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Optimal stopping problems for mission oriented systems considering time redundancy

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  • Qiu, Qingan
  • Kou, Meng
  • Chen, Ke
  • Deng, Qiao
  • Kang, Fengming
  • Lin, Cong

Abstract

Catastrophic failures of safety-critical systems could result in irretrievable economic losses and damage. To enhance the survivability of safety-critical systems, a mission can be terminated if the failure risk becomes too high. Time redundancy can be commonly observed in many practical systems where missions can be executed multiple times during a constrained time to improve the mission reliability. This paper investigates the optimal mission abort policies for systems with continuous degradation considering two types of time redundancy. Under type I time redundancy, the system should keep operational continuously for a time period greater than a specific value. In the second case, mission success requires that the cumulative working time should be greater than the given value. Dynamic mission abort decisions are considered based on the degradation level and mission attempts. Mission reliability and system survivability are derived under two types of time redundancy. The optimal mission abort threshold in each attempt is investigated to minimize the expected total cost of mission failure and system failure. A case study is presented to illustrate the obtained results.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:reensy:v:205:y:2021:i:c:s0951832020307225
    DOI: 10.1016/j.ress.2020.107226
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    Cited by:

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    3. 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.
    4. Chen, Yuan & Qiu, Qingan & Zhao, Xian, 2022. "Condition-based opportunistic maintenance policies with two-phase inspections for continuous-state systems," Reliability Engineering and System Safety, Elsevier, vol. 228(C).
    5. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2024. "Multi-attempt missions with multiple rescue options," Reliability Engineering and System Safety, Elsevier, vol. 248(C).
    6. 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).
    7. 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).
    8. Yaguang Wu, 2023. "Optimal Stopping and Loading Rules Considering Multiple Attempts and Task Success Criteria," Mathematics, MDPI, vol. 11(4), pages 1-17, February.
    9. Xian Zhao & Rong Li & Yu Fan & Qingan Qiu, 2022. "Reliability modeling for multi-state systems with a protective device considering multiple triggering mechanism," Journal of Risk and Reliability, , vol. 236(1), pages 173-193, February.
    10. Lijun Shang & Guojun Shang & Yongjun Du & Qingan Qiu & Li Yang & Qinglai Dong, 2022. "Post-Warranty Replacement Models for the Product under a Hybrid Warranty," Mathematics, MDPI, vol. 10(10), pages 1-18, May.
    11. 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).
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    13. 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).
    14. Meng, Sa & Xing, Liudong & Levitin, Gregory, 2024. "Optimizing component activation and operation aborting in missions with consecutive attempts and common abort command," Reliability Engineering and System Safety, Elsevier, vol. 243(C).
    15. 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).
    16. 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).
    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).

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