Approximation algorithms for the asymmetric postman problem

被引:0
作者
Raghavachari, B [1 ]
Veerasamy, J [1 ]
机构
[1] Univ Texas, Dept Comp Sci, Richardson, TX 75083 USA
来源
PROCEEDINGS OF THE TENTH ANNUAL ACM-SIAM SYMPOSIUM ON DISCRETE ALGORITHMS | 1999年
关键词
asymmetric postman problem; windy postman problem; Chinese postman problem; combinatorial optimization; approximation algorithms; linear programming;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The asymmetric postman problem is a generalization of the Chinese postman problem in which the edge-traversal costs are asymmetric. The problem is to compute a shortest tour that traverses every edge of a given graph at least once, and it is known to be NP-hard. An approximation algorithm with a performance ratio of 3/2 for the asymmetric postman problem is presented.
引用
收藏
页码:734 / 741
页数:8
相关论文
共 14 条
[1]  
BRUCKER P., 1981, LNCS, V100, P354
[2]  
CHRISTOFIDES N, 1984, NOTES CONTROL INFORM, V59
[3]  
Edmonds J., 1973, Mathematical Programming, V5, P88, DOI 10.1007/BF01580113
[4]   ARC ROUTING-PROBLEMS .1. THE CHINESE POSTMAN PROBLEM [J].
EISELT, HA ;
GENDREAU, M ;
LAPORTE, G .
OPERATIONS RESEARCH, 1995, 43 (02) :231-242
[5]   APPROXIMATION ALGORITHMS FOR SOME POSTMAN PROBLEMS [J].
FREDERICKSON, GN .
JOURNAL OF THE ACM, 1979, 26 (03) :538-554
[6]   A CUTTING PLANE ALGORITHM FOR THE WINDY POSTMAN PROBLEM [J].
GROTSCHEL, M ;
ZAW, W .
MATHEMATICAL PROGRAMMING, 1992, 55 (03) :339-358
[7]   ON THE WINDY POSTMAN PROBLEM [J].
GUAN, M .
DISCRETE APPLIED MATHEMATICS, 1984, 9 (01) :41-46
[8]   CHINESE POSTMAN PROBLEM FOR MIXED NETWORKS [J].
MINIEKA, E .
MANAGEMENT SCIENCE, 1979, 25 (07) :643-648
[9]  
Nemhauser GeorgeL., 1988, Integer Programming and Combinatorial Optimization
[10]   COMPLEXITY OF EDGE TRAVERSING [J].
PAPADIMITRIOU, CH .
JOURNAL OF THE ACM, 1976, 23 (03) :544-554