BUILT-IN MATHEMATICA SYMBOL

# StructuralImportance

StructuralImportance[rdist]
gives the structural importances for all components in the ReliabilityDistribution rdist.

StructuralImportance[fdist]
gives the structural importances for all components in the FailureDistribution fdist.

StructuralImportance[bexpr, {x1, x2, ...}]
gives the structural importance for the components , , ... in the Boolean expression bexpr.

## DetailsDetails

• StructuralImportance is also known as Birnbaum's structural importance.
• The structural importance for component is the fraction of the system states in which component is working, where a failure of component will result in a failure of the system.
• For StructuralImportance[fdist] and StructuralImportance[rdist], the results are returned in the component order given in the distribution list in rdist or fdist.
• For StructuralImportance[bexpr, {x1, x2, ...}], the results are returned in the order .
• StructuralImportance[bexpr, ...] is defined when UnateQ[bexpr] is True.

## ExamplesExamplesopen allclose all

### Basic Examples (4)Basic Examples (4)

Two components connected in series:

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

 Out[2]=

Two components connected in parallel:

 Out[2]=

Use the structure function directly, without lifetime distributions:

 Out[1]=
 Out[2]=

Use fault tree-based modeling to define the system:

 Out[2]=

### Neat Examples (1)Neat Examples (1)

New in 9
New to Mathematica? Find your learning path »
Have a question? Ask support »