Dynamic Reliability Evaluation of Consecutive-k-Within-m-Out-of-n:F System
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Date
2011
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Publisher
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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Citation
11
WoS Q
Q4
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Source
Volume
40
Issue
1
Start Page
70
End Page
83