IEICE TRANSACTIONS on Fundamentals
Estimating Failure Probability of a k-out-of-n System Considering Common-Cause Failures
Summary :
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.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E98-A No.10 pp.2025-2030
- Publication Date
- 2015/10/01
- Publicized
- 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)
- Category
Authors
Tetsushi YUGE
National Defense Academy
Shigeru YANAGI
National Defense Academy
Keyword
Latest Issue
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Tetsushi YUGE, Shigeru YANAGI, "Estimating Failure Probability of a k-out-of-n System Considering Common-Cause Failures" in IEICE TRANSACTIONS on Fundamentals,
vol. E98-A, no. 10, pp. 2025-2030, October 2015, doi: 10.1587/transfun.E98.A.2025.
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.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E98.A.2025/_p
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@ARTICLE{e98-a_10_2025,
author={Tetsushi YUGE, Shigeru YANAGI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Estimating Failure Probability of a k-out-of-n System Considering Common-Cause Failures},
year={2015},
volume={E98-A},
number={10},
pages={2025-2030},
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.},
keywords={},
doi={10.1587/transfun.E98.A.2025},
ISSN={1745-1337},
month={October},}
Copy
TY - JOUR
TI - Estimating Failure Probability of a k-out-of-n System Considering Common-Cause Failures
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2025
EP - 2030
AU - Tetsushi YUGE
AU - Shigeru YANAGI
PY - 2015
DO - 10.1587/transfun.E98.A.2025
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E98-A
IS - 10
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - October 2015
AB - 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.
ER -
English
