        INFO - 09:23:48: +------+-------------+--------------------+-------------+-------+
        INFO - 09:23:48: | name | lower_bound |       value        | upper_bound | type  |
        INFO - 09:23:48: +------+-------------+--------------------+-------------+-------+
        INFO - 09:23:48: | x    |     -1.5    | -1.252370379421043 |     1.5     | float |
        INFO - 09:23:48: +------+-------------+--------------------+-------------+-------+
        INFO - 09:23:48: *** MDO Scenario run terminated in 0:00:00.029231 ***
        INFO - 09:23:48:  
        INFO - 09:23:48: *** Start MDO Scenario execution ***
        INFO - 09:23:48: MDOScenario
        INFO - 09:23:48:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 09:23:48:    MDOFormulation: DisciplinaryOpt
        INFO - 09:23:48:    Algorithm: SLSQP
        INFO - 09:23:48: Optimization problem:
        INFO - 09:23:48:    Minimize: obj(x)
        INFO - 09:23:48:    With respect to: x
        INFO - 09:23:48:    Subject to constraints:
        INFO - 09:23:48:       cstr(x) <= 0.0
        INFO - 09:23:48: Design Space:
        INFO - 09:23:48: +------+-------------+---------------------+-------------+-------+
        INFO - 09:23:48: | name | lower_bound |        value        | upper_bound | type  |
        INFO - 09:23:48: +------+-------------+---------------------+-------------+-------+
        INFO - 09:23:48: | x    |     -1.5    | -0.8333333333333334 |     1.5     | float |
        INFO - 09:23:48: +------+-------------+---------------------+-------------+-------+
        INFO - 09:23:48: Optimization:   0%|          | 0/10 [00:00<?, ?it]
        INFO - 09:23:48: 
     WARNING - 09:23:48: Optimization found no feasible point !  The least infeasible point is selected.
        INFO - 09:23:48: Optimization: 100%|██████████| 10/10 [00:00<00:00, 495.03 it/sec, obj=-.875]
        INFO - 09:23:48: Optimization result:
        INFO - 09:23:48: Objective value = 0.5837798751488654
        INFO - 09:23:48: The result is not feasible.
        INFO - 09:23:48: Status: None
        INFO - 09:23:48: Optimizer message: Maximum number of iterations reached. GEMSEO Stopped the driver
        INFO - 09:23:48: Number of calls to the objective function by the optimizer: 12
        INFO - 09:23:48: Constraints values w.r.t. 0: 
        INFO - 09:23:48:    cstr = 0.19806414484529755
        INFO - 09:23:48: Design Space:
        INFO - 09:23:48: +------+-------------+--------------------+-------------+-------+
        INFO - 09:23:48: | name | lower_bound |       value        | upper_bound | type  |
        INFO - 09:23:48: +------+-------------+--------------------+-------------+-------+
        INFO - 09:23:48: | x    |     -1.5    | -1.165017254042391 |     1.5     | float |
        INFO - 09:23:48: +------+-------------+--------------------+-------------+-------+
        INFO - 09:23:48: *** MDO Scenario run terminated in 0:00:00.027963 ***
        INFO - 09:23:48: DOE sampling:  40%|████      | 4/10 [00:00<00:00, 98.15 it/sec, obj=0.584]
        INFO - 09:23:48:  
        INFO - 09:23:48: *** Start MDO Scenario execution ***
        INFO - 09:23:48: MDOScenario
        INFO - 09:23:48:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 09:23:48:    MDOFormulation: DisciplinaryOpt
        INFO - 09:23:48:    Algorithm: SLSQP
        INFO - 09:23:48: Optimization problem:
        INFO - 09:23:48:    Minimize: obj(x)
        INFO - 09:23:48:    With respect to: x
        INFO - 09:23:48:    Subject to constraints:
        INFO - 09:23:48:       cstr(x) <= 0.0
        INFO - 09:23:48: Design Space:
        INFO - 09:23:48: +------+-------------+-------+-------------+-------+
        INFO - 09:23:48: | name | lower_bound | value | upper_bound | type  |
        INFO - 09:23:48: +------+-------------+-------+-------------+-------+
        INFO - 09:23:48: | x    |     -1.5    |  -0.5 |     1.5     | float |
        INFO - 09:23:48: +------+-------------+-------+-------------+-------+
        INFO - 09:23:48: Optimization:   0%|          | 0/10 [00:00<?, ?it]
