TIME TO FAILURE FOR A “K PARALLEL R-OUT-OF-N" SYSTEM

A "k parallel r-out-of-n:F" system is structured with "k" parallel subsystems where each subsystem will function if at least "r" out of "n" components function within each subsystem. The time-to- failure distribution for "k parallel r-out-of-n:F" sys...

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Bibliographic Details
Published inInternational journal of modelling & simulation Vol. 30; no. 4; p. 1
Main Authors Kostandyan, Erik E., Lamberson, Leonard R., Houshyar, Azim
Format Journal Article
LanguageEnglish
Published Calgary Taylor & Francis Ltd 2010
Subjects
Probability distribution
Random variables
Simulation
Systems analysis
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Summary:A "k parallel r-out-of-n:F" system is structured with "k" parallel subsystems where each subsystem will function if at least "r" out of "n" components function within each subsystem. The time-to- failure distribution for "k parallel r-out-of-n:F" systems is developed providing for both the probability density function and cumulative distribution function. This allows one to find any quantile of the time-to-failure distribution to predict when the system should fail for a given probability level. The method is easy to implement using a well-known spreadsheet function for the Beta distribution. [PUBLICATION ABSTRACT]
ISSN:1925-7082
0228-6203
1925-7082
DOI:10.2316/Journal.205.2010.4.205-5453