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Elitist Ant System with 2-opt Local Search for the Traveling Salesman ProblemMARTINOVIC, G. , BAJER, D.
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2-opt algorithm, elitist ant system, local search, Traveling Salesman Problem, search stagnation
optimization(10), problem(7), colony(7), traveling(6), salesman(6), algorithm(6), stutzle(4), local(4), dorigo(4), computational(4)
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About this article
Date of Publication: 2012-02-28
Volume 12, Issue 1, Year 2012, On page(s): 25 - 32
ISSN: 1582-7445, e-ISSN: 1844-7600
Digital Object Identifier: 10.4316/AECE.2012.01005
Web of Science Accession Number: 000301075000005
SCOPUS ID: 84860778058
The Traveling Salesman Problem is one of the most famous problems in combinatorial optimization. The paper presents an algorithm based upon the elitist ant system for solving the traveling salesman problem. 2-opt local search is incorporated in the elitist ant system, and it is used for improvement of a given number of solutions previously constructed by artificial ants. A simple mechanism for avoiding a too early stagnation of the search is also proposed. The aforementioned is based on depositing strong pheromones on solution edges of randomly selected ants called random elitist ants. The aim is to encourage exploration in a greater area of the solution space. Experimental analysis shows how high-quality solutions can be achieved by using the considered algorithm instead of the usual elitist ant system with incorporated 2-opt local search.
|References|||||Cited By «-- Click to see who has cited this paper|
| D. L. Applegate, R. E. Bixby, V. Chvatal and W. J. Cook. The Traveling Salesman Problem: A computational study. Princeton University Press, 2006.
 S. Consoli, K. Darby-Dowman, "Combinatorial optimization and metaheuristics", Annals of Operations Research, vol. 140, no. 1, pp. 189-213, 2007. [Handle]
 Metaheuristics Network, Project Summary, [Online] Available: Temporary on-line reference link removed - see the PDF document
 D. S. Johnson, L. A. McGeoch, "The Traveling Salesman Problem: A case study in local optimization", in: E. H. L. Aarts, J. K. Lenstra." Local Search in Combinatorial Optimization". John Wiley and Sons, 1997, pp. 215-310.
 F. Greco (Ed.). Traveling Salesman Problem. In-Tech, 2008.
 M. Yoshikawa, T. Nagura, "Adaptive Ant Colony Optimization considering intensification and diversification", in Proc. of Int. MultiConf. of Engineers and Computer Scientists, Vol. 1, Hong Kong, 2009, pp. 200-203.
 L. Wong, M. Y-H. Low, C. S. Chong, "Bee Colony Optimization with local search for Traveling Salesman Problem", Int. J. on Artificial Intelligence Tools, vol. 19, no. 3, pp. 305-334, Jun. 2010.
[CrossRef] [Web of Science Times Cited 28] [SCOPUS Times Cited 36]
 H. Shah-Hosseini, "The Intelligent Water Drops algorithm: A nature-inspired swarm-based optimization algorithm", Int. J. Bio-Inspired Computation, vol. 1, no. 1/2, pp. 71-79, 2009.
[CrossRef] [SCOPUS Times Cited 277]
 M. Djordjevic, M. Tuba, B. Djordjevic, "Impact of grafting a 2-opt algorithm based local searcher into the genetic algorithm", in Proc. of 9th WSEAS Int. Conf. on Applied Informatics and Communications, Moscow, pp. 485-490.
 G. A. Jayalakshmi, S. Sathiamoorthy, R. Rajaram, "A hybrid genetic algorithm - A new approach to solve Traveling Salesman Problem", Int. J. of Computational Engineering Science, vol. 2, no. 2, pp. 339-355, Jun. 2001.
 G. Martinovic, I. Aleksi, A. Baumgartner, "Single-Commodity Vehicle Routing Problem with Pickup and Delivery Service", Mathematical Problems in Engineering, vol. 2008, Art. no. 697981, pp. 1-17, 2008.
[CrossRef] [Web of Science Times Cited 20] [SCOPUS Times Cited 25]
 M. Dorigo, T. Stutzle. Ant Colony Optimization. MIT Press, 2004.
 O. Cordon, F. Herrera, T. Stutzle, "A review on the Ant Colony Optimization metaheuristic: Basis, models and new trends", Mathware & Soft Computing, vol. 9, no. 3, pp. 141-175, 2002.
 M. Dorigo, M. Birattari, T. Stutzle, "Ant Colony Optimization -Artificial ants as a computational intelligence technique", IEEE Computational Intelligence Mag., vol. 1, no. 4, pp. 28-39, 2006.
 M. Dorigo, V. Maniezzo, A. Colorni, "Ant System: optimization by a colony of cooperating agents", IEEE Trans. on Systems, Man and Cybernetics-Part B, vol. 26, no. 1, pp. 29-41, Feb. 1996.
[CrossRef] [Web of Science Times Cited 6072] [SCOPUS Times Cited 8190]
 M. Englert, H. Rölin, B. Vöcking, "Worst case and probabilistic analysis of the 2-opt algorithm for the TSP", in Proc. of 18th Annu. ACM-SIAM Symposium on Discrete Algorithms, New Orleans, 2007, pp. 1295-1304.
 T. Stutzle, H. H. Hoos, "MAX-MIN Ant System", Future Generation Computer Systems, vol. 16, no. 8, pp. 889-914, Jun. 2000.
 M. Dorigo, L. M. Gambardella, "Ant Colony System: A cooperative learning approach to the Traveling Salesman Problem", IEEE Trans. on Evolutionary Computation, vol. 1, no. 1, pp. 53-66, Apr. 1997.
[CrossRef] [SCOPUS Times Cited 5735]
 Ruprecht-Karls-Universität Heidelberg, TSPLIB, [Online] Available: Temporary on-line reference link removed - see the PDF document
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