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Reliability evaluation of generalized phased-mission systems with repairable components

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  • Lu, Ji-Min
  • Wu, Xiao-Yue

Abstract

Existing methodologies for generalized phased-mission system (GPMS) are applicable mainly to non-reparable systems. This paper proposes an analytical approach to evaluate the reliability of phased-mission systems (PMS) considering both combinatorial phase requirements (CPR) and repairable components. The CPR is analyzed by decomposing the overall mission success into the corresponding system behavior in each phase. The system behavior is further decomposed into components' behaviors which can be described by continuous time Markov chains (CTMC). As a result, a large number of redundant states can be excluded from the model, rather than incorporating all states like traditional Markovian approaches do. Therefore, the size of the resulting model does not grow exponentially as the number of components increases. In the case study, the effectiveness and correctness of our approach is demonstrated through the comparison with the traditional CTMC approach.

Suggested Citation

  • Lu, Ji-Min & Wu, Xiao-Yue, 2014. "Reliability evaluation of generalized phased-mission systems with repairable components," Reliability Engineering and System Safety, Elsevier, vol. 121(C), pages 136-145.
    • Handle: RePEc:eee:reensy:v:121:y:2014:i:c:p:136-145
    DOI: 10.1016/j.ress.2013.08.005
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    References listed on IDEAS

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    1. Distefano, Salvatore & Puliafito, Antonio, 2009. "Reliability and availability analysis of dependent–dynamic systems with DRBDs," Reliability Engineering and System Safety, Elsevier, vol. 94(9), pages 1381-1393.
    2. 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.
    3. Chew, S.P. & Dunnett, S.J. & Andrews, J.D., 2008. "Phased mission modelling of systems with maintenance-free operating periods using simulated Petri nets," Reliability Engineering and System Safety, Elsevier, vol. 93(7), pages 980-994.
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    Citations

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    Cited by:

    1. Wu, Xiaoyue & Hillston, Jane, 2015. "Mission reliability of semi-Markov systems under generalized operational time requirements," Reliability Engineering and System Safety, Elsevier, vol. 140(C), pages 122-129.
    2. 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.
    3. Wu, Xinyang & Yu, Haiyue & Balakrishnan, Narayanaswamy, 2022. "Modular model and algebraic phase algorithm for reliability modelling and evaluation of phased-mission systems with conflicting phase redundancy," Reliability Engineering and System Safety, Elsevier, vol. 227(C).
    4. 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.
    5. Wu, Xin-yang & Wu, Xiao-Yue, 2015. "Extended object-oriented Petri net model for mission reliability simulation of repairable PMS with common cause failures," Reliability Engineering and System Safety, Elsevier, vol. 136(C), pages 109-119.
    6. Li, Xiang-Yu & Huang, Hong-Zhong & Li, Yan-Feng & Xiong, Xiaoyan, 2021. "A Markov regenerative process model for phased mission systems under internal degradation and external shocks," Reliability Engineering and System Safety, Elsevier, vol. 215(C).
    7. Li, Xiang-Yu & Xiong, Xiaoyan & Guo, Junyu & Huang, Hong-Zhong & Li, Xiaopeng, 2022. "Reliability assessment of non-repairable multi-state phased mission systems with backup missions," Reliability Engineering and System Safety, Elsevier, vol. 223(C).
    8. Huang, Xianzhen & Aslett, Louis J.M. & Coolen, Frank P.A., 2019. "Reliability analysis of general phased mission systems with a new survival signature," Reliability Engineering and System Safety, Elsevier, vol. 189(C), pages 416-422.
    9. Li, Xiang-Yu & Li, Yan-Feng & Huang, Hong-Zhong, 2020. "Redundancy allocation problem of phased-mission system with non-exponential components and mixed redundancy strategy," Reliability Engineering and System Safety, Elsevier, vol. 199(C).
    10. Yihai He & Changchao Gu & Xiao Han & Jiaming Cui & Zhaoxiang Chen, 2017. "Mission reliability modeling for multi-station manufacturing system based on Quality State Task Network," Journal of Risk and Reliability, , vol. 231(6), pages 701-715, December.
    11. Wang, Wenzhuo & He, Yihai & Liao, Ruoyu & Cai, Yuqi & Zheng, Xin & Zhao, Yu, 2022. "Mission reliability driven functional healthy state modeling approach considering production rhythm and workpiece quality for manufacturing systems," Reliability Engineering and System Safety, Elsevier, vol. 226(C).
    12. Huan Yu & Jun Yang & Yu Zhao, 2018. "Reliability of nonrepairable phased-mission systems with common bus performance sharing," Journal of Risk and Reliability, , vol. 232(6), pages 647-660, December.
    13. Li, Yan & Cui, Lirong & Lin, Cong, 2017. "Modeling and analysis for multi-state systems with discrete-time Markov regime-switching," Reliability Engineering and System Safety, Elsevier, vol. 166(C), pages 41-49.

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