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

Rui Zheng, Yuan Xing and Xiangyun Ren

Reliability Engineering and System Safety, 2023, vol. 239, issue C

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.

Keywords: Maintenance; Mission-oriented system; Markov decision process; Dynamic programming (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:reensy:v:239:y:2023:i:c:s0951832023004210

DOI: 10.1016/j.ress.2023.109507

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