An approximation algorithm for a symmetric generalized multiple depot, multiple travelling salesman problem

被引:54
作者
Malik, Waqar
Rathinam, Sivakumar
Darbha, Swaroop [1 ]
机构
[1] Texas A&M Univ, Dept Mech Engn, College Stn, TX 77843 USA
[2] Univ Calif Berkeley, Dept Civil Engn, Berkeley, CA 94720 USA
关键词
approximation algorithms; travelling salesman; vehicle routing;
D O I
10.1016/j.orl.2007.02.001
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
In this paper, we present an algorithm with an approximation factor of 2 for a Generalized, Multiple Depot, Multiple Travelling Salesman Problem (GMTSP) when the costs are symmetric and satisfy the triangle inequality. The algorithm requires finding a degree constrained minimum spanning tree which we compute using a Lagrangian relaxation. (C) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码:747 / 753
页数:7
相关论文
共 26 条
[1]   The multiple traveling salesman problem: an overview of formulations and solution procedures [J].
Bektas, T .
OMEGA-INTERNATIONAL JOURNAL OF MANAGEMENT SCIENCE, 2006, 34 (03) :209-219
[2]  
Bellmore M., 1977, OPER RES, V25, P871
[3]  
Chandler PR, 2002, P AMER CONTR CONF, V1-6, P1831, DOI 10.1109/ACC.2002.1023833
[4]  
Chandler PR, 1998, P AMER CONTR CONF, P394, DOI 10.1109/ACC.1998.694698
[5]  
CHAUDHURI K, 2005, P 8 INT WORKSH APPR, P26
[6]  
CHAUDHURI K, 2006, P 33 INT C AUT LANG, P191
[7]   A faster deterministic algorithm for minimum spanning trees [J].
Chazelle, B .
38TH ANNUAL SYMPOSIUM ON FOUNDATIONS OF COMPUTER SCIENCE, PROCEEDINGS, 1997, :22-34
[8]  
CHRISTOFIDES N, 1976, 388 CARNEGIE MELLON
[9]  
Cohen Edith, 1993, COMPLEXITY NUMERICAL, P74
[10]  
DARBHA S, 2005, COMBINATORIAL MOTION