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Published in:
2002 | OriginalPaper | Chapter
A Relaxation of the Cumulative Constraint
Authors : John N. Hooker, Hong Yan
Published in: Principles and Practice of Constraint Programming - CP 2002
Publisher: Springer Berlin Heidelberg
Included in: Professional Book Archive
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Hybrid methods that combine constraint programming with mathematical programming make essential use of continuous relaxations for global constraints. We state a relaxation for the cumulative constraint. In particular we identify facet-defining inequalities for problems in which some jobs have the same duration, release time, and resource consumption rate. We also identify a much larger class of valid inequalities that exist in all problems.