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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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    References listed on IDEAS

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    1. Jung, Woo Sik, 2015. "A method to improve cutset probability calculation in probabilistic safety assessment of nuclear power plants," Reliability Engineering and System Safety, Elsevier, vol. 134(C), pages 134-142.
    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. Levitin, Gregory & Xing, Liudong & Amari, Suprasad V. & Dai, Yuanshun, 2013. "Reliability of non-repairable phased-mission systems with propagated failures," Reliability Engineering and System Safety, Elsevier, vol. 119(C), pages 218-228.
    4. 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.
    5. Peng, Rui & Zhai, Qingqing & Xing, Liudong & Yang, Jun, 2014. "Reliability of demand-based phased-mission systems subject to fault level coverage," Reliability Engineering and System Safety, Elsevier, vol. 121(C), pages 18-25.
    6. Jung, Woo Sik & Yang, Joon-Eon & Ha, Jaejoo, 2005. "Development of measures to estimate truncation error in fault tree analysis," Reliability Engineering and System Safety, Elsevier, vol. 90(1), pages 30-36.
    7. 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.
    8. 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.
    9. Levitin, Gregory & Xing, Liudong & Yu, Shengji, 2014. "Optimal connecting elements allocation in linear consecutively-connected systems with phased mission and common cause failures," Reliability Engineering and System Safety, Elsevier, vol. 130(C), pages 85-94.
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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. 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.
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    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. 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).
    8. Qiu, Qingan & Cui, Lirong, 2019. "Gamma process based optimal mission abort policy," Reliability Engineering and System Safety, Elsevier, vol. 190(C), pages 1-1.
    9. Du, Shijia & Zeng, Zhiguo & Cui, Lirong & Kang, Rui, 2017. "Reliability analysis of Markov history-dependent repairable systems with neglected failures," Reliability Engineering and System Safety, Elsevier, vol. 159(C), pages 134-142.
    10. Hua Yan & Pu Long Cui & Yi Sheng Wang & Fei Wan & De Li & Bi Xing Li, 2018. "A Hierarchical Reduced Markov Model for Reliability Evaluation of Phased-Mission Systems," Biomedical Journal of Scientific & Technical Research, Biomedical Research Network+, LLC, vol. 11(4), pages 8637-8640, November.
    11. 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).
    12. Wang, Zengkai & Zeng, Shengkui & Guo, Jianbin & Che, Haiyang, 2021. "A Bayesian network for reliability assessment of man-machine phased-mission system considering the phase dependencies of human cognitive error," Reliability Engineering and System Safety, Elsevier, vol. 207(C).
    13. 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.
    14. 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).
    15. 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).
    16. 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.
    17. Yan, Rui & Zhu, Xiaoping & Zhu, Xiaoning & Peng, Rui, 2023. "Joint optimisation of task abortions and routes of truck-and-drone systems under random attacks," Reliability Engineering and System Safety, Elsevier, vol. 235(C).
    18. Qiu, Qingan & Cui, Lirong, 2019. "Optimal mission abort policy for systems subject to random shocks based on virtual age process," Reliability Engineering and System Safety, Elsevier, vol. 189(C), pages 11-20.

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