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Solving the Weighted Capacitated Planned Maintenance Problem and its variants

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  • Kuschel, Torben
  • Bock, Stefan

Abstract

This paper introduces, analyzes, and solves the Weighted Capacitated Planned Maintenance Problem (WCPMP) and its practically relevant variants. The problem pursues the finding of a maintenance schedule that incurs minimum total fixed and variable cost. Each executed maintenance activity guarantees the operability of the respective component for an interval of predetermined length. Moreover, a feasible schedule has to obey period-dependent predetermined time limitations for the scheduled maintenance activities. After providing a literature classification of the WCPMP and proving that the unweighted CPMP is strongly NP-hard, the complexity status of further problem variants is established. For instance, a solution procedure is proposed for the WCPMP that guarantees an optimal solution in strongly-polynomial time if the number of maintenance activities is a constant. Moreover, the algorithm becomes pseudo-polynomial if the number of periods is a constant. In order to deal with strongly NP-hard variants, a multi-state Tabu Search approach is proposed. Its efficiency is evaluated in a computational study.

Suggested Citation

  • Kuschel, Torben & Bock, Stefan, 2019. "Solving the Weighted Capacitated Planned Maintenance Problem and its variants," European Journal of Operational Research, Elsevier, vol. 272(3), pages 847-858.
    • Handle: RePEc:eee:ejores:v:272:y:2019:i:3:p:847-858
    DOI: 10.1016/j.ejor.2018.07.008
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