Date of Original Version

10-2002

Type

Article

Abstract or Description

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.

DOI

10.1007/s10107-002-0358-2

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Published In

Mathematical Programming , 94, 71-90.