ImprovementImportance

ImprovementImportance[rdist,t]

gives the improvement importances for all components in the ReliabilityDistribution rdist at time t.

ImprovementImportance[fdist,t]

gives the improvement importances for all components in the FailureDistribution fdist at time t.

Details

  • ImprovementImportance is also known as improvement potential.
  • The improvement importance of a component is the increase of the SurvivalFunction if is replaced with a perfect component.
  • The improvement importance at time for component is given by , where is the probability that the system is working, given that the ^(th) component never fails, and is the probability that the system is working.
  • The importance results are returned in the component order given in the distribution list in rdist.

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  (17)

Applications  (3)

Properties & Relations  (3)

See Also

ReliabilityDistribution  FailureDistribution  StructuralImportance  BirnbaumImportance  BarlowProschanImportance  RiskReductionImportance  RiskAchievementImportance  CriticalityFailureImportance  CriticalitySuccessImportance  FussellVeselyImportance

Introduced in 2012
(9.0)