Memetic Algorithm based on Improved Inver–over operator and Lin–Kernighan local search for the Euclidean traveling salesman problem

In this study, an Improved Inver–over operator is proposed to solve the Euclidean traveling salesman problem (TSP) problem. The Improved Inver–over operator is tested on 14 different TSP examples selected from TSPLIB. The application of the Improved Inver–over operator gives much more effective resu...

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Bibliographic Details
Published in:Computers & mathematics with applications (1987) 2011-10, Vol.62 (7), p.2743-2754
Main Authors: Wang, Yu-ting, Li, Jun-qing, Gao, Kai-zhou, Pan, Quan-ke
Format: Article
Language:English
Subjects:
Algorithms
Computation
Convergence
Euclidean traveling salesman problem
Inver–over operator
Lin–Kernighan local search
Mathematical models
Memetic Algorithm
Operators
Searching
Traveling salesman problem
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Summary:In this study, an Improved Inver–over operator is proposed to solve the Euclidean traveling salesman problem (TSP) problem. The Improved Inver–over operator is tested on 14 different TSP examples selected from TSPLIB. The application of the Improved Inver–over operator gives much more effective results regarding to the best and average error values than the Basic Inver–over operator. Then an effective Memetic Algorithm based on Improved Inver–over operator and Lin–Kernighan local search is implemented. To speed up the convergence capability of the presented algorithm, a restart technique is employed. We evaluate the proposed algorithm based on standard TSP test problems and show that the proposed algorithm performs better than other Memetic Algorithm in terms of solution quality and computational effort.
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2011.06.063