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.

## DetailsDetails

• 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.

## ExamplesExamplesopen allclose all

### Basic Examples (3)Basic Examples (3)

Two components connected in parallel, with different lifetime distributions:

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

 Out[5]=
 Out[6]=

Both serial components are contributing to a working system:

 Out[2]=

Use fault tree-based modeling to define the system:

 Out[2]=
 Out[3]=

### Properties & Relations (3)Properties & Relations (3)

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