An ant colony optimization method for generalized TSP problem

被引:137
作者
Yang, Jinhui [1 ]
Shi, Xiaohu [1 ]
Marchese, Maurizio [2 ]
Liang, Yanchun [1 ]
机构
[1] Jilin Univ, Key Lab Symbol Computat & Knowledge Engn, Coll Comp Sci & Technol, Minist Educ, Changchun 130012, Peoples R China
[2] Univ Trent, Dept Comp Sci & Informat Engn, I-38050 Povo, TN, Italy
基金
中国国家自然科学基金;
关键词
Generalized traveling salesman problem; Ant colony optimization; Mutation; 2-OPT;
D O I
10.1016/j.pnsc.2008.03.028
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Focused on a variation of the euclidean traveling salesman problem (TSP), namely, the generalized traveling salesman problem (GTSP), this paper extends the ant colony optimization method from TSP to this field. By considering the group influence, an improved method is further improved. To avoid locking into local minima, a mutation process and a local searching technique are also introduced into this method. Numerical results show that the proposed method can deal with the GTSP problems fairly well, and the developed mutation process and local search technique are effective. (C) 2008 National Natural Science Foundation of China and Chinese Academy of Sciences. Published by Elsevier Limited and Science in China Press. All rights reserved.
引用
收藏
页码:1417 / 1422
页数:6
相关论文
共 24 条
[1]   TRAVELING SALESMAN PROBLEM - A SURVEY [J].
BELLMORE, M ;
NEHAUSE.GL .
OPERATIONS RESEARCH, 1968, 16 (03) :538-&
[2]   Genetic algorithms and traveling salesman problems [J].
Chatterjee, S ;
Carrera, C ;
Lynch, LA .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1996, 93 (03) :490-510
[3]   The dynamic programming method in the generalized traveling salesman problem [J].
Chentsov, AG ;
Korotayeva, LN .
MATHEMATICAL AND COMPUTER MODELLING, 1997, 25 (01) :93-105
[4]  
Dorigo M., 1997, IEEE Transactions on Evolutionary Computation, V1, P53, DOI 10.1109/4235.585892
[5]   Ant system: Optimization by a colony of cooperating agents [J].
Dorigo, M ;
Maniezzo, V ;
Colorni, A .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 1996, 26 (01) :29-41
[6]  
DORIGO M, 1999, CARO GDI ANT COLONY, P11
[7]  
DORIGO M, 1992, THESIS DIPARTIMENTO, P140
[8]  
DORIGO M, 1996, IEEE T SYST MAN CY B, V26, P1, DOI DOI 10.1109/3477.484436
[9]   A branch-and-cut algorithm for the symmetric generalized traveling salesman problem [J].
Fischetti, M ;
Gonzalez, JJS ;
Toth, P .
OPERATIONS RESEARCH, 1997, 45 (03) :378-394
[10]  
Goldberg D., 1989, COMPLEX SYST, V3, P493, DOI DOI 10.1007/978-1-4757-3643-4