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Deterioration state space partitioning method for opportunistic maintenance modelling of identical multi-unit systems

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  • Xiaohong Zhang
  • Jianchao Zeng

Abstract

We propose a deterioration state space partitioning method for opportunistic maintenance modelling of identical multi-unit systems with economic dependence. The proposed method presents a common description and model for multi-unit systems with identical units based on the mutual characteristics of opportunistic maintenance models with different maintenance strategies. In the method, all possible maintenance combinations of general multi-unit systems with a known number of identical units at each maintenance decision point and their corresponding probabilities are deduced on the basis of analysis of the scenarios of multi-unit systems with one, two and three units. Further, we develop a general representation of the stationary law of unit deterioration and its numerical solution. Numerical experiments verify the correctness of our deterioration state space partitioning method and its numerical solution. The proposed method is applicable to both single-unit and multi-unit systems, and provides a new generalised modelling method for maintenance optimisation of multi-unit systems with identical units.

Suggested Citation

  • Xiaohong Zhang & Jianchao Zeng, 2015. "Deterioration state space partitioning method for opportunistic maintenance modelling of identical multi-unit systems," International Journal of Production Research, Taylor & Francis Journals, vol. 53(7), pages 2100-2118, April.
    • Handle: RePEc:taf:tprsxx:v:53:y:2015:i:7:p:2100-2118
    DOI: 10.1080/00207543.2014.965354
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    Cited by:

    1. Liu, Gehui & Chen, Shaokuan & Jin, Hua & Liu, Shuang, 2021. "Optimum opportunistic maintenance schedule incorporating delay time theory with imperfect maintenance," Reliability Engineering and System Safety, Elsevier, vol. 213(C).
    2. Berrade, M.D. & Scarf, P.A. & Cavalcante, C.A.V., 2017. "A study of postponed replacement in a delay time model," Reliability Engineering and System Safety, Elsevier, vol. 168(C), pages 70-79.
    3. Yan, Tao & Lei, Yaguo & Wang, Biao & Han, Tianyu & Si, Xiaosheng & Li, Naipeng, 2020. "Joint maintenance and spare parts inventory optimization for multi-unit systems considering imperfect maintenance actions," Reliability Engineering and System Safety, Elsevier, vol. 202(C).
    4. Zhang, Wenyu & Zhang, Xiaohong & He, Shuguang & Zhao, Xing & He, Zhen, 2024. "Optimal condition-based maintenance policy for multi-component repairable systems with economic dependence in a finite-horizon," Reliability Engineering and System Safety, Elsevier, vol. 241(C).
    5. Nooshin Salari & Viliam Makis, 2020. "Application of Markov renewal theory and semi‐Markov decision processes in maintenance modeling and optimization of multi‐unit systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 67(7), pages 548-558, October.
    6. Truong Ba, H. & Cholette, M.E. & Borghesani, P. & Zhou, Y. & Ma, L., 2017. "Opportunistic maintenance considering non-homogenous opportunity arrivals and stochastic opportunity durations," Reliability Engineering and System Safety, Elsevier, vol. 160(C), pages 151-161.
    7. Zhang, Wenyu & Gan, Jie & He, Shuguang & Li, Ting & He, Zhen, 2024. "An integrated framework of preventive maintenance and task scheduling for repairable multi-unit systems," Reliability Engineering and System Safety, Elsevier, vol. 247(C).
    8. Dao, Cuong D. & Zuo, Ming J., 2017. "Selective maintenance of multi-state systems with structural dependence," Reliability Engineering and System Safety, Elsevier, vol. 159(C), pages 184-195.
    9. 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.

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