Consecutive k‐within‐m‐out‐of‐n:F system with exchangeable components

Serkan Eryilmaz, Cihangir Kan and Fatih Akici

Naval Research Logistics (NRL), 2009, vol. 56, issue 6, 503-510

Abstract: As a generalization of k‐out‐of‐n:F and consecutive k‐out‐of‐n:F systems, the consecutive k‐within‐m‐out‐of‐n:F system consists of n linearly ordered components such that the system fails iff there are m consecutive components which include among them at least k failed components. In this article, the reliability properties of consecutive k‐within‐m‐out‐of‐n:F systems with exchangeable components are studied. The bounds and approximations for the survival function are provided. A Monte Carlo estimator of system signature is obtained and used to approximate survival function. The results are illustrated and numerics are provided for an exchangeable multivariate Pareto distribution. © 2009 Wiley Periodicals, Inc. Naval Research Logistics 2009

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:wly:navres:v:56:y:2009:i:6:p:503-510

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