bc-prod: A specialized branch-and-cut system for lot-sizing problems
(2000) Management science — Vol. 46, n° 5, p. 724-738 (2000)
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- 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 be - 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.
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Citations
Belvaux, G., & Wolsey, L. (2000). bc-prod: A specialized branch-and-cut system for lot-sizing problems. Management science, 46(5), 724-738. https://doi.org/10.1287/mnsc.46.5.724.12048 (Original work published 2000)