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Note on "An efficient approach for solving the lot-sizing problem with time-varying storage capacities"

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  • van den Heuvel, Wilco
  • Gutiérrez, José Miguel
  • Hwang, Hark-Chin

Abstract

In a recent paper Gutièrrez et al. [1] show that the lot-sizing problem with inventory bounds can be solved in time. In this note we show that their algorithm does not lead to an optimal solution in general.

Suggested Citation

  • van den Heuvel, Wilco & Gutiérrez, José Miguel & Hwang, Hark-Chin, 2011. "Note on "An efficient approach for solving the lot-sizing problem with time-varying storage capacities"," European Journal of Operational Research, Elsevier, vol. 213(2), pages 455-457, September.
    • Handle: RePEc:eee:ejores:v:213:y:2011:i:2:p:455-457
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    1. Albert Wagelmans & Stan van Hoesel & Antoon Kolen, 1992. "Economic Lot Sizing: An O(n log n) Algorithm That Runs in Linear Time in the Wagner-Whitin Case," Operations Research, INFORMS, vol. 40(1-supplem), pages 145-156, February.
    2. Gutiérrez, J. & Sedeí±o-Noda, A. & Colebrook, M. & Sicilia, J., 2008. "An efficient approach for solving the lot-sizing problem with time-varying storage capacities," European Journal of Operational Research, Elsevier, vol. 189(3), pages 682-693, September.
    3. 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.
    4. Stephen F. Love, 1973. "Bounded Production and Inventory Models with Piecewise Concave Costs," Management Science, INFORMS, vol. 20(3), pages 313-318, November.
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    Cited by:

    1. Fan, Jie & Wang, Guoqing, 2018. "Joint optimization of dynamic lot and warehouse sizing problems," European Journal of Operational Research, Elsevier, vol. 267(3), pages 849-854.
    2. José M. Gutiérrez & Beatriz Abdul-Jalbar & Joaquín Sicilia & Inmaculada Rodríguez-Martín, 2021. "Effective Algorithms for the Economic Lot-Sizing Problem with Bounded Inventory and Linear Fixed-Charge Cost Structure," Mathematics, MDPI, vol. 9(6), pages 1-21, March.
    3. 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.
    4. Ayse Akbalik & Bernard Penz & Christophe Rapine, 2015. "Capacitated lot sizing problems with inventory bounds," Annals of Operations Research, Springer, vol. 229(1), pages 1-18, June.

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