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A new type of model for multi-item capacitated dynamic lotsizing and scheduling

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  • Drexl, Andreas
  • Haase, Knut

Abstract

Three types of multi-item capacitated dynamic lotsizing and scheduling models are well established until now: The capacitated lotsizing problem, the discrete lotsizing and scheduling problem as well as the continuous setup lotsizing problem. An analysis of the underlying fundamental assumptions provides the basis for introducing a new model type, the proportional lotsizing and scheduling problem. This model type is well suited for incorporating some of the extensions relevant with respect to practice: Setup times, sequence dependent setup costs (times), multiple machines as well as multiple stages. Last but not least we show how make-or-buy decisions may be modelled within this framework. This is relevant regarding three important aspects: First it is more general, second it is of practical relevance, third it provides the basis for overcoming difficulties associated with feasibility problems. The last fact opens up new avenues especially for the development of efficient local search procedures.

Suggested Citation

  • Drexl, Andreas & Haase, Knut, 1992. "A new type of model for multi-item capacitated dynamic lotsizing and scheduling," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 286, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    • Handle: RePEc:zbw:cauman:286
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    Cited by:

    1. Drexl, Andreas & Jordan, Carsten, 1993. "Wissensbasierte Produktionsprozeßplanung bei reihenfolgeabhängigen Rüstkosten und -zeiten," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 321, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    2. Bruggemann, Wolfgang & Jahnke, Hermann, 2000. "The discrete lot-sizing and scheduling problem: Complexity and modification for batch availability," European Journal of Operational Research, Elsevier, vol. 124(3), pages 511-528, August.
    3. Drexl, Andreas & Fleischmann, B. & Günther, H.-O. & Stadtler, H. & Tempelmeier, H., 1993. "Konzeptionelle Grundlagen kapazitätsorientierter PPS-Systeme," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 315, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    4. Kimms, A., 1996. "Multi-level, single-machine lot sizing and scheduling (with initial inventory)," European Journal of Operational Research, Elsevier, vol. 89(1), pages 86-99, February.
    5. Drexl, Andreas & Haase, Knut, 1993. "Sequential-analysis-based randomized-regret-methods for lotsizing and scheduling," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 323, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.

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