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.

DetailsDetails

• 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.

ExamplesExamplesopen allclose all

Basic Examples (3)Basic Examples (3)

Two components connected in series, with different lifetime distributions:

The result is given in the same order as the distribution list in ReliabilityDistribution:

 Out[5]=
 Out[6]=

Two components connected in parallel, with different lifetime distributions:

 Out[2]=

Use fault tree-based modeling to define the system:

 Out[2]=
 Out[3]=

Properties & Relations (3)Properties & Relations (3)

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