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Enhancing Aggregate Production Planning with an Integrated Stochastic Queuing Model

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Operations Research Proceedings 2011

Part of the book series: Operations Research Proceedings ((ORP))

Abstract

Mathematical models for Aggregate Production Planning (APP) typically omit the dynamics of the underlying production system due to variable workload levels since they assume fixed capacity buffers and predetermined lead times. Pertinent approaches to overcome these drawbacks are either restrictive in their modeling capabilities or prohibitive in their computational effort. In this paper, we introduce an Aggregate Stochastic Queuing (ASQ) model to anticipate capacity buffers and lead time offsets for each time bucket of the APP model. The ASQ model allows for flexible modeling of the underlying production system and the corresponding optimization algorithm is computationally very well tractable. The APP and the ASQ model are integrated into a hierarchical framework and are solved iteratively. A numerical example is used to highlight the benefits of this novel approach.

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Author information

Authors and Affiliations

  1. Catholic University of Eichstaett-Ingolstadt, Auf der Schanz 49, 85049, Ingolstadt, Germany

    Gerd J. Hahn, Chris Kaiser & Heinrich Kuhn

  2. Catholic University of Leuven, Naamsestraat 69, 3000, Leuven, Belgium

    Lien Perdu & Nico J. Vandaele

Authors
  1. Gerd J. Hahn
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  2. Chris Kaiser
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  3. Heinrich Kuhn
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  4. Lien Perdu
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  5. Nico J. Vandaele
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Corresponding author

Correspondence to Gerd J. Hahn .

Editor information

Editors and Affiliations

  1. Institut für, Betriebswirtschaftslehre, Universität Zürich, Moussonstrasse, Zurich, 8044, Switzerland

    Diethard Klatte

  2. Inst. Operations Research, ETH Zürich, Rämistr. 101, Zürich, 8092, Switzerland

    Hans-Jakob Lüthi

  3. Institut für, Betriebswirtschaftslehre, Universität Zürich, Moussonstrasse 15, Zurich, 8044, Switzerland

    Karl Schmedders

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© 2012 Springer-Verlag Berlin Heidelberg

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Hahn, G.J., Kaiser, C., Kuhn, H., Perdu, L., Vandaele, N.J. (2012). Enhancing Aggregate Production Planning with an Integrated Stochastic Queuing Model. In: Klatte, D., Lüthi, HJ., Schmedders, K. (eds) Operations Research Proceedings 2011. Operations Research Proceedings. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29210-1_72

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