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BUILT-IN MATHEMATICA SYMBOL
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.
Examplesopen all
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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