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An O(T 3 ) Algorithm for the Economic Lot-Sizing Problem with Constant Capacities

Author

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  • C. P. M. van Hoesel

    (Limburg University, Maastricht, The Netherlands)

  • A. P. M. Wagelmans

    (Erasmus University, Rotterdam, The Netherlands)

Abstract

We develop an algorithm that solves the constant capacities economic lot-sizing problem with concave production costs and linear holding in O(T 3 ) time. The algorithm is based on the standard dynamic programming approach which requires the computation of the minimal costs for all possible subplans of the production plan. Instead of computing these costs in a straightforward manner, we use structural properties of optimal subplans to arrive at a more efficient implementation. Our algorithm improves upon the O(T 4 ) running time of an earlier algorithm.

Suggested Citation

  • C. P. M. van Hoesel & A. P. M. Wagelmans, 1996. "An O(T 3 ) Algorithm for the Economic Lot-Sizing Problem with Constant Capacities," Management Science, INFORMS, vol. 42(1), pages 142-150, January.
    • Handle: RePEc:inm:ormnsc:v:42:y:1996:i:1:p:142-150
    DOI: 10.1287/mnsc.42.1.142
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    Cited by:

    1. Atamturk, Alper & Munoz, Juan Carlos, 2002. "A Study of the Lot-Sizing Polytope," University of California Transportation Center, Working Papers qt6zz2g0z4, University of California Transportation Center.
    2. Atamturk, Alper & Munoz, Juan Carlos, 2002. "A Study of the Lot-Sizing Polytope," University of California Transportation Center, Working Papers qt9gx170tx, University of California Transportation Center.

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    Keywords

    economic lot-sizing; complexity;

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