IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Online ISSN : 1745-1337
Print ISSN : 0916-8508
Special Section on Recent Developments on Reliability, Maintainability and Dependability
Estimating Failure Probability of a k-out-of-n System Considering Common-Cause Failures
Tetsushi YUGEShigeru YANAGI
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2015 Volume E98.A Issue 10 Pages 2025-2030

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Abstract

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.

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© 2015 The Institute of Electronics, Information and Communication Engineers
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