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Multi-state systems with selective propagated failures and imperfect individual and group protections

Gregory Levitin, Liudong Xing, Hanoch Ben-Haim and Yuanshun Dai

Reliability Engineering and System Safety, 2011, vol. 96, issue 12, 1657-1666

Abstract: The paper presents an algorithm for evaluating performance distribution of complex series–parallel multi-state systems with propagated failures and imperfect protections. The failure propagation can have a selective effect, which means that the failures originated from different system elements can cause failures of different subsets of elements. Individual elements or some disjoint groups of elements can be protected from propagation of failures originated outside the group. The protections can fail with given probabilities. The suggested algorithm is based on the universal generating function approach and a generalized reliability block diagram method. The performance distribution evaluation procedure is repeated for each combination of propagated failures and protection failures. Both an analytical example and a numerical example are provided to illustrate the suggested algorithm.

Keywords: Common cause failure; Multi-state system; Propagated failure; Protection; Universal generating function; Reliability block diagram (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (12)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:reensy:v:96:y:2011:i:12:p:1657-1666

DOI: 10.1016/j.ress.2011.08.002

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