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Optimal aborting rule in multi-attempt missions performed by multicomponent systems

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  • Levitin, Gregory
  • Finkelstein, Maxim
  • Xiang, Yanping

Abstract

When the risk of a system's failure during a mission increases with time, it may be reasonable to abort a mission and to attempt it again after the corresponding rescue procedures. This risk can increase with time either when a system's lifetime is characterized by the increasing failure rate, or due to a hostile environment. In this paper, a random environment is modeled by the point process of shocks. Each shock increases the failure probability, thus exhibiting the aging effect. We generalize some recent results reported in the literature to the multi-attempt case when each of statistically identical system's components can independently complete a mission. The corresponding probabilistic model is developed and the tradeoff between a mission success probability and the expected number of lost components is discussed. The problem of minimization of the overall expected operational losses is formulated. Different types of abort policies have been compared in the detailed illustrative example. It was shown that the smallest expected operational losses can be achieved when the mission abort rule depends on the number of an attempt and on the number of components starting this attempt.

Suggested Citation

  • Levitin, Gregory & Finkelstein, Maxim & Xiang, Yanping, 2020. "Optimal aborting rule in multi-attempt missions performed by multicomponent systems," European Journal of Operational Research, Elsevier, vol. 283(1), pages 244-252.
    • Handle: RePEc:eee:ejores:v:283:y:2020:i:1:p:244-252
    DOI: 10.1016/j.ejor.2019.10.042
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    References listed on IDEAS

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    13. Levitin, Gregory & Finkelstein, Maxim & Dai, Yuanshun, 2018. "Mission abort policy balancing the uncompleted mission penalty and system loss risk," Reliability Engineering and System Safety, Elsevier, vol. 176(C), pages 194-201.
    14. 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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    20. Gregory Levitin & Maxim Finkelstein & Hong‐Zhong Huang, 2019. "Optimal Abort Rules for Multiattempt Missions," Risk Analysis, John Wiley & Sons, vol. 39(12), pages 2732-2743, December.
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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. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2023. "Optimal aborting policy for shock exposed missions with random rescue time," Reliability Engineering and System Safety, Elsevier, vol. 233(C).
    3. Qiu, Qingan & Kou, Meng & Chen, Ke & Deng, Qiao & Kang, Fengming & Lin, Cong, 2021. "Optimal stopping problems for mission oriented systems considering time redundancy," Reliability Engineering and System Safety, Elsevier, vol. 205(C).
    4. Levitin, Gregory & Finkelstein, Maxim & Xiang, Yanping, 2021. "Optimal aborting strategy for three-phase missions performed by multiple units," Reliability Engineering and System Safety, Elsevier, vol. 208(C).
    5. Kangye Tan & Weihua Liu & Fang Xu & Chunsheng Li, 2023. "Optimization Model and Algorithm of Logistics Vehicle Routing Problem under Major Emergency," Mathematics, MDPI, vol. 11(5), pages 1-18, March.
    6. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2024. "Optimal task aborting and sequencing in time constrained multi-task multi-attempt missions," Reliability Engineering and System Safety, Elsevier, vol. 241(C).
    7. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2022. "Using kamikaze components in multi-attempt missions with abort option," Reliability Engineering and System Safety, Elsevier, vol. 227(C).
    8. 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.
    9. Zhao, Xian & Chai, Xiaofei & Sun, Jinglei & Qiu, Qingan, 2021. "Optimal bivariate mission abort policy for systems operate in random shock environment," Reliability Engineering and System Safety, Elsevier, vol. 205(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. Yan, Rui & Zhu, Xiaoping & Zhu, Xiaoning & Peng, Rui, 2022. "Optimal routes and aborting strategies of trucks and drones under random attacks," Reliability Engineering and System Safety, Elsevier, vol. 222(C).
    12. 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).
    13. 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).
    14. Zhao, Xian & Lv, Zuheng & Qiu, Qingan & Wu, Yaguang, 2023. "Designing two-level rescue depot location and dynamic rescue policies for unmanned vehicles," Reliability Engineering and System Safety, Elsevier, vol. 233(C).
    15. Zheng, Rui & Zhao, Xufeng & Hu, Chaoming & Ren, Xiangyun, 2023. "A repair-replacement policy for a system subject to missions of random types and random durations," Reliability Engineering and System Safety, Elsevier, vol. 232(C).
    16. Liu, Lujie & Yang, Jun, 2023. "A dynamic mission abort policy for the swarm executing missions and its solution method by tailored deep reinforcement learning," Reliability Engineering and System Safety, Elsevier, vol. 234(C).
    17. Zhao, Xian & Dai, Ying & Qiu, Qingan & Wu, Yaguang, 2022. "Joint optimization of mission aborts and allocation of standby components considering mission loss," Reliability Engineering and System Safety, Elsevier, vol. 225(C).
    18. Xiaofei Chai & Boyu Chen & Xian Zhao, 2023. "Optimal Mission Abort Decisions for Multi-Component Systems Considering Multiple Abort Criteria," Mathematics, MDPI, vol. 11(24), pages 1-12, December.
    19. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2022. "Optimal mission aborting in multistate systems with storage," Reliability Engineering and System Safety, Elsevier, vol. 218(PA).
    20. Levitin, Gregory & Finkelstein, Maxim & Xiang, Yanping, 2021. "Optimal abort rules for additive multi-attempt missions," Reliability Engineering and System Safety, Elsevier, vol. 205(C).
    21. 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).
    22. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2021. "Dynamic task distribution balancing primary mission work and damage reduction work in parallel systems exposed to shocks," Reliability Engineering and System Safety, Elsevier, vol. 215(C).
    23. 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).
    24. Gregory Levitin & Liudong Xing & Yuanshun Dai, 2020. "Mission Abort Policy for Systems with Observable States of Standby Components," Risk Analysis, John Wiley & Sons, vol. 40(10), pages 1900-1912, October.

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