APPROXIMATION ALGORITHMS FOR SOME POSTMAN PROBLEMS

被引:118
作者
FREDERICKSON, GN [1 ]
机构
[1] UNIV MARYLAND,COLLEGE PK,MD 20742
关键词
Chinese postman problem; heuristic; mixed postman problem; mixed strategy; NPcomplete; polynomial-time approximation algorithm; problems; rural postman problem; worst-case performance bound;
D O I
10.1145/322139.322150
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
Approxtmatton algorithms for several NP-complete edge-covermg routing problems are presented and analyzed m terms of the worst-case ratio of the cost of the obtained solutmn to the cost of the optimum solutton A worst-case bound of 2 is proved for the mixed postman algortthm of Edmonds and Johnson, and a related algorithm for the mixed postman problem is shown also to have a worst-case bound of 2 A mixed strategy approach ts used to obtain a bound of is for the mixed postman problem A second mixed strategy algorithm, for the mtxed postman on a planar graph, is shown to have a worst-case bound of. © 1979, ACM. All rights reserved.
引用
收藏
页码:538 / 554
页数:17
相关论文
共 20 条
[11]   APPROXIMATION ALGORITHMS FOR COMBINATORIAL PROBLEMS [J].
JOHNSON, DS .
JOURNAL OF COMPUTER AND SYSTEM SCIENCES, 1974, 9 (03) :256-278
[12]  
Karp Richard M., 1972, COMPLEXITY COMPUTER, P85
[13]  
Lawler EL., 2001, COMBINATORIAL OPTIMI
[14]  
Lenstra J. K., 1976, Networks, V6, P273, DOI 10.1002/net.3230060305
[15]  
MEIKO K, 1962, CHINESE MATH, V1, P237
[16]  
Orloff C. S., 1976, Networks, V6, P281, DOI 10.1002/net.3230060306
[17]  
Orloff C. S, 1974, NETWORKS, V4, P35, DOI [10.1002/net.3230040105, DOI 10.1002/NET.3230040105]
[18]   COMPLEXITY OF EDGE TRAVERSING [J].
PAPADIMITRIOU, CH .
JOURNAL OF THE ACM, 1976, 23 (03) :544-554
[19]  
ROSENKRANTZ DJ, 1977, SIAM J COMPTNG, V6, P115
[20]   APPROXIMATE ALGORITHMS FOR 0/1 KNAPSACK PROBLEM [J].
SAHNI, S .
JOURNAL OF THE ACM, 1975, 22 (01) :115-124