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Strong Formulations for Multi-Item Capacitated Lot Sizing

Author

Listed:
  • Imre Barany

    (Mathematical Institute of the Hungarian Academy of Sciences, Budapest, Hungary)

  • Tony J. Van Roy

    (Center for Operations Research & Econometrics, Université Catholique de Louvain, 1348 Louvain-la-Neuve, Belgium)

  • Laurence A. Wolsey

    (Center for Operations Research & Econometrics, Université Catholique de Louvain, 1348 Louvain-la-Neuve, Belgium)

Abstract

Multi-item capacitated lot-sizing problems are reformulated using a class of valid inequalities, which are facets for the single-item uncapacitated problem. Computational results using this reformulation are reported, and problems with up to 20 items and 13 periods have been solved to optimality using a commercial mixed integer code. We also show how the valid inequalities can easily be generated as part of a cutting plane algorithm, and suggest a further class of inequalities that is useful for single-item capacitated problems.

Suggested Citation

  • Imre Barany & Tony J. Van Roy & Laurence A. Wolsey, 1984. "Strong Formulations for Multi-Item Capacitated Lot Sizing," Management Science, INFORMS, vol. 30(10), pages 1255-1261, October.
  • Handle: RePEc:inm:ormnsc:v:30:y:1984:i:10:p:1255-1261
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    File URL: http://dx.doi.org/10.1287/mnsc.30.10.1255
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    Keywords

    inventory/production: lot sizing;

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