        INFO - 09:23:48: 
        INFO - 09:23:48: Optimization: 100%|██████████| 10/10 [00:00<00:00, 389.54 it/sec, obj=0.615]
        INFO - 09:23:48: Optimization result:
        INFO - 09:23:48: Objective value = 0.6150998219543254
        INFO - 09:23:48: The result is feasible.
        INFO - 09:23:48: Status: None
        INFO - 09:23:48: Optimizer message: Maximum number of iterations reached. GEMSEO Stopped the driver
        INFO - 09:23:48: Number of calls to the objective function by the optimizer: 13
        INFO - 09:23:48: Constraints values w.r.t. 0: 
        INFO - 09:23:48:    cstr = -0.788285881879476
        INFO - 09:23:48: Design Space:
        INFO - 09:23:48: +------+-------------+--------------------+-------------+-------+
        INFO - 09:23:48: | name | lower_bound |       value        | upper_bound | type  |
        INFO - 09:23:48: +------+-------------+--------------------+-------------+-------+
        INFO - 09:23:48: | x    |     -1.5    | 0.5773788419679762 |     1.5     | float |
        INFO - 09:23:48: +------+-------------+--------------------+-------------+-------+
        INFO - 09:23:48: *** MDO Scenario run terminated in 0:00:00.032932 ***
        INFO - 09:23:48:  
        INFO - 09:23:48: *** Start MDO Scenario execution ***
        INFO - 09:23:48: MDOScenario
        INFO - 09:23:48:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 09:23:48:    MDOFormulation: DisciplinaryOpt
        INFO - 09:23:48:    Algorithm: SLSQP
        INFO - 09:23:48: Optimization problem:
        INFO - 09:23:48:    Minimize: obj(x)
        INFO - 09:23:48:    With respect to: x
        INFO - 09:23:48:    Subject to constraints:
        INFO - 09:23:48:       cstr(x) <= 0.0
        INFO - 09:23:48: Design Space:
        INFO - 09:23:48: +------+-------------+---------------------+-------------+-------+
        INFO - 09:23:48: | name | lower_bound |        value        | upper_bound | type  |
        INFO - 09:23:48: +------+-------------+---------------------+-------------+-------+
        INFO - 09:23:48: | x    |     -1.5    | -0.1666666666666667 |     1.5     | float |
        INFO - 09:23:48: +------+-------------+---------------------+-------------+-------+
        INFO - 09:23:48: Optimization:   0%|          | 0/10 [00:00<?, ?it]
        INFO - 09:23:48: 
        INFO - 09:23:48: Optimization: 100%|██████████| 10/10 [00:00<00:00, 381.46 it/sec, obj=0.615]
        INFO - 09:23:48: Optimization result:
        INFO - 09:23:48: Objective value = 0.6150998205402495
        INFO - 09:23:48: The result is feasible.
        INFO - 09:23:48: Status: None
        INFO - 09:23:48: Optimizer message: Maximum number of iterations reached. GEMSEO Stopped the driver
        INFO - 09:23:48: Number of calls to the objective function by the optimizer: 12
        INFO - 09:23:48: Constraints values w.r.t. 0: 
        INFO - 09:23:48:    cstr = -0.7883188793606977
        INFO - 09:23:48: Design Space:
        INFO - 09:23:48: +------+-------------+--------------------+-------------+-------+
        INFO - 09:23:48: | name | lower_bound |       value        | upper_bound | type  |
        INFO - 09:23:48: +------+-------------+--------------------+-------------+-------+
        INFO - 09:23:48: | x    |     -1.5    | 0.5773502675245377 |     1.5     | float |
        INFO - 09:23:48: +------+-------------+--------------------+-------------+-------+
        INFO - 09:23:48: *** MDO Scenario run terminated in 0:00:00.034280 ***
        INFO - 09:23:48:  
        INFO - 09:23:48: *** Start MDO Scenario execution ***
        INFO - 09:23:48: MDOScenario
        INFO - 09:23:48:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 09:23:48:    MDOFormulation: DisciplinaryOpt
        INFO - 09:23:48:    Algorithm: SLSQP
        INFO - 09:23:48: Optimization problem:
        INFO - 09:23:48:    Minimize: obj(x)
        INFO - 09:23:48:    With respect to: x
        INFO - 09:23:48:    Subject to constraints:
        INFO - 09:23:48:       cstr(x) <= 0.0
        INFO - 09:23:48: Design Space:
