 |
BUILT-IN MATHEMATICA SYMBOL
CriticalityFailureImportance
CriticalityFailureImportance[rdist, t]
gives the criticality failure importances for all components in the ReliabilityDistribution rdist at time t.
CriticalityFailureImportance[fdist, t]
gives the criticality failure importances for all components in the FailureDistribution fdist at time t.
Details
- CriticalityFailureImportance is also known as failure criticality or criticality importance factor.
- The criticality failure importance for component
is the probability that component 
has caused system failure, when the system has failed at time 
. - The criticality failure importance at time
for component 
is given by 
, where 
is the Birnbaum importance for component 
, 
is the probability 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.
Examplesopen all
Basic Examples (3)
Two components connected in series, with different lifetime distributions:
| In[7]:= |
The result is given in the same order as the distribution list in ReliabilityDistribution:
| In[8]:= |
| Out[8]= |  |
| In[9]:= |
| Out[9]= |  |
Both parallel components are contributing to system failure:
| 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]= |  |
New in 9
