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Mission abort and rescue for multistate systems operating under the Poisson process of shocks

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

Abstract

The paper discusses mission abort and rescue strategies for multistate systems with different levels of performance. A system operates in a random environment modeled by the non-homogeneous Poisson process of shocks. With each shock, the state of a system stochastically deteriorates gradually moving to the state of a total failure. To prevent this event and to increase a system survival probability, a mission can be aborted and a rescue procedure can be activated. The number of experienced shocks is a decision parameter for the corresponding optimization problem that aims at maximizing the mission success probability subject to providing the desired level of survival probability. A detailed numerical example illustrates our findings.

Suggested Citation

  • Levitin, Gregory & Finkelstein, Maxim & Dai, Yuanshun, 2020. "Mission abort and rescue for multistate systems operating under the Poisson process of shocks," Reliability Engineering and System Safety, Elsevier, vol. 202(C).
    • Handle: RePEc:eee:reensy:v:202:y:2020:i:c:s0951832020305287
    DOI: 10.1016/j.ress.2020.107027
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    References listed on IDEAS

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    12. Levitin, Gregory & Finkelstein, Maxim & Huang, Hong-Zong, 2020. "Optimal mission abort policies for multistate systems," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
    13. Qiu, Qingan & Cui, Lirong, 2019. "Gamma process based optimal mission abort policy," Reliability Engineering and System Safety, Elsevier, vol. 190(C), pages 1-1.
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    16. Levitin, Gregory & Finkelstein, Maxim, 2017. "Effect of element separation in series-parallel systems exposed to random shocks," European Journal of Operational Research, Elsevier, vol. 260(1), pages 305-315.
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    Cited by:

    1. Levitin, Gregory & Finkelstein, Maxim & Dai, Yuanshun, 2020. "State-based mission abort policies for multistate systems," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
    2. Wang, Xiaoyue & Ning, Ru & Zhao, Xian & Wu, Congshan, 2023. "Reliability assessments for two types of balanced systems with multi-state protective devices," Reliability Engineering and System Safety, Elsevier, vol. 229(C).
    3. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2023. "Optimal task sequencing and aborting in multi-attempt multi-task missions with a limited number of attempts," Reliability Engineering and System Safety, Elsevier, vol. 236(C).
    4. Levitin, Gregory & Finkelstein, Maxim & Xiang, Yanping, 2021. "Optimal abort rules for additive multi-attempt missions," Reliability Engineering and System Safety, Elsevier, vol. 205(C).
    5. 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).
    6. 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.
    7. 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).
    8. 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).
    9. Ye, Zhenggeng & Yang, Hui & Cai, Zhiqiang & Si, Shubin & Zhou, Fuli, 2021. "Performance evaluation of serial-parallel manufacturing systems based on the impact of heterogeneous feedstocks on machine degradation," Reliability Engineering and System Safety, Elsevier, vol. 207(C).
    10. Wu, Congshan & Zhao, Xian & Qiu, Qingan & Sun, Jinglei, 2021. "Optimal mission abort policy for k-out-of-n: F balanced systems," Reliability Engineering and System Safety, Elsevier, vol. 208(C).
    11. 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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