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Algorithms for single item constant capacity lotsizing problems

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  • VAN VYVE, Mathieu

Abstract

The main result of this paper is to provide an O(n3) algorithm for the single item constant capacity lotsizing problem with backlogging and a general number of installable batches, i.e in each time period t we may install up to mt multiples of the batch capacity, where the mt are given and are time-dependent. This generalizes earlier results [12, 16] as we consider backlogging and a general number of installable batches. We also give faster algorithms for three special cases of this general problem. When backlogging is not allowed and the costs satisfy the Wagner-Whitin property the problem is solvable in O(n2logn) time. In the discrete case it is possible to solve the problem with and without backlogging in O(n2) and O(n2logn) time respectively.

Suggested Citation

  • VAN VYVE, Mathieu, 2003. "Algorithms for single item constant capacity lotsizing problems," LIDAM Discussion Papers CORE 2003007, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvco:2003007
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    File URL: https://sites.uclouvain.be/core/publications/coredp/coredp2003.html
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    Cited by:

    1. Jans, Raf & Degraeve, Zeger, 2007. "Meta-heuristics for dynamic lot sizing: A review and comparison of solution approaches," European Journal of Operational Research, Elsevier, vol. 177(3), pages 1855-1875, March.

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