On Reliability Analysis of a <i>k</I>-out-of-<i>n< System With Components Having Random Weights
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Date
2013
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Elsevier Sci Ltd
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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. (C) 2012 Elsevier Ltd. All rights reserved.
Description
Eryilmaz, Serkan/0000-0002-2108-1781
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Keywords
k-Out-of-n system, Monte-Carlo simulation, System with weighted components, Order statistics
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Volume
109
Issue
Start Page
41
End Page
44