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A multi-stage stochastic programming model for multi-mission selective maintenance optimization

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  • Ghorbani, Milad
  • Nourelfath, Mustapha
  • Gendreau, Michel

Abstract

This research introduces a novel selective maintenance model in the case of systems undergoing multiple consecutive missions. The model considers uncertainties related to future operating conditions during each mission. Within each maintenance break, various optional actions ranging from replacements which are perfect to imperfect and also minimal repairs can be chosen for individual components. Evaluating the probabilities of successful future mission accounts for uncertainties associated with component operational conditions. The selective maintenance problem is formulated as a nonlinear mixed-integer model for optimization, and computational challenges are addressed using the progressive hedging algorithm. Numerical examples validate the new proposed model and illustrate the benefits of the model by estimating a more realistic reliability level and lower maintenance cost.

Suggested Citation

  • Ghorbani, Milad & Nourelfath, Mustapha & Gendreau, Michel, 2025. "A multi-stage stochastic programming model for multi-mission selective maintenance optimization," Reliability Engineering and System Safety, Elsevier, vol. 254(PA).
    • Handle: RePEc:eee:reensy:v:254:y:2025:i:pa:s0951832024006239
    DOI: 10.1016/j.ress.2024.110551
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    References listed on IDEAS

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    1. Alaswad, Suzan & Xiang, Yisha, 2017. "A review on condition-based maintenance optimization models for stochastically deteriorating system," Reliability Engineering and System Safety, Elsevier, vol. 157(C), pages 54-63.
    2. Zhao, Xufeng & Al-Khalifa, Khalifa N. & Magid Hamouda, Abdel & Nakagawa, Toshio, 2017. "Age replacement models: A summary with new perspectives and methods," Reliability Engineering and System Safety, Elsevier, vol. 161(C), pages 95-105.
    3. 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.
    4. Jitka Dupačová & Giorgio Consigli & Stein Wallace, 2000. "Scenarios for Multistage Stochastic Programs," Annals of Operations Research, Springer, vol. 100(1), pages 25-53, December.
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    Cited by:

    1. Zhao, Xian & Lv, Zuheng & Qiu, Qingan & Wu, Yaguang, 2025. "Optimal mission abort and selective replacement policies for multi-state systems," Reliability Engineering and System Safety, Elsevier, vol. 264(PA).
    2. Hosseini, Seyede Ome Kolsoom & Rastegar, Mohammad & Ebrahimi, Mehrdad, 2026. "A reliability-oriented model for optimal deployment of corrective maintenance crews in power distribution systems: A stochastic dynamic planning using benders decomposition," Reliability Engineering and System Safety, Elsevier, vol. 270(C).
    3. Bakır, Niyazi Onur & Tekin, Salih & Keleş, Büşra, 2026. "Expected utility-based maintenance planning under risk aversion for a two-state deterioration model," Reliability Engineering and System Safety, Elsevier, vol. 270(C).

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