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Rigorous Analyses for the Combination of Ant Colony Optimization and Local Search

Published: 22 September 2008 Publication History

Abstract

Ant colony optimization (ACO) is a metaheuristic that produces good results for a wide range of combinatorial optimization problems. Often such successful applications use a combination of ACO and local search procedures that improve the solutions constructed by the ants. In this paper, we study this combination from a theoretical point of view and point out situations where introducing local search into an ACO algorithm enhances the optimization process significantly. On the other hand, we illustrate the drawback that such a combination might have by showing that this may prevent an ACO algorithm from obtaining optimal solutions.

References

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Dorigo, M., Stützle, T.: Ant Colony Optimization. MIT Press, Cambridge (2004).
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Hoos, H.H., Stützle, T.: Stochastic Local Search: Foundations & Applications. Elsevier/Morgan Kaufmann (2004).
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Levine, J., Ducatelle, F.: Ant colony optimisation and local search for bin packing and cutting stock problems. Journal of the Operational Research Society (2004).
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Balaprakash, P., Birattari, M., Stützle, T., Dorigo, M.: Incremental local search in ant colony optimization: Why it fails for the quadratic assignment problem. In: Proc. of ANTS Workshop 2006, pp. 156-166 (2006).
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Merkle, D., Middendorf, M.: Modeling the dynamics of ant colony optimization. Evolutionary Computation 10, 235-262 (2002).
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Gutjahr, W.J.: On the finite-time dynamics of ant colony optimization. Methodology and Computing in Applied Probability 8, 105-133 (2006).
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Stützle, T., Hoos, H.H.: MAX-MIN ant system. Journal of Future Generation Computer Systems 16, 889-914 (2000).
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Doerr, B., Neumann, F., Sudholt, D., Witt, C.: On the runtime analysis of the 1-ANT ACO algorithm. In: Proc. of GECCO 2007, pp. 33-40. ACM, New York (2007).
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Gutjahr, W.J., Sebastiani, G.: Runtime analysis of ant colony optimization with best-so-far reinforcement. Methodology and Computing in Applied Probability (to appear, 2008).
[10]
Neumann, F., Sudholt, D., Witt, C.: Comparing variants of MMAS ACO algorithms on pseudo-Boolean functions. In: Stützle, T., Birattari, M., H. Hoos, H. (eds.) SLS 2007. LNCS, vol. 4638, pp. 61-75. Springer, Heidelberg (2007).
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Neumann, F., Witt, C.: Runtime analysis of a simple ant colony optimization algorithm. In: Asano, T. (ed.) ISAAC 2006. LNCS, vol. 4288, pp. 618-627. Springer, Heidelberg (2006).
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Gutjahr, W.J.: First steps to the runtime complexity analysis of ant colony optimization. Computers and Operations Research 35(9), 2711-2727 (2008).

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Published In

cover image Guide Proceedings
ANTS '08: Proceedings of the 6th international conference on Ant Colony Optimization and Swarm Intelligence
September 2008
414 pages

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Springer-Verlag

Berlin, Heidelberg

Publication History

Published: 22 September 2008

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  • (2020)Efficient Metaheuristic Population-Based and Deterministic Algorithm for Resource Provisioning Using Ant Colony Optimization and Spanning TreeInternational Journal of Cloud Applications and Computing10.4018/IJCAC.202004010110:2(1-21)Online publication date: 1-Apr-2020
  • (2016)Theory of Swarm IntelligenceProceedings of the 2016 on Genetic and Evolutionary Computation Conference Companion10.1145/2908961.2926991(715-734)Online publication date: 20-Jul-2016
  • (2015)Theory of Swarm IntelligenceProceedings of the Companion Publication of the 2015 Annual Conference on Genetic and Evolutionary Computation10.1145/2739482.2756570(451-471)Online publication date: 11-Jul-2015
  • (2014)Theory of swarm intelligenceProceedings of the Companion Publication of the 2014 Annual Conference on Genetic and Evolutionary Computation10.1145/2598394.2605354(687-708)Online publication date: 12-Jul-2014
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  • (2012)Theory of swarm intelligenceProceedings of the 14th annual conference companion on Genetic and evolutionary computation10.1145/2330784.2330938(1215-1238)Online publication date: 7-Jul-2012
  • (2012)A Simple Ant Colony Optimizer for Stochastic Shortest Path ProblemsAlgorithmica10.1007/s00453-011-9606-264:4(643-672)Online publication date: 1-Dec-2012
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