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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
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    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.

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    File URL: http://www.sciencedirect.com/science/article/pii/S0377221712007382
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    Bibliographic Info

    Article provided by Elsevier in its journal European Journal of Operational Research.

    Volume (Year): 225 (2013)
    Issue (Month): 3 ()
    Pages: 404-419

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    Handle: RePEc:eee:ejores:v:225:y:2013:i:3:p:404-419

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    Web page: http://www.elsevier.com/locate/eor

    Related research

    Keywords: Lot-sizing; Scheduling; Zero lead time offset; Fix-and-Optimize;

    References

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    1. Helber, Stefan & Sahling, Florian, 2010. "A fix-and-optimize approach for the multi-level capacitated lot sizing problem," International Journal of Production Economics, Elsevier, vol. 123(2), pages 247-256, February.
    2. Horst Tempelmeier & Matthias Derstroff, 1996. "A Lagrangean-Based Heuristic for Dynamic Multilevel Multiitem Constrained Lotsizing with Setup Times," Management Science, INFORMS, vol. 42(5), pages 738-757, May.
    3. 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.
    4. 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.
    5. 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.
    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.
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