A New Algorithm for Solving TSP and its Applications

Article Preview

Abstract:

A new algorithm for TSP which is an improved ACO combined with MMAS and CSDT is proposed. MMAS can prevent the search from local optimum and search stagnation. We use candidate set strategy based on the Delaunay triangle (CSDT) in order to reduce serch space and accelerate the speed of the algorithm. Additionally, pheromone update and parameter optimization are detailed in this paper. The comparison analysis of the new algorithm, basic ant colony algorithm and MMAS algorithm is also given by using TSPLIB experimental data. Finally, we give an actual TSP case and compute the optimum solution by our new algorithm.The results show that the new algorithm is validity and effectively.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

1504-1508

Citation:

Online since:

January 2015

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2015 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] David L. Applegate, Robert E. Bixby, Vasek Chvatal, William J. Cook. The Traveling Salesman problem [M], princeton university press, (2006).

Google Scholar

[2] XingJian Wu. A Study of Approach to Solve the TSP Based on an Improved Genetic and Ant Colony Algorithm[D]. Dalian: Dalian Maritime University, (2011).

Google Scholar

[3] Yang Haiqing, Yang Haihong. An self-organizing neural network with convex-hull expanding property for TSP[C]. Neural Networks and Brain,ICNN&B'05,International Conference on volume 1, 2005: 379-383.

DOI: 10.1109/icnnb.2005.1614637

Google Scholar

[4] Dorigo M, Gambardella L M. Ant colonies for the traveling salesman problem[J]. BioSystems, 1997, (43): 73-81.

DOI: 10.1016/s0303-2647(97)01708-5

Google Scholar

[5] T. Stutzle H.H. Hoos. Max-Min Ant System [J]. Future Generation Computer Systems, 2000, (16): 889-914.

DOI: 10.1016/s0167-739x(00)00043-1

Google Scholar

[6] Chao-Xue Wang, Du-Wu Cui. A Novel Ant Colony System Based on Delaunay Triangulation and Self-adative Mutation for TSP [J]. International Journal of Information Technology, Vol. 12, No. 3, (2006).

Google Scholar

[7] Zhu QingBao, Yang Zhijun. An Ant Colony Optimization Algorithm Based on Mutation and Dynamic Pheromone Updating[J], Journal of Software 2004, 15(2): 185-192.

Google Scholar

[8] Long Zhonghua. Ant colony algorithm in the application of TSP[D]. Xi'an: Chang'an University , (2009).

Google Scholar

[9] Ye Zhiwei, Zheng Zhaobao. The research on the parameter setting: α, β, ρ in the Ant Colony Algorithm-for TSP[J]. Editorial Board of Geomatics and Information Science of Wuhan University, 2004, 29(7): 597-601.

Google Scholar