Economic design of a circular consecutive-k-out-of-n:F system with (k-1)-step Markov dependence

Won-Young Yun, Gui-Rae Kim and Hisashi Yamamoto

Reliability Engineering and System Safety, 2007, vol. 92, issue 4, 464-478

Abstract: A circular consecutive-k-out-of-n:F system consists of n components arranged along a circular path. The system fails if and only if at least k consecutive components in the system fail. The system reliability, the expected system life, and the expected number of failures are obtained under the assumption that the failure rate of a component depends on the number of consecutive failed components that follow it. A procedure to find the optimal k and a simulation procedure to search the near-optimal k are proposed with illustrative numerical examples. An expected cost per unit time is considered as the objective function to be minimized.

Keywords: Circular consecutive-k-out-of-n:F system; Reliability; (k-1)-Step Markov dependence (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (10)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:reensy:v:92:y:2007:i:4:p:464-478

DOI: 10.1016/j.ress.2005.12.007

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