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Complexity analysis of integrated dynamic lot sizing and maintenance planning problems

Author

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  • Absi, Nabil
  • van den Heuvel, Wilco
  • Dauzère-Pérès, Stéphane

Abstract

We consider a problem where the planning decisions of producing on and maintaining a single machine are integrated. The age of the machine, and thus when maintenance should be performed, is influenced by the production decisions. Decisions are taken on a planning horizon discretized in periods. The computational complexity of several variants of the single-item problem are studied depending on whether (i) Maintenance can be performed on the machine at any point in time in a period or must be performed at the end of a period, (ii) There is a fixed aging component when starting production, and (iii) There is a minimum age before maintenance can be performed on the machine. The multi-item case is proved to be NP-hard.

Suggested Citation

  • Absi, Nabil & van den Heuvel, Wilco & Dauzère-Pérès, Stéphane, 2024. "Complexity analysis of integrated dynamic lot sizing and maintenance planning problems," European Journal of Operational Research, Elsevier, vol. 318(1), pages 100-109.
    • Handle: RePEc:eee:ejores:v:318:y:2024:i:1:p:100-109
    DOI: 10.1016/j.ejor.2024.04.025
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