gives the improvement importances for all components in the ReliabilityDistribution rdist at time t.
- ImprovementImportance is also known as improvement potential.
- The improvement importance of a component is the increase of the SurvivalFunction if is replaced with a perfect component.
- The improvement importance at time for component is given by , where is the probability that the system is working, given that the component never fails, and is the probability that the system is working.
- The importance results are returned in the component order given in the distribution list in rdist.
Examplesopen allclose all
Basic Examples (3)
The result is given in the same order as the distribution list in ReliabilityDistribution:
ReliabilityDistribution Models (9)
Any valid ReliabilityDistribution can be used:
FailureDistribution Models (8)
Any valid FailureDistribution can be used:
Properties & Relations (3)
Compute BirnbaumImportance for all components:
Wolfram Research (2012), ImprovementImportance, Wolfram Language function, https://reference.wolfram.com/language/ref/ImprovementImportance.html.
Wolfram Language. 2012. "ImprovementImportance." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/ImprovementImportance.html.
Wolfram Language. (2012). ImprovementImportance. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/ImprovementImportance.html