Improving Edge Recombination through Alternate Inheritance and Greedy Manner

Genetic Algorithms (GAs) are well-known heuristic algorithms and have been widely applied to solve combinatorial problems. Edge recombination is one of the famous crossovers designed for GAs to solve combinatorial problems. The essence of edge recombination is to achieve maximal inheritance from parental edges. This paper presents two strategies to improve edge recombination. First, we encourage alternation of parents in edge inheritance. Second, a greedy method is used to handle the failures occurred in edge recombination. A modified edge recombination, called edge recombination with tabu (Edge-T), is proposed according to these two strategies. The traveling salesman problem is used as a benchmark to demonstrate the effectiveness of the proposed method. Experimental results indicate that Edge-T can achieve better performance than the conventional edge recombination Edge-3 in terms of both solution quality and convergence speed.

[1]  I. Yoshihara,et al.  Modified edge recombination operators of genetic algorithms for the traveling salesman problem , 2000, 2000 26th Annual Conference of the IEEE Industrial Electronics Society. IECON 2000. 2000 IEEE International Conference on Industrial Electronics, Control and Instrumentation. 21st Century Technologies.

[2]  Darrell Whitley,et al.  Scheduling problems and traveling salesman: the genetic edge recombination , 1989 .

[3]  L. Darrell Whitley,et al.  The Traveling Salesrep Problem, Edge Assembly Crossover, and 2-opt , 1998, PPSN.

[4]  D. J. Smith,et al.  A Study of Permutation Crossover Operators on the Traveling Salesman Problem , 1987, ICGA.

[5]  Darrell Whitley,et al.  A comparative study of genetic sequencing operators , 1991 .

[6]  Shigenobu Kobayashi,et al.  An analysis of edge assembly crossover for the traveling salesman problem , 1999, IEEE SMC'99 Conference Proceedings. 1999 IEEE International Conference on Systems, Man, and Cybernetics (Cat. No.99CH37028).

[7]  L. Darrell Whitley,et al.  Advanced Correlation Analysis of Operators for the Traveling Salesman Problem , 1994, PPSN.

[8]  L. Darrell Whitley,et al.  Genetic Operators, the Fitness Landscape and the Traveling Salesman Problem , 1992, PPSN.

[9]  John H. Holland,et al.  Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence , 1992 .

[10]  David E. Goldberg,et al.  AllelesLociand the Traveling Salesman Problem , 1985, ICGA.

[11]  Brian W. Kernighan,et al.  An Effective Heuristic Algorithm for the Traveling-Salesman Problem , 1973, Oper. Res..

[12]  Lawrence Davis,et al.  Applying Adaptive Algorithms to Epistatic Domains , 1985, IJCAI.

[13]  G. Croes A Method for Solving Traveling-Salesman Problems , 1958 .

[14]  David E. Goldberg,et al.  Alleles, loci and the traveling salesman problem , 1985 .

[15]  Shigenobu Kobayashi,et al.  Edge Assembly Crossover: A High-Power Genetic Algorithm for the Travelling Salesman Problem , 1997, ICGA.

[16]  Bernard Manderick,et al.  The Genetic Algorithm and the Structure of the Fitness Landscape , 1991, ICGA.

[17]  Manuel Laguna,et al.  Tabu Search , 1997 .