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The efficiency of hybrid mutation genetic algorithm for the travelling salesman problem

✍ Scribed by K Katayama; H Sakamoto; H Narihisa


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
519 KB
Volume
31
Category
Article
ISSN
0895-7177

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✦ Synopsis


In this paper, we present an efficient genetic algorithm (GA) for solving the travelling salesman problem (TSP) as a combinatorial optimization problem. In our computational model, we propose a complete subtour exchange crossover that does not break as some good subtours as possible, because the good subtoum are worth preserving for descendants. Generally speaking, global search GA is considered to be better approaches than local searches. However, it is necessary to strengthen the ability of local search as well as global ones in order to increase a GA total efficiency. In this study, our GA applies a stochastic hill climbing procedure in the mutation process of the GA. Experimental results showed that the GA leads good convergence as high as 99 percent even for 500 cities TSP.


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## Abstract The traveling salesman problem, path, or cycle is NP‐complete. All known exact solutions to this problem are exponential. In the __N‐line planar__ traveling salesman problem the points are on __N__ lines in the plane. In this paper, simple and efficient low‐degree polynomial solutions a