HEURISTICS FOR UNEQUAL WEIGHT DELIVERY PROBLEMS WITH A FIXED ERROR GUARANTEE

被引:49
作者
ALTINKEMER, K [1 ]
GAVISH, B [1 ]
机构
[1] UNIV ROCHESTER, WILLIAM E SIMON GRAD SCH BUSINESS ADM, ROCHESTER, NY 14627 USA
关键词
DATA PROCESSING - Critical Path Analysis - MATHEMATICAL PROGRAMMING - MATHEMATICAL TECHNIQUES - Heuristic - SCHEDULING - Mathematical Models;
D O I
10.1016/0167-6377(87)90012-5
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
The worst case error performance is given as a bound on the worst case ratio of the cost of the heuristic solution to the cost of the optimal solution. A fully polynomial procedure which consists of applying the optimal partitioning to a travelling salesman tour generated by Christofides' heuristic has a worst case error bound of 3. 5-3/Q where Q is the capacity limit of the vehicles. When optimal partitioning is applied to an optimal travelling salesman tour, the worst case error bound becomes 3-2/Q.
引用
收藏
页码:149 / 158
页数:10
相关论文
共 22 条
[1]  
ALTINKEMER K, IN PRESS MANAGEMENT
[2]  
ALTINKEMER K, 1986, PARALLEL SAVINGS BAS
[3]  
ALTINKEMER K, 1985, QM8536 U ROCH GRAD S
[4]  
ALTINKEMER K, IN PRESS HEURISTICS
[5]   ROUTE 1ST - CLUSTER 2ND METHODS FOR VEHICLE-ROUTING [J].
BEASLEY, JE .
OMEGA-INTERNATIONAL JOURNAL OF MANAGEMENT SCIENCE, 1983, 11 (04) :403-408
[6]  
BODIN L, 1983, COMPUT OPER RES, V10, P63, DOI 10.1016/0305-0548(83)90030-8
[7]   AN ALGORITHM FOR VEHICLE-DISPATCHING PROBLEM [J].
CHRISTOF.N ;
EILON, S .
OPERATIONAL RESEARCH QUARTERLY, 1969, 20 (03) :309-&
[8]   EXACT ALGORITHMS FOR THE VEHICLE-ROUTING PROBLEM, BASED ON SPANNING TREE AND SHORTEST-PATH RELAXATIONS [J].
CHRISTOFIDES, N ;
MINGOZZI, A ;
TOTH, P .
MATHEMATICAL PROGRAMMING, 1981, 20 (03) :255-282
[9]  
Christofides N, 1979, VEHICLE ROUTING PROB
[10]  
Christofides N., 1976, 388 CARN MELL U GRAD