CriticalityFailureImportance

CriticalityFailureImportance[rdist, t]
gives the criticality failure importances for all components in the ReliabilityDistribution rdist at time t.

CriticalityFailureImportance[fdist, t]
gives the criticality failure importances for all components in the FailureDistribution fdist at time t.

DetailsDetails

  • CriticalityFailureImportance is also known as failure criticality or criticality importance factor.
  • The criticality failure importance for component is the probability that component has caused system failure, when the system has failed at time .
  • The criticality failure importance at time for component is given by , where is the Birnbaum importance for component , is the probability that the component has failed, and is the probability that the system has failed.
  • 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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Both parallel components are contributing to system failure:

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Use fault tree-based modeling to define the system:

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