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Strong formulations for multi-item capacitated lot sizing. (English) Zbl 0601.90037

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.

MSC:

90B05 Inventory, storage, reservoirs
90C90 Applications of mathematical programming
90C11 Mixed integer programming
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