Algorithms and Reformulations for Lot Sizing Problems

Yves Pochet and Laurence Wolsey ()
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Yves Pochet: CORE and IAG, Université catholique de Louvain, B-1348 Louvain-la-Neuve, Belgium
Laurence Wolsey: CORE and FSA, Université catholique de Louvain, B-1348 Louvain-la-Neuve, Belgium

No 1994027, LIDAM Discussion Papers CORE from Université catholique de Louvain, Center for Operations Research and Econometrics (CORE)

Abstract: In this paper we give a "personal" survey of the research on the polyhedral approach to lot-sizing problems developed over the last ten years. Most results concern the formulation and reformulations of single-item problems which can be used to tighten the formulation of practical multi-item and multi-stage problems. The discussion is restricted to exact algorithms, and more specifically to extended linear programming refomulations, cutting planes and separation algorithms. The large body of work on heuristic algorithms is not discussed. The single item lot-sizing subproblems that we discuss in some detail are the uncapacitated lot-sizing problem (ULS), the uncapacitated lot-sizing problem with start-up costs (ULSS), the constant capacity lot-sizing problem (CCLS) and the varying capacity lot-sizing problem (CLS). We give also references to the work done on the reformulations of other single-item, multi-item single stage and multi-item multistage lot-sizing problems.

Keywords: Lot-Sizing Models; Mixed Integer Programming Formulations; Valid Inequalities; Separation Algorithms (search for similar items in EconPapers)
Date: 1994-06-01
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