bc --- prod: A Specialized Branch-and-Cut System for Lot-Sizing Problems

Gaetan Belvaux () and Laurence A. Wolsey ()
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Gaetan Belvaux: CORE, Voie du Roman Pays 34, 1348 Louvain-la-Neuve, Belgium
Laurence A. Wolsey: CORE, Voie du Roman Pays 34, 1348 Louvain-la-Neuve, Belgium

Management Science, 2000, vol. 46, issue 5, 724-738

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 lot-sizing 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: manufacturing; lot-sizing; branch-and-cut; modelling language (search for similar items in EconPapers)
Date: 2000
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Citations: View citations in EconPapers (45)

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