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

✍ Scribed by Serkan Eryilmaz; Cihangir Kan; Fatih Akici

Publisher: John Wiley and Sons
Year: 2009
Tongue: English
Weight: 101 KB
Volume: 56
Category: Article
ISSN: 0894-069X
DOI: 10.1002/nav.20354

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✦ Synopsis

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

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