Lot-sizing problems: modelling issues and a specialized branch-and-cut system BC-PROD

Gaetan Belvaux () and Laurence A. Wolsey ()
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Gaetan Belvaux: Center for Operations Research and Econometrics (CORE), Université catholique de Louvain (UCL), Louvain la Neuve, Belgium
Laurence A. Wolsey: Center for Operations Research and Econometrics (CORE), Université catholique de Louvain (UCL), Louvain la Neuve, Belgium

No 1998049, LIDAM Discussion Papers CORE from Université catholique de Louvain, Center for Operations Research and Econometrics (CORE)

Abstract: BC-PROD is a prototype modelling and optimization system designed and able to tackle a wide variety of the discrete-time lot-sizing problems arising both in practice and in the literature. To use BC-PROD, the user needs to formulate his/her problem as a mixed integer program using XPRESS-MP's mp-model, a standard mathematical programming modelling language taking into account a reserved set of key-words for specific lotsizing objects, such as production variables, storage and demand data, etc. The problem is then solved by the XPRESS-MP branch-and-bound system including lot-sizing specific preprocessing, cutting planes for different aspects of lot-sizing problems, plus general cutting planes, and a lot-sizing specific primal heuristic. Results are presented for a wide variety of big bucket and small bucket models with set-up and start-up costs and times.

Keywords: lot-sizing; production planning; integer programming; modelling system; branch-and-cut. (search for similar items in EconPapers)
Date: 1998-09-01
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Citations: View citations in EconPapers (2)

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