CriticalitySuccessImportance

CriticalitySuccessImportance[rdist,t]

gives the criticality success importances for all components in the ReliabilityDistribution rdist at time t.

CriticalitySuccessImportance[fdist,t]

gives the criticality success importances for all components in the FailureDistribution fdist at time t.

Details

  • CriticalitySuccessImportance is also known as criticality importance factor.
  • The criticality success importance for component is the probability that component is the component that contributes to system success, given that the system is working.
  • The criticality success importance at time for component is given by , where is the Birnbaum importance for component , is the probability that the component is working, and is the probability that the system is working.
  • The results are returned in the component order given in the distribution list in rdist or fdist.

Examples

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Basic Examples  (3)

Two components connected in parallel, 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 serial components are contributing to a working system:

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Use fault tree-based modeling to define the system:

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Scope  (17)

Applications  (3)

Properties & Relations  (3)

Introduced in 2012
(9.0)