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Optimal mission aborting in multistate systems with storage

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  • Levitin, Gregory
  • Xing, Liudong
  • Dai, Yuanshun

Abstract

Though intensive research efforts have been devoted to the study of mission aborting rules (MARs) for diverse types of systems, no previous work has discussed this problem for systems with product storage. This paper contributes by modeling and optimizing MARs for multistate systems with product storage, which may accumulate surplus product when the system performance surpasses the required demand and compensate product deficiency otherwise. The storage has limited capacity, uploading performance, and downloading performance. The system state may deteriorate due to random shocks, which have different severity and inter-arrival time distributions during primary mission (PM) and rescue procedure (RP). We put forward a numerical algorithm to evaluate the mission success probability (MSP) and damage avoidance probability (DAP) of the considered system with specified PM and RP demands and durations. Based on the MSP and DAP evaluation, we make a further contribution by formulating and solving a constrained optimization problem that finds the optimal MAR maximizing the MSP while meeting a desired level of DAP. Using a power system example, we also investigate influences of storage capacity, storage uploading/downloading performance constraints, and desired DAP level on the system performance metrics and on the MAR optimization solutions.

Suggested Citation

  • Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2022. "Optimal mission aborting in multistate systems with storage," Reliability Engineering and System Safety, Elsevier, vol. 218(PA).
    • Handle: RePEc:eee:reensy:v:218:y:2022:i:pa:s0951832021005846
    DOI: 10.1016/j.ress.2021.108086
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    Cited by:

    1. 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).
    2. Zhou, Yu & Kou, Gang & Guo, Zhen-Zhu & Xiao, Hui, 2023. "Availability analysis of shared bikes using abnormal trip data," Reliability Engineering and System Safety, Elsevier, vol. 229(C).
    3. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2022. "Optimal sequencing of elements activation in 1-out-of-n warm standby system with storage," Reliability Engineering and System Safety, Elsevier, vol. 221(C).
    4. 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.
    5. 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).
    6. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2023. "Optimizing uploading and downloading pace distribution in system with two non-identical storage units," Reliability Engineering and System Safety, Elsevier, vol. 231(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. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2024. "Consecutively connected systems with unreliable resource generators and storages," Reliability Engineering and System Safety, Elsevier, vol. 241(C).
    9. 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).
    10. Zhao, Xian & Liu, Haoran & Wu, Yaguang & Qiu, Qingan, 2023. "Joint optimization of mission abort and system structure considering dynamic tasks," Reliability Engineering and System Safety, Elsevier, vol. 234(C).
    11. 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).
    12. Yaguang Wu, 2023. "Optimal Stopping and Loading Rules Considering Multiple Attempts and Task Success Criteria," Mathematics, MDPI, vol. 11(4), pages 1-17, February.
    13. 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).
    14. 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).
    15. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2022. "Loading policy minimizing cumulative unsupplied demand of production system with storage," Reliability Engineering and System Safety, Elsevier, vol. 228(C).
    16. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2022. "Optimizing the maximum filling level of perfect storage in system with imperfect production unit," Reliability Engineering and System Safety, Elsevier, vol. 225(C).
    17. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2022. "Minimizing mission cost for production system with unreliable storage," Reliability Engineering and System Safety, Elsevier, vol. 227(C).
    18. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2022. "Unrepairable system with single production unit and n failure-prone identical parallel storage units," Reliability Engineering and System Safety, Elsevier, vol. 222(C).
    19. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2022. "Unrepairable system with consecutively used imperfect storage units," Reliability Engineering and System Safety, Elsevier, vol. 225(C).

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