Pruning by Isomorphism in Branch-and-Cut

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Pruning by Isomorphism in Branch-and-Cut
The paper presents a branch-and-cut for solving (0, 1) integer linear programs having a large symmetry group. The group is used for pruning the enumeration tree and for generating cuts. The cuts are non-standard, cutting integer feasible solutions but leaving the optimal value of the problem unchanged. Pruning and cut generation are performed by backtracking procedures using a Schreier-Sims table for representing the group. Applications to hard set covering problems and to the generation of covering designs and error correcting codes are presented. Key words. branch-and-cut
François Margot
Added 31 Oct 2010
Updated 31 Oct 2010
Type Conference
Year 2001
Where IPCO
Authors François Margot
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