On reliability analysis of a k-out-of-n system with components having random weights

Serkan Eryilmaz

Reliability Engineering and System Safety, 2013, vol. 109, issue C, 41-44

Abstract: Consider a system consisting of n components each with its own positive integer-valued random weight (capacity). The system is assumed to have a performance level above c if there are at least k working components, and the total weight of all working components is above c. We study the reliability properties of such a system. A recursive formula is obtained for computing the system state probabilities. We present a Monte-Carlo simulation algorithm to observe the time spent by the system in state c or above. The algorithm is based on the use of ordered lifetimes of components. We illustrate the results with numerical computations.

Keywords: k-Out-of-n system; Monte-Carlo simulation; System with weighted components; Order statistics (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (9)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:reensy:v:109:y:2013:i:c:p:41-44

DOI: 10.1016/j.ress.2012.07.010

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