        INFO - 09:23:48: +------+-------------+--------------------+-------------+-------+
        INFO - 09:23:48: | name | lower_bound |       value        | upper_bound | type  |
        INFO - 09:23:48: +------+-------------+--------------------+-------------+-------+
        INFO - 09:23:48: | x    |     -1.5    | 0.1666666666666667 |     1.5     | float |
        INFO - 09:23:48: +------+-------------+--------------------+-------------+-------+
        INFO - 09:23:48: Optimization:   0%|          | 0/10 [00:00<?, ?it]
        INFO - 09:23:48: 
        INFO - 09:23:48: Optimization: 100%|██████████| 10/10 [00:00<00:00, 402.86 it/sec, obj=0.615]
        INFO - 09:23:48: Optimization result:
        INFO - 09:23:48: Objective value = 0.6150998205402495
        INFO - 09:23:48: The result is feasible.
        INFO - 09:23:48: Status: None
        INFO - 09:23:48: Optimizer message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 09:23:48: Number of calls to the objective function by the optimizer: 11
        INFO - 09:23:48: Constraints values w.r.t. 0: 
        INFO - 09:23:48:    cstr = -0.7883188774386114
        INFO - 09:23:48: Design Space:
        INFO - 09:23:48: +------+-------------+--------------------+-------------+-------+
        INFO - 09:23:48: | name | lower_bound |       value        | upper_bound | type  |
        INFO - 09:23:48: +------+-------------+--------------------+-------------+-------+
        INFO - 09:23:48: | x    |     -1.5    | 0.5773502691891133 |     1.5     | float |
        INFO - 09:23:48: +------+-------------+--------------------+-------------+-------+
        INFO - 09:23:48: *** MDO Scenario run terminated in 0:00:00.032749 ***
        INFO - 09:23:48:  
        INFO - 09:23:48: *** Start MDO Scenario execution ***
        INFO - 09:23:48: MDOScenario
        INFO - 09:23:48:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 09:23:48:    MDOFormulation: DisciplinaryOpt
        INFO - 09:23:48:    Algorithm: SLSQP
        INFO - 09:23:48: Optimization problem:
        INFO - 09:23:48:    Minimize: obj(x)
        INFO - 09:23:48:    With respect to: x
        INFO - 09:23:48:    Subject to constraints:
        INFO - 09:23:48:       cstr(x) <= 0.0
        INFO - 09:23:48: Design Space:
        INFO - 09:23:48: +------+-------------+-------+-------------+-------+
        INFO - 09:23:48: | name | lower_bound | value | upper_bound | type  |
        INFO - 09:23:48: +------+-------------+-------+-------------+-------+
        INFO - 09:23:48: | x    |     -1.5    |  0.5  |     1.5     | float |
        INFO - 09:23:48: +------+-------------+-------+-------------+-------+
        INFO - 09:23:48: Optimization:   0%|          | 0/10 [00:00<?, ?it]
        INFO - 09:23:48: 
        INFO - 09:23:48: Optimization:  80%|████████  | 8/10 [00:00<00:00, 514.73 it/sec, obj=0.615]
        INFO - 09:23:48: Optimization result:
        INFO - 09:23:48: Objective value = 0.6150998205402495
        INFO - 09:23:48: The result is feasible.
        INFO - 09:23:48: Status: None
        INFO - 09:23:48: Optimizer message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
        INFO - 09:23:48: Number of calls to the objective function by the optimizer: 9
        INFO - 09:23:48: Constraints values w.r.t. 0: 
        INFO - 09:23:48:    cstr = -0.78831887743932
        INFO - 09:23:48: Design Space:
        INFO - 09:23:48: +------+-------------+--------------------+-------------+-------+
        INFO - 09:23:48: | name | lower_bound |       value        | upper_bound | type  |
        INFO - 09:23:48: +------+-------------+--------------------+-------------+-------+
        INFO - 09:23:48: | x    |     -1.5    | 0.5773502691884995 |     1.5     | float |
        INFO - 09:23:48: +------+-------------+--------------------+-------------+-------+
        INFO - 09:23:48: *** MDO Scenario run terminated in 0:00:00.027268 ***
        INFO - 09:23:48: DOE sampling:  80%|████████  | 8/10 [00:00<00:00, 42.74 it/sec, obj=0.615]
        INFO - 09:23:48:  
