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BUILT-IN MATHEMATICA SYMBOL
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 
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.
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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