Salehi, E. T.Asadi, M.Eryilmaz, S.Industrial Engineering2024-07-052024-07-0520110378-375810.1016/j.jspi.2011.03.0142-s2.0-79954622964https://doi.org/10.1016/j.jspi.2011.03.014https://hdl.handle.net/20.500.14411/1350Salehi, Ebrahim/0000-0002-3874-0106; Eryilmaz, Serkan/0000-0002-2108-1781In 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.eninfo:eu-repo/semantics/closedAccessOrder statisticsResidual lifetimeReliabilityReliability importanceArticleQ4141829202932WOS:00029106740003422