        INFO - 09:23:48: *** Start MDO Scenario execution ***
        INFO - 09:23:48: MDOScenario
        INFO - 09:23:48:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 09:23:48:    MDOFormulation: DisciplinaryOpt
        INFO - 09:23:48:    Algorithm: SLSQP
        INFO - 09:23:48: Optimization problem:
        INFO - 09:23:48:    Minimize: obj(x)
        INFO - 09:23:48:    With respect to: x
        INFO - 09:23:48:    Subject to constraints:
        INFO - 09:23:48:       cstr(x) <= 0.0
        INFO - 09:23:48: Design Space:
        INFO - 09:23:48: +------+-------------+--------------------+-------------+-------+
        INFO - 09:23:48: | name | lower_bound |       value        | upper_bound | type  |
        INFO - 09:23:48: +------+-------------+--------------------+-------------+-------+
        INFO - 09:23:48: | x    |     -1.5    | 0.8333333333333335 |     1.5     | float |
        INFO - 09:23:48: +------+-------------+--------------------+-------------+-------+
        INFO - 09:23:48: Optimization:   0%|          | 0/10 [00:00<?, ?it]
        INFO - 09:23:48: 
        INFO - 09:23:48: Optimization: 100%|██████████| 10/10 [00:00<00:00, 472.08 it/sec, obj=0.288]
        INFO - 09:23:48: Optimization result:
        INFO - 09:23:48: Objective value = 0.7453703703703706
        INFO - 09:23:48: The result is feasible.
        INFO - 09:23:48: Status: None
        INFO - 09:23:48: Optimizer message: Maximum number of iterations reached. GEMSEO Stopped the driver
        INFO - 09:23:48: Number of calls to the objective function by the optimizer: 12
        INFO - 09:23:48: Constraints values w.r.t. 0: 
        INFO - 09:23:48:    cstr = -0.2499785665294918
        INFO - 09:23:48: Design Space:
        INFO - 09:23:48: +------+-------------+--------------------+-------------+-------+
        INFO - 09:23:48: | name | lower_bound |       value        | upper_bound | type  |
        INFO - 09:23:48: +------+-------------+--------------------+-------------+-------+
        INFO - 09:23:48: | x    |     -1.5    | 0.8333333333333335 |     1.5     | float |
        INFO - 09:23:48: +------+-------------+--------------------+-------------+-------+
        INFO - 09:23:48: *** MDO Scenario run terminated in 0:00:00.029154 ***
        INFO - 09:23:48:  
        INFO - 09:23:48: *** Start MDO Scenario execution ***
        INFO - 09:23:48: MDOScenario
        INFO - 09:23:48:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 09:23:48:    MDOFormulation: DisciplinaryOpt
        INFO - 09:23:48:    Algorithm: SLSQP
        INFO - 09:23:48: Optimization problem:
        INFO - 09:23:48:    Minimize: obj(x)
        INFO - 09:23:48:    With respect to: x
        INFO - 09:23:48:    Subject to constraints:
        INFO - 09:23:48:       cstr(x) <= 0.0
        INFO - 09:23:48: Design Space:
        INFO - 09:23:48: +------+-------------+-------------------+-------------+-------+
        INFO - 09:23:48: | name | lower_bound |       value       | upper_bound | type  |
        INFO - 09:23:48: +------+-------------+-------------------+-------------+-------+
        INFO - 09:23:48: | x    |     -1.5    | 1.166666666666667 |     1.5     | float |
        INFO - 09:23:48: +------+-------------+-------------------+-------------+-------+
        INFO - 09:23:48: Optimization:   0%|          | 0/10 [00:00<?, ?it]
        INFO - 09:23:48: 
     WARNING - 09:23:49: Optimization found no feasible point !  The least infeasible point is selected.
        INFO - 09:23:49: Optimization: 100%|██████████| 10/10 [00:00<00:00, 462.57 it/sec, obj=0.288]
        INFO - 09:23:49: Optimization result:
        INFO - 09:23:49: Objective value = 0.28811314244698893
        INFO - 09:23:49: The result is not feasible.
        INFO - 09:23:49: Status: None
        INFO - 09:23:49: Optimizer message: Maximum number of iterations reached. GEMSEO Stopped the driver
        INFO - 09:23:49: Number of calls to the objective function by the optimizer: 12
        INFO - 09:23:49: Constraints values w.r.t. 0: 
