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Reliability analysis of consecutive k-out-of-n systems with non-identical components lifetimes
Authors:E.T. Salehi  M. AsadiS. Ery?lmaz
Affiliation:a Department of Statistics, University of Isfahan, 81744 Isfahan, Iran
b Department of Industrial Engineering, Atilim University, 06836, Incek, Ankara, Turkey
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 (nr+1), rn, 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.
Keywords:Order statistics   Residual lifetime   Reliability   Reliability importance
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