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Exact combinatorial reliability analysis of dynamic systems with sequence-dependent failures

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  • Xing, Liudong
  • Shrestha, Akhilesh
  • Dai, Yuanshun

Abstract

Many real-life fault-tolerant systems are subjected to sequence-dependent failure behavior, in which the order in which the fault events occur is important to the system reliability. Such systems can be modeled by dynamic fault trees (DFT) with priority-AND (pAND) gates. Existing approaches for the reliability analysis of systems subjected to sequence-dependent failures are typically state-space-based, simulation-based or inclusion–exclusion-based methods. Those methods either suffer from the state-space explosion problem or require long computation time especially when results with high degree of accuracy are desired. In this paper, an analytical method based on sequential binary decision diagrams is proposed. The proposed approach can analyze the exact reliability of non-repairable dynamic systems subjected to the sequence-dependent failure behavior. Also, the proposed approach is combinatorial and is applicable for analyzing systems with any arbitrary component time-to-failure distributions. The application and advantages of the proposed approach are illustrated through analysis of several examples.

Suggested Citation

  • Xing, Liudong & Shrestha, Akhilesh & Dai, Yuanshun, 2011. "Exact combinatorial reliability analysis of dynamic systems with sequence-dependent failures," Reliability Engineering and System Safety, Elsevier, vol. 96(10), pages 1375-1385.
    • Handle: RePEc:eee:reensy:v:96:y:2011:i:10:p:1375-1385
    DOI: 10.1016/j.ress.2011.05.007
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    Cited by:

    1. Haiyue Yu & Xiaoyue Wu, 2021. "A method for transformation from dynamic fault tree to binary decision diagram," Journal of Risk and Reliability, , vol. 235(3), pages 416-430, June.
    2. Ge, Daochuan & Lin, Meng & Yang, Yanhua & Zhang, Ruoxing & Chou, Qiang, 2015. "Quantitative analysis of dynamic fault trees using improved Sequential Binary Decision Diagrams," Reliability Engineering and System Safety, Elsevier, vol. 142(C), pages 289-299.
    3. Chen, Ying & Wang, Ze & Li, YingYi & Kang, Rui & Mosleh, Ali, 2018. "Reliability analysis of a cold-standby system considering the development stages and accumulations of failure mechanisms," Reliability Engineering and System Safety, Elsevier, vol. 180(C), pages 1-12.
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    5. Zaitseva, Elena & Levashenko, Vitaly & Kostolny, Jozef, 2015. "Importance analysis based on logical differential calculus and Binary Decision Diagram," Reliability Engineering and System Safety, Elsevier, vol. 138(C), pages 135-144.
    6. Gascard, Eric & Simeu-Abazi, Zineb, 2018. "Quantitative Analysis of Dynamic Fault Trees by means of Monte Carlo Simulations: Event-Driven Simulation Approach," Reliability Engineering and System Safety, Elsevier, vol. 180(C), pages 487-504.
    7. Chen, Ying & Yang, Liu & Ye, Cui & Kang, Rui, 2015. "Failure mechanism dependence and reliability evaluation of non-repairable system," Reliability Engineering and System Safety, Elsevier, vol. 138(C), pages 273-283.
    8. Daochuan Ge & Ruoxing Zhang & Qiang Chou & Yanhua Yang, 2015. "Probabilistic model–based multi-integration formulas for quantifying a generalized minimal cut sequence," Journal of Risk and Reliability, , vol. 229(1), pages 73-82, February.
    9. Zhou, Siwei & Ye, Luyao & Xiong, Shengwu & Xiang, Jianwen, 2022. "Reliability analysis of dynamic fault trees with Priority-AND gates based on irrelevance coverage model," Reliability Engineering and System Safety, Elsevier, vol. 224(C).
    10. Mohammad Nadjafi & Mohammad Ali Farsi, 2021. "Reliability analysis of system with timing functional dependency using fuzzy-bathtub failure rates," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 12(5), pages 919-930, October.
    11. Daochuan Ge & Meng Lin & Yanhua Yang & Ruoxing Zhang & Qiang Chou, 2015. "Reliability analysis of complex dynamic fault trees based on an adapted K.D. Heidtmann algorithm," Journal of Risk and Reliability, , vol. 229(6), pages 576-586, December.
    12. Jia, Xujie & Shen, Jingyuan & Xu, Fanqi & Ma, Ruihong & Song, Xueying, 2019. "Modular decomposition signature for systems with sequential failure effect," Reliability Engineering and System Safety, Elsevier, vol. 189(C), pages 435-444.

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