Exploiting orbits in symmetric ILP

被引：81
|
作者：
Margot, F [1 ]
机构：
[1] Univ Kentucky, Dept Math, Lexington, KY 40506 USA
来源：
MATHEMATICAL PROGRAMMING | 2003年 / 98卷 / 1-3期
关键词：
branch-and-cut; isomorphism pruning; symmetry;
D O I：
10.1007/s10107-003-0394-6
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
This paper describes components of a branch-and-cut algorithm for solving integer linear programs having a large symmetry group. It describes an isomorphism pruning algorithm and variable setting procedures using orbits of the symmetry group. Pruning and orbit computations are performed by backtracking procedures using a Schreier-Sims table for representing the symmetry group. Applications to hard set covering problems, generation of covering designs and error correcting codes are given.
引用
收藏
页码：3 / 21
页数：19
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