Reliability analysis of consecutive k-out-of-n systems with non-identical components lifetimes |
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Authors: | E.T. Salehi M. AsadiS. Ery?lmaz |
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Affiliation: | a Department of Statistics, University of Isfahan, 81744 Isfahan, Iran b Department of Industrial Engineering, Atilim University, 06836, Incek, Ankara, Turkey |
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Abstract: | In recent years, the study of reliability properties of consecutive k-out-of-n systems has attracted a great deal of attention from both theoretical and practical perspectives. In this paper we consider linear and circular consecutive k-out-of-n systems. It is assumed that lifetimes of components of the systems are independent but their probability distributions are non-identical. We study the reliability properties of the residual lifetimes of such systems under the condition that at least (n−r+1), r≤n, components of the system are operating. We also investigate the probability that a specific number of components of the above-mentioned system operate at time t, t>0, under the condition that the system is alive at time t. |
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Keywords: | Order statistics Residual lifetime Reliability Reliability importance |
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