Bounds for coherent reliability structures

M. V. Koutras, S. G. Papastavridis and K. I. Petakos

Statistics & Probability Letters, 1996, vol. 26, issue 3, 285-292

Abstract: Esary and Proschan (1963) proposed a lower bound (resp. upper bound) for the reliability of a general coherent system, which was expressed via system's minimal cut (resp. path) sets. In this article we provide a lower bound based on the minimal path sets and an upper bound based on the minimal cut sets. These bounds, which include as a special case the bounds derived recently by Fu and Koutras (1994b), are subsequently used for the efficient reliability approximation of various coherent structures.

Keywords: Coherent; structures; Reliability; bounds; Cut; sets; Path; sets; Association (search for similar items in EconPapers)
Date: 1996
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Citations: View citations in EconPapers (1)

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