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A lot-sizing and scheduling model for multi-stage flow lines with zero lead times

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  • Stadtler, Hartmut
  • Sahling, Florian
Abstract
We present a new model formulation for lot-sizing and scheduling of multi-stage flow lines which works without a fixed lead-time offset and still guarantees a feasible material flow. In the literature, multi-stage lot-sizing model formulations often use a fixed lead time offset of one period leading to increased planned lead times. Computational tests have shown that the total costs resulting from our new model formulation are at least 10% lower. Furthermore, we present a solution approach based on Fix-and-Relax and Fix-and-Optimize. Numerical results show that this solution approach generates high-quality solutions in moderate computational time.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:ejores:v:225:y:2013:i:3:p:404-419
    DOI: 10.1016/j.ejor.2012.10.011
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    References listed on IDEAS

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    1. William W. Trigeiro & L. Joseph Thomas & John O. McClain, 1989. "Capacitated Lot Sizing with Setup Times," Management Science, INFORMS, vol. 35(3), pages 353-366, March.
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    5. Christopher Suerie, 2005. "Time Continuity in Discrete Time Models," Lecture Notes in Economics and Mathematical Systems, Springer, number 978-3-540-27290-8, October.
    6. 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.
    7. 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.
    8. Fandel, Gunter & Stammen-Hegene, Cathrin, 2006. "Simultaneous lot sizing and scheduling for multi-product multi-level production," International Journal of Production Economics, Elsevier, vol. 104(2), pages 308-316, December.
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    Cited by:

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    5. 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.
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    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. Sahling, Florian & Hahn, Gerd J., 2019. "Dynamic lot sizing in biopharmaceutical manufacturing," International Journal of Production Economics, Elsevier, vol. 207(C), pages 96-106.

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