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Explicit and implicit methods for probabilistic common-cause failure analysis

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  • Wang, Chaonan
  • Xing, Liudong
  • Levitin, Gregory

Abstract

The occurrence of a probabilistic common-cause failure (PCCF) in a system results in failures of multiple system components with different probabilities. A PCCF can be caused by external shocks or propagated failures originating from some components within the system. This paper proposes an explicit method and an implicit method to analyze the reliability of systems subject to internal or external PCCFs. Both methods can handle any arbitrary types of time-to-failure distributions for the system components. Both of the proposed methods are illustrated through detailed analyses of an example computer system. Applicability and advantages are also discussed and compared for the two methods.

Suggested Citation

  • Wang, Chaonan & Xing, Liudong & Levitin, Gregory, 2014. "Explicit and implicit methods for probabilistic common-cause failure analysis," Reliability Engineering and System Safety, Elsevier, vol. 131(C), pages 175-184.
    • Handle: RePEc:eee:reensy:v:131:y:2014:i:c:p:175-184
    DOI: 10.1016/j.ress.2014.06.024
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    References listed on IDEAS

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    1. L Xing & P Boddu & Y Sun & W Wang, 2010. "Reliability analysis of static and dynamic fault-tolerant systems subject to probabilistic common-cause failures," Journal of Risk and Reliability, , vol. 224(1), pages 43-53, March.
    2. Vyzaite, Gintare & Dunnett, Sarah & Andrews, John, 2006. "Cause–consequence analysis of non-repairable phased missions," Reliability Engineering and System Safety, Elsevier, vol. 91(4), pages 398-406.
    3. Xing, Liudong & Meshkat, Leila & Donohue, Susan K., 2007. "Reliability analysis of hierarchical computer-based systems subject to common-cause failures," Reliability Engineering and System Safety, Elsevier, vol. 92(3), pages 351-359.
    4. Wang, Chaonan & Xing, Liudong & Levitin, Gregory, 2013. "Reliability analysis of multi-trigger binary systems subject to competing failures," Reliability Engineering and System Safety, Elsevier, vol. 111(C), pages 9-17.
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    Cited by:

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    4. Wang, Chaonan & Xing, Liudong & Levitin, Gregory, 2015. "Probabilistic common cause failures in phased-mission systems," Reliability Engineering and System Safety, Elsevier, vol. 144(C), pages 53-60.
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    11. Xisheng Jia & Wenbin Cao & Qiwei Hu, 2019. "Selective maintenance optimization for random phased-mission systems subject to random common cause failures," Journal of Risk and Reliability, , vol. 233(3), pages 379-400, June.
    12. Fan, Mengfei & Zeng, Zhiguo & Zio, Enrico & Kang, Rui & Chen, Ying, 2018. "A stochastic hybrid systems model of common-cause failures of degrading components," Reliability Engineering and System Safety, Elsevier, vol. 172(C), pages 159-170.
    13. Dong Lyu & Shubin Si & Zhiqiang Cai & Liyang Xie, 2020. "Computational method for importance measure of the k-out-of-n system based on stress–strength interference," Journal of Risk and Reliability, , vol. 234(1), pages 27-40, February.

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