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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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
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Abstract 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]
AbstractList 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]
Author Kostandyan, Erik E.
Houshyar, Azim
Lamberson, Leonard R.
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SubjectTerms Probability distribution
Random variables
Simulation
Systems analysis
Title TIME TO FAILURE FOR A “K PARALLEL R-OUT-OF-N" SYSTEM
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