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The dynamic lot size model with quantity discount: Counterexamples and correction

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  • Jiefeng Xu
  • Leonard L. Lu

Abstract

Federgruen and Lee ([3]) proposed an optimal algorithm for the single‐item dynamic lot size model with all‐unit discount. In this note we show that their algorithm fails to find the optimal solution for some special cases. We also provide a modification to the algorithm to handle them. © 1998 John Wiley & Sons, Inc. Naval Research Logistics 45: 419–422, 1998

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  • Jiefeng Xu & Leonard L. Lu, 1998. "The dynamic lot size model with quantity discount: Counterexamples and correction," Naval Research Logistics (NRL), John Wiley & Sons, vol. 45(4), pages 419-422, June.
    • Handle: RePEc:wly:navres:v:45:y:1998:i:4:p:419-422
    DOI: 10.1002/(SICI)1520-6750(199806)45:43.0.CO;2-8
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    References listed on IDEAS

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    1. Awi Federgruen & Chung‐Yee Lee, 1990. "The dynamic lot size model with quantity discount," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(5), pages 707-713, October.
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    Cited by:

    1. Leon Yang Chu & Vernon Ning Hsu & Zuo‐Jun Max Shen, 2005. "An economic lot‐sizing problem with perishable inventory and economies of scale costs: Approximation solutions and worst case analysis," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(6), pages 536-548, September.
    2. Kirschstein, Thomas & Meisel, Frank, 2019. "A multi-period multi-commodity lot-sizing problem with supplier selection, storage selection and discounts for the process industry," European Journal of Operational Research, Elsevier, vol. 279(2), pages 393-406.
    3. Lap Mui Ann Chan & Ana Muriel & Zuo-Jun Shen & David Simchi-Levi, 2002. "On the Effectiveness of Zero-Inventory-Ordering Policies for the Economic Lot-Sizing Model with a Class of Piecewise Linear Cost Structures," Operations Research, INFORMS, vol. 50(6), pages 1058-1067, December.
    4. Chung‐Lun Li & Jinwen Ou & Vernon N. Hsu, 2012. "Dynamic lot sizing with all‐units discount and resales," Naval Research Logistics (NRL), John Wiley & Sons, vol. 59(3‐4), pages 230-243, April.

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