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Probabilistic common cause failures in phased-mission systems

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

Abstract

Probabilistic common cause failures (PCCFs) in a system are failures of multiple system components with the same or different probabilities due to a shared root cause or shock. They can contribute greatly to the overall system failure probability. Therefore, it is significant to incorporate effects of PCCFs into system reliability analysis. To the best of our knowledge, no research has been done on the reliability analysis of phased-mission systems (PMSs) subject to PCCFs. In this paper, we propose an explicit method and an implicit method to analyze reliability of PMSs with PCCFs caused by external shocks. Both methods are illustrated through detailed analyses of a wireless sensor network example. Both space and computational complexities as well as advantages are discussed and compared for the two proposed methods.

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  • 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.
    • Handle: RePEc:eee:reensy:v:144:y:2015:i:c:p:53-60
    DOI: 10.1016/j.ress.2015.07.004
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    Cited by:

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    2. Gregory Levitin & Maxim Finkelstein, 2018. "Optimal mission abort policy with multiple shock number thresholds," Journal of Risk and Reliability, , vol. 232(6), pages 607-615, December.
    3. Levitin, Gregory & Xing, Liudong & Xiang, Yanping, 2021. "Optimizing preventive replacement schedule in standby systems with time consuming task transfers," Reliability Engineering and System Safety, Elsevier, vol. 205(C).
    4. Levitin, Gregory & Finkelstein, Maxim & Dai, Yuanshun, 2020. "Mission abort policy optimization for series systems with overlapping primary and rescue subsystems operating in a random environment," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
    5. Yu, Haiyue & Wu, Xinyang & Wu, Xiaoyue, 2020. "An extended object-oriented petri net model for mission reliability evaluation of phased-mission system with time redundancy," Reliability Engineering and System Safety, Elsevier, vol. 197(C).
    6. Peng, Rui & Wu, Di & Xiao, Hui & Xing, Liudong & Gao, Kaiye, 2019. "Redundancy versus protection for a non-reparable phased-mission system subject to external impacts," Reliability Engineering and System Safety, Elsevier, vol. 191(C).
    7. Xu, Yue & Pi, Dechang & Yang, Shengxiang & Chen, Yang, 2021. "A novel discrete bat algorithm for heterogeneous redundancy allocation of multi-state systems subject to probabilistic common-cause failure," Reliability Engineering and System Safety, Elsevier, vol. 208(C).
    8. Cheng, Chen & Yang, Jun & Li, Lei, 2021. "Reliability evaluation of a k-out-of-n(G)-subsystem based multi-state phased mission system with common bus performance sharing subjected to common cause failures," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
    9. Park, Jae-Hyun, 2017. "Time-dependent reliability of wireless networks with dependent failures," Reliability Engineering and System Safety, Elsevier, vol. 165(C), pages 47-61.
    10. Levitin, Gregory & Finkelstein, Maxim & Xiang, Yanping, 2020. "Optimal aborting rule in multi-attempt missions performed by multicomponent systems," European Journal of Operational Research, Elsevier, vol. 283(1), pages 244-252.
    11. Chen, Ying & Li, YingYi & Kang, Rui & Ali, Mosleh, 2020. "Reliability analysis of PMS with failure mechanism accumulation rules and a hierarchical method," Reliability Engineering and System Safety, Elsevier, vol. 197(C).
    12. Song, Yufei & Mi, Jinhua & Cheng, Yuhua & Bai, Libing & Chen, Kai, 2020. "A dependency bounds analysis method for reliability assessment of complex system with hybrid uncertainty," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
    13. Sharp, Alanna & Andrade, Jose & Ruffini, Nicholas, 2019. "Design for reliability for the high reliability fuze," Reliability Engineering and System Safety, Elsevier, vol. 181(C), pages 54-61.
    14. 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.
    15. Wang, Chaonan & Xing, Liudong & Peng, Rui & Pan, Zhusheng, 2017. "Competing failure analysis in phased-mission systems with multiple functional dependence groups," Reliability Engineering and System Safety, Elsevier, vol. 164(C), pages 24-33.
    16. Peng Su & Guanjun Wang, 2022. "Reliability analysis of network systems subject to probabilistic propagation failures and failure isolation effects," Journal of Risk and Reliability, , vol. 236(2), pages 290-306, April.
    17. Levitin, Gregory & Finkelstein, Maxim & Xiang, Yanping, 2020. "Optimal abort rules and subtask distribution in missions performed by multiple independent heterogeneous units," Reliability Engineering and System Safety, Elsevier, vol. 199(C).
    18. Cheng, Chen & Yang, Jun & Li, Lei, 2020. "Reliability assessment of multi-state phased mission systems with common bus performance sharing considering transmission loss and performance storage," Reliability Engineering and System Safety, Elsevier, vol. 199(C).
    19. Levitin, Gregory & Finkelstein, Maxim, 2018. "Optimal mission abort policy for systems in a random environment with variable shock rate," Reliability Engineering and System Safety, Elsevier, vol. 169(C), pages 11-17.
    20. Levitin, Gregory & Finkelstein, Maxim & Dai, Yuanshun, 2017. "Redundancy optimization for series-parallel phased mission systems exposed to random shocks," Reliability Engineering and System Safety, Elsevier, vol. 167(C), pages 554-560.

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