        INFO - 09:23:49:    cstr = 0.1514407501016959
        INFO - 09:23:49: Design Space:
        INFO - 09:23:49: +------+-------------+--------------------+-------------+-------+
        INFO - 09:23:49: | name | lower_bound |       value        | upper_bound | type  |
        INFO - 09:23:49: +------+-------------+--------------------+-------------+-------+
        INFO - 09:23:49: | x    |     -1.5    | -1.252370379420967 |     1.5     | float |
        INFO - 09:23:49: +------+-------------+--------------------+-------------+-------+
        INFO - 09:23:49: *** MDO Scenario run terminated in 0:00:00.029334 ***
        INFO - 09:23:49:  
        INFO - 09:23:49: *** Start MDO Scenario execution ***
        INFO - 09:23:49: MDOScenario
        INFO - 09:23:49:    Disciplines: AnalyticDiscipline AnalyticDiscipline
        INFO - 09:23:49:    MDOFormulation: DisciplinaryOpt
        INFO - 09:23:49:    Algorithm: SLSQP
        INFO - 09:23:49: Optimization problem:
        INFO - 09:23:49:    Minimize: obj(x)
        INFO - 09:23:49:    With respect to: x
        INFO - 09:23:49:    Subject to constraints:
        INFO - 09:23:49:       cstr(x) <= 0.0
        INFO - 09:23:49: Design Space:
        INFO - 09:23:49: +------+-------------+-------+-------------+-------+
        INFO - 09:23:49: | name | lower_bound | value | upper_bound | type  |
        INFO - 09:23:49: +------+-------------+-------+-------------+-------+
        INFO - 09:23:49: | x    |     -1.5    |  1.5  |     1.5     | float |
        INFO - 09:23:49: +------+-------------+-------+-------------+-------+
        INFO - 09:23:49: Optimization:   0%|          | 0/10 [00:00<?, ?it]
        INFO - 09:23:49: 
     WARNING - 09:23:49: Optimization found no feasible point !  The least infeasible point is selected.
        INFO - 09:23:49: Optimization: 100%|██████████| 10/10 [00:00<00:00, 474.34 it/sec, obj=0.288]
        INFO - 09:23:49: Optimization result:
        INFO - 09:23:49: Objective value = 0.28811314244587316
        INFO - 09:23:49: The result is not feasible.
        INFO - 09:23:49: Status: None
        INFO - 09:23:49: Optimizer message: Maximum number of iterations reached. GEMSEO Stopped the driver
        INFO - 09:23:49: Number of calls to the objective function by the optimizer: 12
        INFO - 09:23:49: Constraints values w.r.t. 0: 
        INFO - 09:23:49:    cstr = 0.15144075010180735
        INFO - 09:23:49: Design Space:
        INFO - 09:23:49: +------+-------------+--------------------+-------------+-------+
        INFO - 09:23:49: | name | lower_bound |       value        | upper_bound | type  |
        INFO - 09:23:49: +------+-------------+--------------------+-------------+-------+
        INFO - 09:23:49: | x    |     -1.5    | -1.252370379421268 |     1.5     | float |
        INFO - 09:23:49: +------+-------------+--------------------+-------------+-------+
        INFO - 09:23:49: *** MDO Scenario run terminated in 0:00:00.028781 ***
        INFO - 09:23:49: DOE sampling: 100%|██████████| 10/10 [00:00<00:00, 30.71 it/sec, obj=0.288]
        INFO - 09:23:49: Optimization result:
        INFO - 09:23:49: Objective value = 0.6150998205402495
        INFO - 09:23:49: The result is feasible.
        INFO - 09:23:49: Status: None
        INFO - 09:23:49: Optimizer message: None
        INFO - 09:23:49: Number of calls to the objective function by the optimizer: 10
        INFO - 09:23:49: Constraints values w.r.t. 0: 
        INFO - 09:23:49:    cstr = -0.7883188793606977
        INFO - 09:23:49: Design Space:
        INFO - 09:23:49: +------+-------------+---------------------+-------------+-------+
        INFO - 09:23:49: | name | lower_bound |        value        | upper_bound | type  |
        INFO - 09:23:49: +------+-------------+---------------------+-------------+-------+
        INFO - 09:23:49: | x    |     -1.5    | -0.1666666666666667 |     1.5     | float |
        INFO - 09:23:49: +------+-------------+---------------------+-------------+-------+
        INFO - 09:23:49: *** DOE Scenario run terminated ***

