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Multi-criteria mission abort policy for systems subject to two-stage degradation process

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  • Zhao, Xian
  • Fan, Yu
  • Qiu, Qingan
  • Chen, Ke

Abstract

Failures of mission-critical systems may result in irretrievable economic losses and significant damages. Mission abort is an effective way to reduce the risk of casualties and enhance the system survivability. A core concern in real operation is how to balance the mission reliability and the system survivability via elaborate mission abort plans. This paper investigates the condition based mission abort policies for systems subject to two-stage degradation process with normal and defective stages. Dynamic mission abort decisions are considered based on the degradation level together with the duration in the defective stage. The degradation control limit and time threshold are both dependent on the duration in the normal stage. Mission reliability and system survivability are derived and the structural properties of the optimal abort thresholds minimizing the expected costs of mission failure and system failure are investigated. In addition, we also compare the optimal policy against several heuristic policies where mission reliability and system survivability are evaluated. Numerical studies are presented to validate the obtained results.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:ejores:v:295:y:2021:i:1:p:233-245
    DOI: 10.1016/j.ejor.2021.02.043
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    References listed on IDEAS

    as
    1. Wu, Xiaoyue & Hillston, Jane, 2015. "Mission reliability of semi-Markov systems under generalized operational time requirements," Reliability Engineering and System Safety, Elsevier, vol. 140(C), pages 122-129.
    2. Cha, Ji Hwan & Finkelstein, Maxim & Levitin, Gregory, 2018. "Optimal mission abort policy for partially repairable heterogeneous systems," European Journal of Operational Research, Elsevier, vol. 271(3), pages 818-825.
    3. Peng, Rui & Zhai, Qingqing & Xing, Liudong & Yang, Jun, 2014. "Reliability of demand-based phased-mission systems subject to fault level coverage," Reliability Engineering and System Safety, Elsevier, vol. 121(C), pages 18-25.
    4. Peng, Rui, 2018. "Joint routing and aborting optimization of cooperative unmanned aerial vehicles," Reliability Engineering and System Safety, Elsevier, vol. 177(C), pages 131-137.
    5. Levitin, Gregory & Finkelstein, Maxim & Dai, Yuanshun, 2020. "Mission abort policy optimization for series systems with overlapping primary and rescue subsystems operating in a random environment," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
    6. Liu, Yu & Chen, Yiming & Jiang, Tao, 2018. "On sequence planning for selective maintenance of multi-state systems under stochastic maintenance durations," European Journal of Operational Research, Elsevier, vol. 268(1), pages 113-127.
    7. Borgonovo, E. & Cappelli, V. & Maccheroni, F. & Marinacci, M., 2018. "Risk analysis and decision theory: A bridge," European Journal of Operational Research, Elsevier, vol. 264(1), pages 280-293.
    8. Stephen Frank & Steffen Rebennack, 2016. "An introduction to optimal power flow: Theory, formulation, and examples," IISE Transactions, Taylor & Francis Journals, vol. 48(12), pages 1172-1197, December.
    9. Wei-an Yan & Bao-wei Song & Gui-lin Duan & Yi-min Shi, 2017. "Real-time reliability evaluation of two-phase Wiener degradation process," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(1), pages 176-188, January.
    10. Levitin, Gregory & Finkelstein, Maxim, 2018. "Optimal mission abort policy for systems in a random environment with variable shock rate," Reliability Engineering and System Safety, Elsevier, vol. 169(C), pages 11-17.
    11. Yu, Haiyue & Wu, Xinyang & Wu, Xiaoyue, 2020. "An extended object-oriented petri net model for mission reliability evaluation of phased-mission system with time redundancy," Reliability Engineering and System Safety, Elsevier, vol. 197(C).
