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Multi-state systems with selective propagated failures and imperfect individual and group protections

Author

Listed:
  • Levitin, Gregory
  • Xing, Liudong
  • Ben-Haim, Hanoch
  • Dai, Yuanshun

Abstract

The paper presents an algorithm for evaluating performance distribution of complex series–parallel multi-state systems with propagated failures and imperfect protections. The failure propagation can have a selective effect, which means that the failures originated from different system elements can cause failures of different subsets of elements. Individual elements or some disjoint groups of elements can be protected from propagation of failures originated outside the group. The protections can fail with given probabilities. The suggested algorithm is based on the universal generating function approach and a generalized reliability block diagram method. The performance distribution evaluation procedure is repeated for each combination of propagated failures and protection failures. Both an analytical example and a numerical example are provided to illustrate the suggested algorithm.

Suggested Citation

  • Levitin, Gregory & Xing, Liudong & Ben-Haim, Hanoch & Dai, Yuanshun, 2011. "Multi-state systems with selective propagated failures and imperfect individual and group protections," Reliability Engineering and System Safety, Elsevier, vol. 96(12), pages 1657-1666.
    • Handle: RePEc:eee:reensy:v:96:y:2011:i:12:p:1657-1666
    DOI: 10.1016/j.ress.2011.08.002
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    References listed on IDEAS

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    1. Levitin, Gregory & Xing, Liudong, 2010. "Reliability and performance of multi-state systems with propagated failures having selective effect," Reliability Engineering and System Safety, Elsevier, vol. 95(6), pages 655-661.
    2. Levitin, Gregory, 2007. "Block diagram method for analyzing multi-state systems with uncovered failures," Reliability Engineering and System Safety, Elsevier, vol. 92(6), pages 727-734.
    3. Ramirez-Marquez, Jose E. & Coit, David W., 2007. "Optimization of system reliability in the presence of common cause failures," Reliability Engineering and System Safety, Elsevier, vol. 92(10), pages 1421-1434.
    4. G Levitin & S V Amari, 2008. "Multistate systems with static performance- dependent fault coverage," Journal of Risk and Reliability, , vol. 222(2), pages 95-103, June.
    5. Levitin, Gregory & Amari, Suprasad V., 2008. "Multi-state systems with multi-fault coverage," Reliability Engineering and System Safety, Elsevier, vol. 93(11), pages 1730-1739.
    6. Xing, Liudong & Levitin, Gregory, 2010. "Combinatorial analysis of systems with competing failures subject to failure isolation and propagation effects," Reliability Engineering and System Safety, Elsevier, vol. 95(11), pages 1210-1215.
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    Citations

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    Cited by:

    1. Jafary, Bentolhoda & Fiondella, Lance, 2016. "A universal generating function-based multi-state system performance model subject to correlated failures," Reliability Engineering and System Safety, Elsevier, vol. 152(C), pages 16-27.
    2. Xing, Liudong & Amari, Suprasad V. & Wang, Chaonan, 2012. "Reliability of k-out-of-n systems with phased-mission requirements and imperfect fault coverage," Reliability Engineering and System Safety, Elsevier, vol. 103(C), pages 45-50.
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    5. Dui, Hongyan & Meng, Xueyu & Xiao, Hui & Guo, Jianjun, 2020. "Analysis of the cascading failure for scale-free networks based on a multi-strategy evolutionary game," Reliability Engineering and System Safety, Elsevier, vol. 199(C).
    6. 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.
    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. Li, Ying Yi & Chen, Ying & Yuan, Zeng Hui & Tang, Ning & Kang, Rui, 2017. "Reliability analysis of multi-state systems subject to failure mechanism dependence based on a combination method," Reliability Engineering and System Safety, Elsevier, vol. 166(C), pages 109-123.
    9. Salomon, Julian & Winnewisser, Niklas & Wei, Pengfei & Broggi, Matteo & Beer, Michael, 2021. "Efficient reliability analysis of complex systems in consideration of imprecision," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
    10. Peng, Rui & Mo, Huadong & Xie, Min & Levitin, Gregory, 2013. "Optimal structure of multi-state systems with multi-fault coverage," Reliability Engineering and System Safety, Elsevier, vol. 119(C), pages 18-25.
    11. Wang, Yujie & Xing, Liudong & Levitin, Gregory & Huang, Ning, 2018. "Probabilistic competing failure analysis in phased-mission systems," Reliability Engineering and System Safety, Elsevier, vol. 176(C), pages 37-51.
    12. Liu, Yu & Liu, Qinzhen & Xie, Chaoyang & Wei, Fayuan, 2019. "Reliability assessment for multi-state systems with state transition dependency," Reliability Engineering and System Safety, Elsevier, vol. 188(C), pages 276-288.

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