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

Author

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  • van den Heuvel, W.
  • Gutierrez, J.M.
  • Hwang, H.C.

Abstract

In a recent paper Gutierrez et al. (2008) show that the lot-sizing problem with inventory bounds can be solved in O(T log T) time. In this note we show that their algorithm does not lead to an optimal solution in general.

Suggested Citation

  • van den Heuvel, W. & Gutierrez, J.M. & Hwang, H.C., 2011. "Note on "An efficient approach for solving the lot-sizing problem with time-varying storage capacities"," Econometric Institute Research Papers EI 2011-39, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    • Handle: RePEc:ems:eureir:30665
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    References listed on IDEAS

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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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