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Article Citation - WoS: 44Citation - Scopus: 53On Reliability Analysis of a k-out-of-n< System With Components Having Random Weights(Elsevier Sci Ltd, 2013) Eryilmaz, SerkanConsider 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.
