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Four equivalent lot-sizing models

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  • van den Heuvel, W.
  • Wagelmans, A.P.M.

Abstract

We study the following lot-sizing models that recently appeared in the literature: a lot-sizing model with a remanufacturing option, a lot-sizing model with production time windows, and a lot-sizing model with cumulative capacities. We show the equivalence of these models with a classical model: the lot-sizing model with inventory bounds.

Suggested Citation

  • van den Heuvel, W. & Wagelmans, A.P.M., 2007. "Four equivalent lot-sizing models," Econometric Institute Research Papers EI 2007-30, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    • Handle: RePEc:ems:eureir:10452
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    1. Richter, Knut & Weber, Jens, 2001. "The reverse Wagner/Whitin model with variable manufacturing and remanufacturing cost," International Journal of Production Economics, Elsevier, vol. 71(1-3), pages 447-456, May.
    2. Heuvel, Wilco van den & Borm, Peter & Hamers, Herbert, 2007. "Economic lot-sizing games," European Journal of Operational Research, Elsevier, vol. 176(2), pages 1117-1130, January.
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    6. Harvey M. Wagner & Thomson M. Whitin, 1958. "Dynamic Version of the Economic Lot Size Model," Management Science, INFORMS, vol. 5(1), pages 89-96, October.
    7. Richter, Knut & Sombrutzki, Mirko, 2000. "Remanufacturing planning for the reverse Wagner/Whitin models," European Journal of Operational Research, Elsevier, vol. 121(2), pages 304-315, March.
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    Cited by:

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    2. Hark‐Chin Hwang & Wilco van den Heuvel, 2012. "Improved algorithms for a lot‐sizing problem with inventory bounds and backlogging," Naval Research Logistics (NRL), John Wiley & Sons, vol. 59(3‐4), pages 244-253, April.
    3. Guan, Yongpei & Liu, Tieming, 2010. "Stochastic lot-sizing problem with inventory-bounds and constant order-capacities," European Journal of Operational Research, Elsevier, vol. 207(3), pages 1398-1409, December.
    4. Zhang, Zhi-Hai & Jiang, Hai & Pan, Xunzhang, 2012. "A Lagrangian relaxation based approach for the capacitated lot sizing problem in closed-loop supply chain," International Journal of Production Economics, Elsevier, vol. 140(1), pages 249-255.
    5. Hwang, H.C., 2009. "Economic Lot-Sizing Problem with Bounded Inventory and Lost-Sales," Econometric Institute Research Papers EI 2009-01, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    6. Chung-Lun Li & Qingying Li, 2016. "Polynomial-Time Solvability of Dynamic Lot Size Problems," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(03), pages 1-20, June.
    7. Chitsaz, Masoud & Cordeau, Jean-François & Jans, Raf, 2020. "A branch-and-cut algorithm for an assembly routing problem," European Journal of Operational Research, Elsevier, vol. 282(3), pages 896-910.
    8. Wolsey, L.A., 2015. "Uncapacitated Lot-Sizing with Stock Upper Bounds, Stock Fixed Costs, Stock Overloads and Backlogging: A Tight Formulation," LIDAM Discussion Papers CORE 2015041, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).

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    Keywords

    equivalent models; lot-sizing;

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