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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Articles in this Issue were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence. Articles are hosted by MDPI on mdpi.com as a courtesy and upon agreement with the previous journal publisher.
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Math. Comput. Appl. 2009, 14(3), 219-228; https://doi.org/10.3390/mca14030219

Genetic Algorithm Based Solution for TSP on a Sphere

1
Department of Computer Engineering, University of Ege,35100 Bornova-Izmir, Turkey
2
Department of Mathematics, Faculty of Science, University of Ege, 35100 Bornova-Izmir, Turkey
3
International Computer Institute, University of Ege, 35100 Bornova-Izmir, Turkey
*
Authors to whom correspondence should be addressed.
Published: 1 December 2009
PDF [327 KB, uploaded 30 March 2016]

Abstract

The Traveling Salesman Problem (TSP) is one of the extensively studied combinatorial optimization problems. Various exact or approximation algorithms are devised for solving Euclidean TSP that determine the shortest route through a given set of points in 3-dimensional Euclidean space. In this paper, we proposed a genetic algorithm-based solution for TSP where all points are on the surface of a sphere. A Java-based interactive visualization tool is also developed using Java 3D and optimization results obtained for different problem sizes are presented.
Keywords: TSP; Genetic Algorithms; Spherical Geometry; Optimization TSP; Genetic Algorithms; Spherical Geometry; Optimization
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).
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Uğur, A.; Korukoğlu, S.; Çalıskan, A.; Cinsdikici, M.; Alp, A. Genetic Algorithm Based Solution for TSP on a Sphere. Math. Comput. Appl. 2009, 14, 219-228.

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