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Capacitated Multi-Item Lot-Sizing Problems with Time Windows

Author

Listed:
  • Nadjib Brahimi

    (IRCCyN---Ecole des Mines de Nantes, UMR CNRS 6597, La Chantrerie, BP 20722, F-44307 Nantes Cedex 3, France)

  • Stéphane Dauzère-Pérès

    (Ecole des Mines de Saint-Etienne, CMP Georges Charpak, Avenue des Anémones---Quartier Saint-Pierre, F-13541 Gardanne, France)

  • Najib M. Najid

    (IRCCyN---IUT de Nantes, UMR CNRS 6597, 2, Avenue du Professeur Jean Rouxel, BP 539, F-44475 Carquefou, France)

Abstract

This research concerns a new family of capacitated multi-item lot-sizing problems, namely, lot-sizing problems with time windows. Two classes of the problem are analyzed and solved using different Lagrangian heuristics. Capacity constraints and a subset of time window constraints are relaxed resulting in particular single-item time window problems that are solved in polynomial time. Other relaxations leading to the classical Wagner-Whitin problem are also tested. Several smoothing heuristics are implemented and tested, and their results are compared. The gaps between lower and upper bounds for most problems are very small (less than 1%). Moreover, the proposed algorithms are robust and do not seem to be too affected when different parameters of the problem are varied.

Suggested Citation

  • Nadjib Brahimi & Stéphane Dauzère-Pérès & Najib M. Najid, 2006. "Capacitated Multi-Item Lot-Sizing Problems with Time Windows," Operations Research, INFORMS, vol. 54(5), pages 951-967, October.
    • Handle: RePEc:inm:oropre:v:54:y:2006:i:5:p:951-967
    DOI: 10.1287/opre.1060.0325
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    References listed on IDEAS

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    Cited by:

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    2. Akartunalı, Kerem & Dauzère-Pérès, Stéphane, 2022. "Dynamic lot sizing with stochastic demand timing," European Journal of Operational Research, Elsevier, vol. 302(1), pages 221-229.
    3. Liu, Kanglin & Zhang, Zhi-Hai, 2018. "Capacitated disassembly scheduling under stochastic yield and demand," European Journal of Operational Research, Elsevier, vol. 269(1), pages 244-257.
    4. Horst Tempelmeier & Karina Copil, 2016. "Capacitated lot sizing with parallel machines, sequence-dependent setups, and a common setup operator," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 38(4), pages 819-847, October.

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