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BUILT-IN MATHEMATICA SYMBOL
FussellVeselyImportance
FussellVeselyImportance[rdist, t]
gives the Fussell-Vesely importances for all components in the ReliabilityDistribution rdist at time t.
FussellVeselyImportance[fdist, t]
gives the Fussell-Vesely importances for all components in the FailureDistribution fdist at time t.
Details
- The Fussell-Vesely importance at time
for component 
is given by 
where 
is the probability that at least one minimal cut set containing component 
has failed at time 
and 
is the probability that the system has failed at time 
. A minimal cut set is a minimal set of components which, if failed, causes the system to fail. - 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 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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