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Review of recent advances in reliability of consecutive k-out-of-n and related systems

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  • S Eryilmaz

Abstract

This paper presents an overview of the research performed on reliability studies of consecutive k -out-of- n and related systems during the last decade. In particular, methods for reliability evaluation, importance and optimal arrangements of components, lifetime distribution, and stochastic orderings of such systems are presented, also research results on related systems are summarized.

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  • S Eryilmaz, 2010. "Review of recent advances in reliability of consecutive k-out-of-n and related systems," Journal of Risk and Reliability, , vol. 224(3), pages 225-237, September.
    • Handle: RePEc:sae:risrel:v:224:y:2010:i:3:p:225-237
    DOI: 10.1243/1748006XJRR332
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    1. Lam, Yeh & Ng, Hon Keung Tony, 2001. "A general model for consecutive-k-out-of-n: F repairable system with exponential distribution and (k-1)-step Markov dependence," European Journal of Operational Research, Elsevier, vol. 129(3), pages 663-682, March.
    2. Francisco J. Samaniego, 2007. "System Signatures and their Applications in Engineering Reliability," International Series in Operations Research and Management Science, Springer, number 978-0-387-71797-5, September.
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    Cited by:

    1. Mohammadi, Fatemeh & Saenz-de-Cabezon, Eduardo & Wynn, Henry P., 2018. "Efficient multicut enumeration of k -out-of- n:F and consecutive k -out-of- n:F systems," LSE Research Online Documents on Economics 86460, London School of Economics and Political Science, LSE Library.
    2. Feng, Geng & Patelli, Edoardo & Beer, Michael & Coolen, Frank P.A., 2016. "Imprecise system reliability and component importance based on survival signature," Reliability Engineering and System Safety, Elsevier, vol. 150(C), pages 116-125.
    3. Patelli, Edoardo & Feng, Geng & Coolen, Frank P.A. & Coolen-Maturi, Tahani, 2017. "Simulation methods for system reliability using the survival signature," Reliability Engineering and System Safety, Elsevier, vol. 167(C), pages 327-337.
    4. Reed, Sean, 2017. "An efficient algorithm for exact computation of system and survival signatures using binary decision diagrams," Reliability Engineering and System Safety, Elsevier, vol. 165(C), pages 257-267.
    5. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2017. "Optimal arrangement of connecting elements in linear consecutively connected systems with heterogeneous warm standby groups," Reliability Engineering and System Safety, Elsevier, vol. 165(C), pages 395-401.
    6. Qiu, Siqi & Sallak, Mohamed & Schön, Walter & Ming, Henry X.G., 2018. "Extended LK heuristics for the optimization of linear consecutive-k-out-of-n: F systems considering parametric uncertainty and model uncertainty," Reliability Engineering and System Safety, Elsevier, vol. 175(C), pages 51-61.

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