Estimating Failure Probability of a k-out-of-n System Considering Common-Cause Failures

Tetsushi YUGE  Shigeru YANAGI  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E98-A   No.10   pp.2025-2030
Publication Date: 2015/10/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E98.A.2025
Type of Manuscript: Special Section PAPER (Special Section on Recent Developments on Reliability, Maintainability and Dependability)
common-cause failure,  dependent failure,  k-ouf-of-n system,  system failure probability,  

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In this paper we discuss the system failure probability of a k-out-of-n system considering common-cause failures. The conventional implicit technique is first introduced. Then the failure probabilities are formulated when the independence between common-cause failure events is assumed. We also provide algorithms to enumerate all the cut sets and the minimal cut sets, and to calculate the system failure probability. These methods are extendable to the case of systems with non-identical components. We verify the effectiveness of our method by comparison with the exact solution obtained by numerical calculation.