    12. Rui Peng & Qingqinq Zhai & Liudong Xing & Jun Yang, 2016. "Reliability analysis and optimal structure of series-parallel phased-mission systems subject to fault-level coverage," IISE Transactions, Taylor & Francis Journals, vol. 48(8), pages 736-746, August.
    13. Yang, Li & Ye, Zhi-sheng & Lee, Chi-Guhn & Yang, Su-fen & Peng, Rui, 2019. "A two-phase preventive maintenance policy considering imperfect repair and postponed replacement," European Journal of Operational Research, Elsevier, vol. 274(3), pages 966-977.
    14. Yang, Li & Zhao, Yu & Peng, Rui & Ma, Xiaobing, 2018. "Hybrid preventive maintenance of competing failures under random environment," Reliability Engineering and System Safety, Elsevier, vol. 174(C), pages 130-140.
    15. Qiuzhuang Sun & Zhi-Sheng Ye & Xiaoyan Zhu, 2020. "Managing component degradation in series systems for balancing degradation through reallocation and maintenance," IISE Transactions, Taylor & Francis Journals, vol. 52(7), pages 797-810, July.
    16. Dong, Qinglai & Cui, Lirong, 2019. "A study on stochastic degradation process models under different types of failure Thresholds," Reliability Engineering and System Safety, Elsevier, vol. 181(C), pages 202-212.
    17. Levitin, Gregory & Finkelstein, Maxim & Dai, Yuanshun, 2020. "State-based mission abort policies for multistate systems," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
    18. Gregory Levitin & Maxim Finkelstein, 2018. "Optimal Mission Abort Policy for Systems Operating in a Random Environment," Risk Analysis, John Wiley & Sons, vol. 38(4), pages 795-803, April.
    19. Olde Keizer, Minou C.A. & Flapper, Simme Douwe P. & Teunter, Ruud H., 2017. "Condition-based maintenance policies for systems with multiple dependent components: A review," European Journal of Operational Research, Elsevier, vol. 261(2), pages 405-420.
    20. 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.
    21. Liu, Yu & Chen, Yiming & Jiang, Tao, 2020. "Dynamic selective maintenance optimization for multi-state systems over a finite horizon: A deep reinforcement learning approach," European Journal of Operational Research, Elsevier, vol. 283(1), pages 166-181.
    22. Levitin, Gregory & Finkelstein, Maxim & Huang, Hong-Zong, 2020. "Optimal mission abort policies for multistate systems," Reliability Engineering and System Safety, Elsevier, vol. 193(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. 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).
    25. Gao, Hongda & Cui, Lirong & Qiu, Qingan, 2019. "Reliability modeling for degradation-shock dependence systems with multiple species of shocks," Reliability Engineering and System Safety, Elsevier, vol. 185(C), pages 133-143.
    26. Scarf, P.A. & Cavalcante, C.A.V. & Lopes, R.S., 2019. "Delay-time modelling of a critical system subject to random inspections," European Journal of Operational Research, Elsevier, vol. 278(3), pages 772-782.
    27. Qiu, Qingan & Cui, Lirong, 2019. "Gamma process based optimal mission abort policy," Reliability Engineering and System Safety, Elsevier, vol. 190(C), pages 1-1.
    28. 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).
    29. Peng, R. & Levitin, G. & Xie, M. & Ng, S.H., 2010. "Defending simple series and parallel systems with imperfect false targets," Reliability Engineering and System Safety, Elsevier, vol. 95(6), pages 679-688.
    30. Qiu, Qingan & Cui, Lirong & Wu, Bei, 2020. "Dynamic mission abort policy for systems operating in a controllable environment with self-healing mechanism," Reliability Engineering and System Safety, Elsevier, vol. 203(C).
    31. Qiu, Qingan & Cui, Lirong, 2019. "Optimal mission abort policy for systems subject to random shocks based on virtual age process," Reliability Engineering and System Safety, Elsevier, vol. 189(C), pages 11-20.
    32. Levitin, Gregory & Xing, Liudong & Luo, Liang, 2019. "Influence of failure propagation on mission abort policy in heterogeneous warm standby systems," Reliability Engineering and System Safety, Elsevier, vol. 183(C), pages 29-38.
    33. 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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