Dynamic Reliability Evaluation of Consecutive-K System

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2011

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Taylor & Francis inc

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Abstract

A consecutive k-within-m-out-of-n:F system consists of n linearly ordered components and fails if and only if there are m consecutive components which include among them at least k failed components. This system model generalizes both consecutive k-out-of-n:F and k-out-of-n:F systems. In this article, we study the dynamic reliability properties of consecutive k-within-m-out-of-n:F system consisting of exchangeable dependent components. We also obtain some stochastic ordering results and use them to get simple approximation formulae for the survival function and mean time to failure of this system.

Description

Kan, Cihangir/0000-0002-3642-9509; Eryilmaz, Serkan/0000-0002-2108-1781

Keywords

Consecutive k-out-of-n:F system, Consecutive k-within-m-out-of-n:F system, Exchangeable lifetimes, Failure rate, Mean residual life, Mixtures, Signature, Stochastic ordering

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11

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Q4

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Volume

40

Issue

1

Start Page

70

End Page

83

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