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Article Citation - WoS: 20Citation - Scopus: 28Reliability Analysis of Consecutive k-out-of-n< Systems With Non-Identical Components Lifetimes(Elsevier Science Bv, 2011) Salehi, E. T.; Asadi, M.; Eryilmaz, S.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. (C) 2011 Elsevier B.V. All rights reserved.
