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

.. only:: html

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

        :ref:`Go to the end <sphx_glr_download_api_gallery_reliability_plot_reliability_benchmark.py>`
        to download the full example code or to run this example in your browser via JupyterLite.

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

.. _sphx_glr_api_gallery_reliability_plot_reliability_benchmark.py:


Redundancy under independent failures
=====================================

Two independent components provide a simple comparison of series and parallel
architectures. At the component half-life, the series system survives with
probability one quarter and the parallel system with probability three quarters.

.. GENERATED FROM PYTHON SOURCE LINES 9-30



.. image-sg:: /api/gallery/reliability/images/sphx_glr_plot_reliability_benchmark_001.png
   :alt: plot reliability benchmark
   :srcset: /api/gallery/reliability/images/sphx_glr_plot_reliability_benchmark_001.png
   :class: sphx-glr-single-img





.. code-block:: Python


    import matplotlib.pyplot as plt
    import numpy as np

    from engineeringkit.reliability import exponential_reliability, parallel_reliability, series_reliability

    lam = 0.001
    t = np.linspace(0, 5000, 201)
    r = exponential_reliability(t, lam)
    series = np.array([series_reliability(ri, ri) for ri in r])
    parallel = np.array([parallel_reliability(ri, ri) for ri in r])
    assert np.isclose(series_reliability(0.5, 0.5), 0.25)
    assert np.isclose(parallel_reliability(0.5, 0.5), 0.75)
    assert np.all(series <= r) and np.all(r <= parallel)
    fig, ax = plt.subplots()
    for values, label in [(r, "one component"), (series, "series"), (parallel, "parallel")]:
        ax.plot(t, values, label=label)
    ax.set(xlabel="mission time [h]", ylabel="survival probability")
    ax.legend()

    plt.show()


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

   **Total running time of the script:** (0 minutes 0.079 seconds)


.. _sphx_glr_download_api_gallery_reliability_plot_reliability_benchmark.py:

.. only:: html

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

    .. container:: lite-badge

      .. image:: images/jupyterlite_badge_logo.svg
        :target: ../../../lite/lab/index.html?path=api/gallery/reliability/plot_reliability_benchmark.ipynb
        :alt: Launch JupyterLite
        :width: 150 px

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

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

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

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

    .. container:: sphx-glr-download sphx-glr-download-zip

      :download:`Download zipped: plot_reliability_benchmark.zip <plot_reliability_benchmark.zip>`


.. only:: html

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

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