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A hybrid column-generation and genetic algorithm approach for solving large-scale multimission selective maintenance problems in serial K-out-of-n:G systems

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  • Ryan O'Neil
  • Claver Diallo
  • Abdelhakim Khatab
  • El-Houssain Aghezzaf

Abstract

This paper introduces a solution method for the multimission selective maintenance problem (SMP) that combines column-generation (CG) and genetic algorithms (GAs). The multimission SMP is an optimisation problem that arises when a system performs a sequence of missions separated by breaks of finite duration. During these finite breaks, only a subset of possible maintenance actions can be performed due to resource limitations. The problem is in deciding what actions to perform during each break duration such that the system meets or exceeds a minimum target reliability for all missions. The resulting optimisation problems are usually modelled as mixed integer nonlinear mathematical programmes, which are hard to solve. They are usually solved using metaheuristics. We propose a solution method based on CG framework in which the subproblems are solved using a GA. By integrating the GA within the classical CG framework, high-quality solutions can be obtained very quickly. The proposed solution method is capable of solving systems composed of both parallel and k-out-of-n:G subsystems. This hybrid CG algorithm is shown to obtain near optimal solutions and outperform other metaheuristic solution methods; it is also shown to be capable of solving large-scale systems composed of many subsystems and hundreds of components in a reasonable amount of time.

Suggested Citation

  • Ryan O'Neil & Claver Diallo & Abdelhakim Khatab & El-Houssain Aghezzaf, 2023. "A hybrid column-generation and genetic algorithm approach for solving large-scale multimission selective maintenance problems in serial K-out-of-n:G systems," International Journal of Production Research, Taylor & Francis Journals, vol. 61(9), pages 3070-3086, May.
  • Handle: RePEc:taf:tprsxx:v:61:y:2023:i:9:p:3070-3086
    DOI: 10.1080/00207543.2022.2077670
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    Cited by:

    1. Zhang, Lin & Chen, Xiaohui & Khatab, Abdelhakim & An, Youjun & Feng, XiaoNing, 2024. "Joint optimization of selective maintenance and repairpersons assignment problem for mission-oriented systems operating under s-dependent competing risks," Reliability Engineering and System Safety, Elsevier, vol. 242(C).

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