Abstract
This paper examines sets of all_different predicates that appear in multidimensional assignment problems. It proposes the study of certain LP relaxations as a prerequisite of integrating CP with IP on these problems. The convex hull of vectors satisfying simultaneously two predicates is analysed and a separation algorithm for facet-defining inequalities is proposed.
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Appa, G., Magos, D., Mourtos, I. (2004). LP Relaxations of Multiple all_different Predicates. In: Régin, JC., Rueher, M. (eds) Integration of AI and OR Techniques in Constraint Programming for Combinatorial Optimization Problems. CPAIOR 2004. Lecture Notes in Computer Science, vol 3011. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24664-0_25
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DOI: https://doi.org/10.1007/978-3-540-24664-0_25
Publisher Name: Springer, Berlin, Heidelberg
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