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.
The work of D. Sudholt and of C. Witt was supported by the Deutsche Forschungsgemeinschaft (DFG) as a part of the Collaborative Research Center “Computational Intelligence” (SFB 531).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Dorigo, M., Stützle, T.: Ant Colony Optimization. MIT Press, Cambridge (2004)
Hoos, H.H., Stützle, T.: Stochastic Local Search: Foundations & Applications. Elsevier/Morgan Kaufmann (2004)
Levine, J., Ducatelle, F.: Ant colony optimisation and local search for bin packing and cutting stock problems. Journal of the Operational Research Society (2004)
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)
Merkle, D., Middendorf, M.: Modeling the dynamics of ant colony optimization. Evolutionary Computation 10, 235–262 (2002)
Gutjahr, W.J.: On the finite-time dynamics of ant colony optimization. Methodology and Computing in Applied Probability 8, 105–133 (2006)
Stützle, T., Hoos, H.H.: MAX-MIN ant system. Journal of Future Generation Computer Systems 16, 889–914 (2000)
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)
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)
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)
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)
Gutjahr, W.J.: First steps to the runtime complexity analysis of ant colony optimization. Computers and Operations Research 35(9), 2711–2727 (2008)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Neumann, F., Sudholt, D., Witt, C. (2008). Rigorous Analyses for the Combination of Ant Colony Optimization and Local Search. In: Dorigo, M., Birattari, M., Blum, C., Clerc, M., Stützle, T., Winfield, A.F.T. (eds) Ant Colony Optimization and Swarm Intelligence. ANTS 2008. Lecture Notes in Computer Science, vol 5217. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-87527-7_12
Download citation
DOI: https://doi.org/10.1007/978-3-540-87527-7_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-87526-0
Online ISBN: 978-3-540-87527-7
eBook Packages: Computer ScienceComputer Science (R0)