.. 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 31-47

.. code-block:: default

    from __future__ import absolute_import, division, print_function, unicode_literals

    from future import standard_library

    from gemseo.api import (
        configure_logger,
        create_design_space,
        create_discipline,
        create_scenario,
    )
    from gemseo.core.mdo_scenario import MDOScenarioAdapter

    configure_logger()

    standard_library.install_aliases()








.. GENERATED FROM PYTHON SOURCE LINES 48-50

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

.. GENERATED FROM PYTHON SOURCE LINES 50-57

.. 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 58-60

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

.. GENERATED FROM PYTHON SOURCE LINES 60-63

.. 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 64-66

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

.. GENERATED FROM PYTHON SOURCE LINES 66-75

.. 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 76-78

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

.. GENERATED FROM PYTHON SOURCE LINES 78-83

.. 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 84-86

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

.. GENERATED FROM PYTHON SOURCE LINES 86-97

.. 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


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



.. GENERATED FROM PYTHON SOURCE LINES 98-100

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

.. GENERATED FROM PYTHON SOURCE LINES 100-101

.. code-block:: default

    scenario_doe.post_process("BasicHistory", data_list=["obj"], save=False, show=True)



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


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

 Out:

 .. code-block:: none


    <gemseo.post.basic_history.BasicHistory object at 0x7fc29d9e7760>




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

   **Total running time of the script:** ( 0 minutes  0.611 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>`_