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Multilevel preventive replacement for a system subject to internal deterioration, external shocks, and dynamic missions

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  • Zheng, Rui
  • Xing, Yuan
  • Ren, Xiangyun

Abstract

Mission-oriented systems have received intensive attention for extensive applications. Existing maintenance policies focus mainly on unvarying missions, which is inconsistent with many mission-oriented systems. This paper develops a condition-based replacement model for a mission-oriented system subject to internal deterioration, external shocks, and a sequence of random missions. The deterioration level is revealed by condition monitoring performed at the end of each mission. If it exceeds a critical level, both the system and the previous mission fail, resulting in a corrective replacement cost and a penalty for the failed mission. Otherwise, the decision-maker can decide whether to replace the system preventively. This paper proposes a multilevel preventive replacement policy that involves a set of replacement thresholds corresponding to all mission types. The objective is to determine the optimal set of thresholds to minimize the long-run expected average cost per unit time. The optimization problem is formulated in the Markov decision process framework based on a discretization method. An efficient optimization algorithm combining stochastic dynamic programming and Nelder–Mead search is developed to find the optimal policy. Results from a numerical study confirm the effectiveness of the proposed approach.

Suggested Citation

  • Zheng, Rui & Xing, Yuan & Ren, Xiangyun, 2023. "Multilevel preventive replacement for a system subject to internal deterioration, external shocks, and dynamic missions," Reliability Engineering and System Safety, Elsevier, vol. 239(C).
    • Handle: RePEc:eee:reensy:v:239:y:2023:i:c:s0951832023004210
    DOI: 10.1016/j.ress.2023.109507
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    References listed on IDEAS

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    3. Qin, Xiangyu & Che, Ada & Wu, Bei, 2024. "Modeling coupling impacts of self-healing mechanisms and dynamic environments on systems subject to dependent failure processes," Reliability Engineering and System Safety, Elsevier, vol. 250(C).
    4. Zheng, Rui & Li, Mengmeng & Fang, Chen & Wu, Kai, 2026. "Optimization of an adaptive mission abort policy for a partially observable system," Reliability Engineering and System Safety, Elsevier, vol. 267(PB).
    5. Meng, Yinghao & Qi, Faqun & Liu, Bowen & Yin, Zhen & Ye, Shuwen & Zhang, Haosen, 2025. "Joint optimization of maintenance strategy and buffer capacity for a multi-state buffered serial system considering self-repair actions," Reliability Engineering and System Safety, Elsevier, vol. 262(C).
    6. Zhang, Qin & Fang, Zhigeng, 2025. "Optimal age replacement policies for k-out-of-n systems considering mission durations," Reliability Engineering and System Safety, Elsevier, vol. 254(PB).
    7. Cai, Jiajia & Zhao, Xufeng, 2025. "Optimal replacement policies with repair numbers for mission-oriented systems," Reliability Engineering and System Safety, Elsevier, vol. 262(C).

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