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Dynamic multi-machine lotsizing and sequencing with simultaneous scheduling of a common setup resource

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  • Tempelmeier, Horst
  • Buschkühl, Lisbeth

Abstract

In this paper we propose a new solution approach to a lotsizing and scheduling problem which explicitly includes the simultaneous consideration of a common setup operator. This type of problem has been observed in several industries. We propose a model formulation of this dynamic capacitated multi-item multi-machine one-setup-operator lotsizing problem that is based on the proportional lotsizing and scheduling problem (PLSP) of Haase [1994. Lotsizing and Scheduling for Production Planning. Springer, Berlin]. In addition, we propose a model reformulation that is based on the simple plant location analogy. Finally, we extend the model for the case of a special type of sequence-dependent setup times. The different models are applied in an industrial planning environment and it is shown that good solutions are found within a few minutes of CPU time with a standard solver. Compared to the planning procedure used in the company up to now significant reductions in setup costs as well as feasible production schedules without backorders are achievable.

Suggested Citation

  • Tempelmeier, Horst & Buschkühl, Lisbeth, 2008. "Dynamic multi-machine lotsizing and sequencing with simultaneous scheduling of a common setup resource," International Journal of Production Economics, Elsevier, vol. 113(1), pages 401-412, May.
    • Handle: RePEc:eee:proeco:v:113:y:2008:i:1:p:401-412
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    8. Suerie, Christopher & Stadtler, Hartmut, 2003. "The Capacitated lot-sizing problem with linked lot sizes," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 20206, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    9. Fleischmann, Bernhard, 1990. "The discrete lot-sizing and scheduling problem," European Journal of Operational Research, Elsevier, vol. 44(3), pages 337-348, February.
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    Cited by:

    1. Stadtler, Hartmut, 2011. "Multi-level single machine lot-sizing and scheduling with zero lead times," European Journal of Operational Research, Elsevier, vol. 209(3), pages 241-252, March.
    2. Almeder, Christian & Klabjan, Diego & Traxler, Renate & Almada-Lobo, Bernardo, 2015. "Lead time considerations for the multi-level capacitated lot-sizing problem," European Journal of Operational Research, Elsevier, vol. 241(3), pages 727-738.
    3. Martin Wörbelauer & Herbert Meyr & Bernardo Almada-Lobo, 2019. "Simultaneous lotsizing and scheduling considering secondary resources: a general model, literature review and classification," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 41(1), pages 1-43, March.
    4. Stefansdottir, Bryndis & Grunow, Martin & Akkerman, Renzo, 2017. "Classifying and modeling setups and cleanings in lot sizing and scheduling," European Journal of Operational Research, Elsevier, vol. 261(3), pages 849-865.
    5. 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.
    6. Karina Copil & Martin Wörbelauer & Herbert Meyr & Horst Tempelmeier, 2017. "Simultaneous lotsizing and scheduling problems: a classification and review of models," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 39(1), pages 1-64, January.
    7. Kaczmarczyk, Waldemar, 2020. "Valid inequalities for proportional lot-sizing and scheduling problem with fictitious microperiods," International Journal of Production Economics, Elsevier, vol. 219(C), pages 236-247.
    8. Mac Cawley, Alejandro & Maturana, Sergio & Pascual, Rodrigo & Tortorella, Guilherme Luz, 2022. "Scheduling wine bottling operations with multiple lines and sequence-dependent set-up times: Robust formulation and a decomposition solution approach," European Journal of Operational Research, Elsevier, vol. 303(2), pages 819-839.
    9. Stadtler, Hartmut & Sahling, Florian, 2013. "A lot-sizing and scheduling model for multi-stage flow lines with zero lead times," European Journal of Operational Research, Elsevier, vol. 225(3), pages 404-419.
    10. Stefan Helber & Ton Kok & Heinrich Kuhn & Michael Manitz & Andrea Matta & Raik Stolletz, 2019. "Quantitative approaches in production management," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 41(4), pages 867-870, December.
    11. Ferreira, Deisemara & Clark, Alistair R. & Almada-Lobo, Bernardo & Morabito, Reinaldo, 2012. "Single-stage formulations for synchronised two-stage lot sizing and scheduling in soft drink production," International Journal of Production Economics, Elsevier, vol. 136(2), pages 255-265.

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