BarlowProschanImportance

BarlowProschanImportance[rdist]
gives the BarlowProschan importances for all components in the ReliabilityDistribution rdist.

BarlowProschanImportance[fdist]
gives the BarlowProschan importances for all components in the FailureDistribution fdist.

DetailsDetails

  • The BarlowProschan importance for component is the probability that the failure of component coincides with the failure of the system.
  • The BarlowProschan importance for component is given by the expectation of Birnbaum importance for component using the ^(th) component lifetime distribution.
  • The results are returned in the component order given in the distribution list in rdist or fdist.

ExamplesExamplesopen allclose all

Basic Examples  (3)Basic Examples  (3)

Two components connected in series, with different lifetime distributions:

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The result is given in the same order as the distribution list in ReliabilityDistribution:

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Two components connected in parallel, with different lifetime distributions:

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Use fault tree-based modeling to define the system:

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Introduced in 2012
(9.0)