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State-based mission abort policies for multistate systems

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  • Levitin, Gregory
  • Finkelstein, Maxim
  • Dai, Yuanshun

Abstract

Most of the previous research on optimal mission abort policies was devoted to binary systems that can be only in two states, i.e., operable or failure. However, a wide class of engineering systems is characterized by more than one operable state. Thus, it can be reasonable to terminate a mission and initiate a rescue procedure that can save, e.g., costly or safety-critical systems when a system had deteriorated to a certain extent. A system operates in a random environment modeled by a renewal process of shocks. With each shock, the state of a system can deteriorate with certain probabilities that can eventually result in the total failure. The bivariate constrained probability-wise and cost-wise optimization problems are formulated and the necessary relationships for solving them are derived. The detailed illustrative numerical example is discussed.

Suggested Citation

  • Levitin, Gregory & Finkelstein, Maxim & Dai, Yuanshun, 2020. "State-based mission abort policies for multistate systems," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
    • Handle: RePEc:eee:reensy:v:204:y:2020:i:c:s0951832020306232
    DOI: 10.1016/j.ress.2020.107122
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    References listed on IDEAS

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    1. Levitin, Gregory & Xing, Liudong & Xiang, Yanping & Dai, Yuanshun, 2021. "Mixed failure-driven and shock-driven mission aborts in heterogeneous systems with arbitrary structure," Reliability Engineering and System Safety, Elsevier, vol. 212(C).
    2. Yang, Ao & Qiu, Qingan & Zhu, Mingren & Cui, Lirong & Chen, Weilin & Chen, Jianhui, 2022. "Condition-based maintenance strategy for redundant systems with arbitrary structures using improved reinforcement learning," Reliability Engineering and System Safety, Elsevier, vol. 225(C).
    3. Fan, Dongming & Zhang, Aibo & Feng, Qiang & Cai, Baoping & Liu, Yiliu & Ren, Yi, 2021. "Group maintenance optimization of subsea Xmas trees with stochastic dependency," Reliability Engineering and System Safety, Elsevier, vol. 209(C).
    4. Cheng, Guoqing & Shen, Jiayi & Wang, Fang & Li, Ling & Yang, Nan, 2024. "Optimal mission abort policy for a multi-component system with failure interaction," Reliability Engineering and System Safety, Elsevier, vol. 242(C).
    5. Ke Chen & Xian Zhao & Qingan Qiu, 2022. "Optimal Task Abort and Maintenance Policies Considering Time Redundancy," Mathematics, MDPI, vol. 10(9), pages 1-16, April.
    6. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2022. "Mission aborting and system rescue for multi-state systems with arbitrary structure," Reliability Engineering and System Safety, Elsevier, vol. 219(C).
    7. Zhao, Xian & Li, Rong & Cao, Shuai & Qiu, Qingan, 2023. "Joint modeling of loading and mission abort policies for systems operating in dynamic environments," Reliability Engineering and System Safety, Elsevier, vol. 230(C).
    8. Levitin, Gregory & Finkelstein, Maxim & Xiang, Yanping, 2021. "Optimal abort rules for additive multi-attempt missions," Reliability Engineering and System Safety, Elsevier, vol. 205(C).
    9. Liu, Lujie & Yang, Jun & Yan, Bingxin, 2024. "A dynamic mission abort policy for transportation systems with stochastic dependence by deep reinforcement learning," Reliability Engineering and System Safety, Elsevier, vol. 241(C).
    10. Cheng, Guoqing & Li, Ling & Shangguan, Chunxia & Yang, Nan & Jiang, Bo & Tao, Ningrong, 2023. "Optimal joint inspection and mission abort policy for a partially observable system," Reliability Engineering and System Safety, Elsevier, vol. 229(C).
    11. Yaguang Wu & Qingan Qiu, 2022. "Optimal Triggering Policy of Protective Devices Considering Self-Exciting Mechanism of Shocks," Mathematics, MDPI, vol. 10(15), pages 1-18, August.
    12. Zhao, Xian & Sun, Jinglei & Qiu, Qingan & Chen, Ke, 2021. "Optimal inspection and mission abort policies for systems subject to degradation," European Journal of Operational Research, Elsevier, vol. 292(2), pages 610-621.
    13. Levitin, Gregory & Finkelstein, Maxim & Xiang, Yanping, 2021. "Optimal inspections and mission abort policies for multistate systems," Reliability Engineering and System Safety, Elsevier, vol. 214(C).
    14. Zhao, Xian & Wang, Xinlei & Dai, Ying & Qiu, Qingan, 2024. "Joint optimization of loading, mission abort and rescue site selection policies for UAV," Reliability Engineering and System Safety, Elsevier, vol. 244(C).
    15. Liu, Bing & Huang, Hao & Deng, Qiao, 2022. "On optimal condition based task termination policy for phased task systems," Reliability Engineering and System Safety, Elsevier, vol. 221(C).
    16. Zhao, Xian & Chai, Xiaofei & Sun, Jinglei & Qiu, Qingan, 2021. "Joint optimization of mission abort and component switching policies for multistate warm standby systems," Reliability Engineering and System Safety, Elsevier, vol. 212(C).
    17. Zhao, Xian & Fan, Yu & Qiu, Qingan & Chen, Ke, 2021. "Multi-criteria mission abort policy for systems subject to two-stage degradation process," European Journal of Operational Research, Elsevier, vol. 295(1), pages 233-245.
    18. Wang, Xiaoyue & Zhao, Xian & Wu, Congshan & Wang, Siqi, 2022. "Mixed shock model for multi-state weighted k-out-of-n: F systems with degraded resistance against shocks," Reliability Engineering and System Safety, Elsevier, vol. 217(C).
    19. Levitin, Gregory & Finkelstein, Maxim & Xiang, Yanping, 2021. "Optimal mission abort policies for repairable multistate systems performing multi-attempt mission," Reliability Engineering and System Safety, Elsevier, vol. 209(C).

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