Genetic algorithms for the travelling salesman problem:: A review of representations and operators

被引:524
作者
Larrañaga, P [1 ]
Kuijpers, CMH [1 ]
Murga, RH [1 ]
Inza, I [1 ]
Dizdarevic, S [1 ]
机构
[1] Univ Basque Country, Dept Comp Sci & Artificial Intelligence, E-20080 San Sebastian, Spain
关键词
Travelling Salesman Problem; Genetic Algorithms; binary representation; path representation; adjacency representation; ordinal representation; matrix representation; hybridation;
D O I
10.1023/A:1006529012972
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This paper is the result of a literature study carried out by the authors. It is a review of the different attempts made to solve the Travelling Salesman Problem with Genetic Algorithms. We present crossover and mutation operators, developed to tackle the Travelling Salesman Problem with Genetic Algorithms with different representations such as: binary representation, path representation, adjacency representation, ordinal representation and matrix representation. Likewise, we show the experimental results obtained with different standard examples using combination of crossover and mutation operators in relation with path representation.
引用
收藏
页码:129 / 170
页数:42
相关论文
共 61 条
[11]  
Fogel D. B., 1990, Proceedings of the Fourth Annual Parallel Processing Symposium, P318
[12]   APPLYING EVOLUTIONARY PROGRAMMING TO SELECTED TRAVELING SALESMAN PROBLEMS [J].
FOGEL, DB .
CYBERNETICS AND SYSTEMS, 1993, 24 (01) :27-36
[13]   AN EVOLUTIONARY APPROACH TO THE TRAVELING SALESMAN PROBLEM [J].
FOGEL, DB .
BIOLOGICAL CYBERNETICS, 1988, 60 (02) :139-144
[14]  
Fogel LJ., 1962, Ind Res, V4, P14
[15]  
FOX MS, 1987, FDN GENETIC ALGORITH, P284
[16]  
Goldberg D. E., 1989, GENETIC ALGORITHMS S
[17]  
Goldberg David E., 1985, P 1 INT C GENETIC AL, P154, DOI DOI 10.4324/9781315799674
[18]  
GORGESSCHLEUTER M, 1989, PROCEEDINGS OF THE THIRD INTERNATIONAL CONFERENCE ON GENETIC ALGORITHMS, P422
[19]  
Grefenstette J. J., 1987, P 2 INT C GEN ALG
[20]  
Grefenstette J.J., 1985, P 1 INT C GENETIC AL, P160