LOWER BOUNDS FOR THE SYMMETRIC TRAVELING SALESMAN PROBLEM FROM LAGRANGEAN RELAXATIONS

被引:2
|
作者
SMITH, THC [1 ]
MEYER, TWS [1 ]
THOMPSON, GL [1 ]
机构
[1] CARNEGIE MELLON UNIV,PITTSBURGH,PA 15213
关键词
Lagrangean relaxation; matching; Travelling salesman problem;
D O I
10.1016/0166-218X(90)90101-H
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The paper presents new lower bounding and reduction procedures for the symmetric travelling salesman problem. Lower bounds are obtained through the solution of the linear program corresponding to the 2-matching relaxation and improved through a restricted Lagrangean 2-matching approach. A computational comparison of the new bounds with bounds obtained from the well-known Lagrangean 1-tree relaxation is also presented. © 1990.
引用
收藏
页码:209 / 217
页数:9
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