    {'eval_jac': False, 'algo': 'fullfact', 'n_samples': 10}



.. GENERATED FROM PYTHON SOURCE LINES 97-99

Plot the optimum objective for different x0
-------------------------------------------

.. GENERATED FROM PYTHON SOURCE LINES 99-102

.. code-block:: default

    scenario_doe.post_process("BasicHistory", data_list=["obj"], save=False, show=False)
    # Workaround for HTML rendering, instead of ``show=True``
    plt.show()



.. image:: /examples/scenario_adapter/images/sphx_glr_plot_multistart_example_001.png
    :alt: History plot
    :class: sphx-glr-single-img






.. rst-class:: sphx-glr-timing

   **Total running time of the script:** ( 0 minutes  0.617 seconds)


.. _sphx_glr_download_examples_scenario_adapter_plot_multistart_example.py:


.. only :: html

 .. container:: sphx-glr-footer
    :class: sphx-glr-footer-example



  .. container:: sphx-glr-download sphx-glr-download-python

     :download:`Download Python source code: plot_multistart_example.py <plot_multistart_example.py>`



  .. container:: sphx-glr-download sphx-glr-download-jupyter

     :download:`Download Jupyter notebook: plot_multistart_example.ipynb <plot_multistart_example.ipynb>`


.. only:: html

 .. rst-class:: sphx-glr-signature

    `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.github.io>`_