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Reliability analysis of large phased-mission systems with repairable components based on success-state sampling

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  • Lu, Ji-Min
  • Wu, Xiao-Yue
  • Liu, Yiliu
  • Ann Lundteigen, Mary

Abstract

In many engineering applications, some phased-mission systems (PMS) may contain a large number of phases and repairable components. Traditional binary decision diagram (BDD) based methods or state-enumeration methods can suffer from the BDD explosion or the state explosion for this kind of PMS. This paper presents a non-simulation method for the reliability analysis of large PMS. In our approach, the system reliability is approximated by the system availability at discrete time. The discrete-time availability is modeled by the sampling of success states, which avoids the BDD explosion as the number of phases increases. Furthermore, BDDs are used to simplify success states, and enable our model to avoid the state-explosion problem. Two real-world PMS are analyzed to illustrate that the time and the storage cost of our approach do not increase exponentially with the number of components and phases in the PMS.

Suggested Citation

  • Lu, Ji-Min & Wu, Xiao-Yue & Liu, Yiliu & Ann Lundteigen, Mary, 2015. "Reliability analysis of large phased-mission systems with repairable components based on success-state sampling," Reliability Engineering and System Safety, Elsevier, vol. 142(C), pages 123-133.
    • Handle: RePEc:eee:reensy:v:142:y:2015:i:c:p:123-133
    DOI: 10.1016/j.ress.2015.05.010
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    8. Xing, Liudong & Levitin, Gregory, 2013. "BDD-based reliability evaluation of phased-mission systems with internal/external common-cause failures," Reliability Engineering and System Safety, Elsevier, vol. 112(C), pages 145-153.
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    Cited by:

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    9. 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.
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    13. 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.
    14. Wang, Guanjun & Peng, Rui & Xing, Liudong, 2018. "Reliability evaluation of unrepairable k-out-of-n: G systems with phased-mission requirements based on record values," Reliability Engineering and System Safety, Elsevier, vol. 178(C), pages 191-197.
    15. Wu, Shengnan & Zhang, Laibin & Barros, Anne & Zheng, Wenpei & Liu, Yiliu, 2018. "Performance analysis for subsea blind shear ram preventers subject to testing strategies," Reliability Engineering and System Safety, Elsevier, vol. 169(C), pages 281-298.
    16. Zhai, Qingqing & Xing, Liudong & Peng, Rui & Yang, Jun, 2018. "Aggregated combinatorial reliability model for non-repairable parallel phased-mission systems," Reliability Engineering and System Safety, Elsevier, vol. 176(C), pages 242-250.
    17. 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.
    18. Zhao, Jiangbin & Si, Shubin & Cai, Zhiqiang & Guo, Peng & Zhu, Wenjin, 2020. "Mission success probability optimization for phased-mission systems with repairable component modules," Reliability Engineering and System Safety, Elsevier, vol. 195(C).

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