gives the Fussell–Vesely importances for all components in the ReliabilityDistribution rdist at time t.
- 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 allclose all
Basic Examples (3)
The result is given in the same order as the distribution list in ReliabilityDistribution:
ReliabilityDistribution Models (8)
Any valid ReliabilityDistribution can be used:
FailureDistribution Models (8)
FussellVeselyImportance will rank both events as equally important:
Any valid FailureDistribution can be used:
Properties & Relations (6)
FussellVeselyImportance for serial connections can be defined in terms of probability:
All parallel systems have FussellVeselyImportance equal to 1:
CriticalityFailureImportance is always less than or equal to Fussell–Vesely importance:
CriticalityFailureImportance approaches Fussell–Vesely for highly reliable components:
Wolfram Research (2012), FussellVeselyImportance, Wolfram Language function, https://reference.wolfram.com/language/ref/FussellVeselyImportance.html.
Wolfram Language. 2012. "FussellVeselyImportance." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/FussellVeselyImportance.html.
Wolfram Language. (2012). FussellVeselyImportance. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/FussellVeselyImportance.html