BarlowProschanImportance

BarlowProschanImportance[rdist]

gives the BarlowProschan importances for all components in the ReliabilityDistribution rdist.

BarlowProschanImportance[fdist]

gives the BarlowProschan importances for all components in the FailureDistribution fdist.

Details

  • The BarlowProschan importance for component is the probability that the failure of component coincides with the failure of the system.
  • The BarlowProschan importance for component is given by the expectation of Birnbaum importance for component using the ^(th) component lifetime distribution.
  • 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 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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Scope  (16)

Applications  (2)

Properties & Relations  (3)

See Also

ReliabilityDistribution  FailureDistribution  StructuralImportance  BirnbaumImportance  RiskReductionImportance  RiskAchievementImportance  CriticalityFailureImportance  CriticalitySuccessImportance  FussellVeselyImportance  ImprovementImportance

Introduced in 2012
(9.0)