Package org.jreliability.importancemeasures

Class Birnbaum<T>

java.lang.Object

org.jreliability.importancemeasures.Birnbaum<T>

Type Parameters:

T - The type of the variables of the BDD of the system

All Implemented Interfaces:

ImportanceMeasure, TimeDependentImportanceMeasure<T>

public class Birnbaum<T>
extends Object
implements TimeDependentImportanceMeasure<T>

The Birnbaum class calculates the Birnbaum Importance for coherent systems. This is done via boolean expression in the CriticalityCalculator using [ABGT17]. As a result, it is equivalent to the importance measure proposed by Zaitseva and Levashenko in [ZL13]. [ABGT17] ( https://doi.org/10.1016/j.ress.2016.12.013 ) [ZL13] ( https://doi.org/10.1134/S000511791302001X )

Field Summary

Fields

Modifier and Type	Field	Description
protected final CriticalityCalculator<T>	critCalc

Constructor Summary

Constructors

Constructor	Description
Birnbaum(BDD<T> bdd, org.apache.commons.collections15.Transformer<T,ReliabilityFunction> transformer)	Returns a Birnbaum calculator for a specific system with its BDD and ReliabilityFunction Transformer.

Method Summary

Modifier and Type	Method	Description
Map<T,Double>	calculate(double time)	Calculates the Birnbaum importances for all components at the specified time.

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Field Details

critCalc

protected final CriticalityCalculator<T> critCalc

Constructor Details

Birnbaum

public Birnbaum(BDD<T> bdd,
 org.apache.commons.collections15.Transformer<T,ReliabilityFunction> transformer)

Returns a Birnbaum calculator for a specific system with its BDD and ReliabilityFunction Transformer.

Parameters:

bdd - The BDD representing the system structure function

transformer - The Transformer used to get the ReliabilityFunction of variables present in the BDD

Method Details

calculate

public Map<T,Double> calculate(double time)

Calculates the Birnbaum importances for all components at the specified time. Uses equation 6 of [ABGT17] to calculate the importance from the failure criticality of the component.

Specified by:

calculate in interface TimeDependentImportanceMeasure<T>

Parameters:

time - Time t at which the Birnbaum importance of all components is calculated. Must be greater than 0, otherwise an IllegalArgumentException is thrown.

Returns:

results Map of components and their respective Birnbaum importance at time t.