A connection between cutting plane theory and the geometry of numbers

被引：7
|
作者：
Cornuéjols, G [1 ]
Li, YJ [1 ]
机构：
[1] Carnegie Mellon Univ, Grad Sch Ind Adm, Pittsburgh, PA 15213 USA
来源：
MATHEMATICAL PROGRAMMING | 2002年 / 93卷 / 01期
关键词：
closest vector problem; dominance problem; membership problem; validity problem; Chvatal cut; split cut; disjunctive cut; Gomory cut;
D O I：
10.1007/s10107-002-0302-5
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
In this paper, we relate several questions about cutting planes to a fundamental problem in the geometry of numbers, namely, the closest vector problem. Using this connection we show that the dominance, membership and validity problems are NP-complete for Chvatal and split cuts.
引用
收藏
页码：123 / 127
页数：5
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