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GENI Ants for the Traveling Salesman Problem

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Abstract

In this paper, the probabilistic nearest neighbor heuristic, which is at the core of classical ant colony systems for the Traveling Salesman Problem, is replaced by an alternative insertion procedure known as the GENI heuristic. The benefits provided by GENI-based ants are empirically demonstrated on a set of benchmark problems, through a comparison with the classical ant colony system and an iterated GENI heuristic.

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References

  • Bonabeau, E., M. Dorigo, and G. Theraulaz. (2000). “Inspiration for Optimization from Social Insect Behavior.” Nature 406, 39-42.

    Article  Google Scholar 

  • Bullnheimer, B., R.F. Hartl, and C. Strauss. (1999). “Applying the Ant System to the Vehicle Routing Problem.” In S. Voss, S. Martello, I.H. Osman, and C. Roucairol (eds.), Meta-Heuristics — Advances and Trends in Local Search Paradigms for Optimization. Kluwer, pp. 285-296.

  • Dorigo, M. (1992). “Optimization, Learning and Natural Algorithms.” Ph.D. Dissertation, Departimento di Elettronica, Politecnico di Milano, Italy (in Italian).

    Google Scholar 

  • Dorigo, M., E. Bonabeau, and G. Theraulaz. (2000). “Ant Algorithms and Stigmergy.” Future Generation Computer Systems 16, 851-871.

    Google Scholar 

  • Dorigo, M. and G. Di Caro. (1999). “The Ant Colony Optimization Meta-Heuristic”, In D. Corne, M. Dorigo, and F. Glover (eds.), New Ideas in Optimization. London, UK: McGraw-Hill, pp. 11-32.

    Google Scholar 

  • Dorigo, M., G. Di Caro, and L.M. Gambardella. (1999). “Ant Algorithms for Discrete Optimization.” Arti-ficial Life 5, 137-172.

    Google Scholar 

  • Dorigo, M. and L.M. Gambardella. (1997). “Ant Colony System: A Cooperative Learning Approach to the Traveling Salesman Problem.” IEEE Transactions on Evolutionary Computation 1, 53-66.

    Article  Google Scholar 

  • Dorigo, M., V. Maniezzo, and A. Colorni. (1996). “Ant System: Optimization by a Colony of Cooperating Agents.” IEEE Transactions on Systems, Man and Cybernetics 26, 29-41.

    Google Scholar 

  • Gambardella, L.-M. and M. Dorigo. (2000). “Ant Colony System Hybridized with a New Local Search for the Sequential Ordering Problem.” INFORMS Journal on Computing 12, 237-255.

    Article  Google Scholar 

  • Gambardella, L.-M., E.D. Taillard, and M. Dorigo. (1999). “Ant Colonies for the Quadratic Assignment Problem.” Journal of the Operational Research Society 50, 167-176.

    Google Scholar 

  • Gendreau, M., A. Hertz, and G. Laporte. (1992). “New Insertion and Postoptimization Procedures for the Traveling Salesman Problem.” Operations Research 40, 1086-1094.

    Google Scholar 

  • Lawler, E.L., J.K. Lenstra, A.H.G. Rinnooy Kan, and D.B. Schmoys (eds.). (1985). The Traveling Salesman Problem. Wiley.

  • Lin, S. (1965). “Computer Solutions of the Traveling Salesman Problem.” Bell System Technical Journal 44, 2245-2269.

    Google Scholar 

  • Reinelt, G. (1991). “TSPLIB — A Traveling Salesman Problem Library.” ORSA Journal on Computing 3, 376-384.

    Google Scholar 

  • Stützle, T. and H.H. Hoos. (2000). “MAX-MIN Ant System.” Future Generation Computer Systems Journal 16, 889-914.

    Google Scholar 

  • Whitley, D. (1989). “The GENITOR Algorithm: Why Rank-Based Allocation of Reproductive Trials Is Best.” In J.D. Schaffer (ed.), Proceedings of the Third International Conference on Genetic Algorithms. Morgan Kaufmann, pp. 116-121.

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Le Louarn, FX., Gendreau, M. & Potvin, JY. GENI Ants for the Traveling Salesman Problem. Ann Oper Res 131, 187–201 (2004). https://doi.org/10.1023/B:ANOR.0000039518.73626.a5

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  • DOI: https://doi.org/10.1023/B:ANOR.0000039518.73626.a5

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