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Reliability
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RiskAchievementImportance
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:
| In[10]:= |
The result is given in the same order as the distribution list in ReliabilityDistribution:
| In[13]:= |
| Out[13]= |
| In[15]:= |
| Out[15]= | ![]() |
Two components connected in parallel, with different lifetime distributions:
| In[1]:= |
| In[2]:= |
| Out[2]= |
Use fault tree-based modeling to define the system:
| In[1]:= |
| In[2]:= |
| Out[2]= |
| In[3]:= |
| Out[3]= | ![]() |
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