 |
BUILT-IN MATHEMATICA SYMBOL
RiskReductionImportance
RiskReductionImportance[rdist, t]
gives the risk reduction importances for all components in the ReliabilityDistribution rdist at time t.
RiskReductionImportance[fdist, t]
gives the risk reduction importances for all components in the FailureDistribution fdist at time t.
Details
- RiskReductionImportance is also known as risk reduction worth.
- The risk reduction importance for component
is the factor by which the system unreliability would be decreased if component 
would be perfect. As such, it shows the potential for increase in system reliability by making component 
better. - The risk reduction importance at time t for component
is given by 
, where 
is the probability that the system failed, given that the 
component never fails, 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[11]:= |
The result is given in the same order as the distribution list in ReliabilityDistribution:
| In[12]:= |
| Out[12]= |  |
| In[13]:= |
| Out[13]= |  |
By improving a parallel component, the system reliability can be improved infinitely:
| 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
