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Solving geometric TSP with ants

Published: 25 June 2005 Publication History

Abstract

This paper presents an ant-based approach for solving the Traveling Salesman Problem (TSP). Novel concepts of this algorithm that distinguish it from the other heuristics are the inclusion of a preprocessing stage and the use of a modified version of an ant-based approach with local optimization in multi stages. Experimental results show that this algorithm outperforms ACS [1] and is comparable to MMAS [4] for Euclidean TSP instances. Of the 40 instances of Euclidean TSP from TSPLIB [5] that were tested, this algorithm found the optimal solution for 37 instances. For the remaining instances, this algorithm returned solutions that were within 0.3% of the optimum.

References

[1]
Dorigo, M. and L. Gambardella, "Ant Colony System: A Cooperative Learning Approach to the Traveling Salesman Problem," IEEE Transactions on Evolutionary Computation, 1(1), 1997, pp. 53--66.
[2]
Bentley, J.L., "Fast Algorithms for Geometric Traveling Salesman Problems," ORSA Journal on Computing, 4(4), 1992, pp. 387--411.
[3]
Fredman, M. L., D. S. Johnson, L. A. McGeoch, and G. Ostheimer, "Data Structures for Traveling Salesmen," Journal of Algorithms, 18, 1995, pp. 432--479.
[4]
Stutzle, T. and H. Hoos, "Improvements on the Ant-System : Introducing the MAX-MIN Ant System," Proceedings of Artificial Neural Nets and Genetic Algorithms, Springer Verlag, Wien, Austria, 1998, pp. 245--249.
[5]
TSPLIB: Library of Sample Instances for the TSP. University of Heilderberg, Department of Computer Science, February 2005, http://www.iwr.uni-heidelberg.de/groups/comopt/software/TSPLIB95/.

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  • (2016)Virtual training of fire wardens through immersive 3D environmentsProceedings of the 21st International Conference on Web3D Technology10.1145/2945292.2945296(43-50)Online publication date: 22-Jul-2016

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cover image ACM Conferences
GECCO '05: Proceedings of the 7th annual conference on Genetic and evolutionary computation
June 2005
2272 pages
ISBN:1595930108
DOI:10.1145/1068009
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Association for Computing Machinery

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Publication History

Published: 25 June 2005

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  1. ant system
  2. traveling salesman problem

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Overall Acceptance Rate 1,669 of 4,410 submissions, 38%

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Cited By

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  • (2016)Virtual training of fire wardens through immersive 3D environmentsProceedings of the 21st International Conference on Web3D Technology10.1145/2945292.2945296(43-50)Online publication date: 22-Jul-2016

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