BUILT-IN MATHEMATICA SYMBOL

# RiskAchievementImportance

RiskAchievementImportance[rdist, t]
gives the risk achievement importances for all components in the ReliabilityDistribution rdist at time t.

RiskAchievementImportance[fdist, t]
gives the risk achievement importances for all components in the FailureDistribution fdist at time t.

## DetailsDetails

• RiskAchievementImportance is also known as risk achievement worth.
• The risk achievement importance at time t for component is given by where is the probability that the system failed given that the component has failed and is the probability that the system has failed.
• The results are returned in the component order given in the distribution list in rdist or fdist.

## 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[13]=
 Out[15]=

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 (4)Properties & Relations (4)

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