Abstract
It is typical for the EA community that theory follows experiments. Most theoretical approaches use some model of the considered evolutionary algorithm (EA) but there is also some progress where the expected optimization time of EAs is analyzed rigorously. There are only three well-known problems of combinatorial optimization where such an approach has been performed for general input instances, namely minimum spanning trees, shortest paths, and maximum matchings. The theoretical results are asymptotic ones and several questions for realistic dimensions of the search space are open. We supplement the theoretical results by experimental ones. Many hypotheses are confirmed by rigorous statistical tests.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Atallah, M.J. (ed.): Algorithms and Theory of Computation Handbook. CRC Press, Boca Raton (1999)
Feige, U., Kilian, J.: Heuristics for semirandom graph problems. Journal of Computer and System Sciences 63, 639–671 (2000)
Feige, U., Krauthgamer, R.: Finding and certifying a large hidden clique in a semirandom graph. Random Structures and Algorithms 16, 195–208 (2000)
Feller, W.: An Introduction to Probability Theory and Its Applications. John Wiley & Sons, Chichester (1968)
Giel, O., Wegener, I.: Evolutionary algorithms and the maximum matching problem. In: Alt, H., Habib, M. (eds.) STACS 2003. LNCS, vol. 2607, pp. 415–426. Springer, Heidelberg (2003)
Neumann, F., Wegener, I.: Randomized local search, evolutionary algorithms, and the minimum spanning tree problem. In: Deb, K., et al. (eds.) GECCO 2004. LNCS, vol. 3102, pp. 713–724. Springer, Heidelberg (2004)
Raidl, G.R., Julstrom, B.A.: Edge sets: an effective evolutionary coding of spanning trees. IEEE Trans. on Evolutionary Computation 7, 225–239 (2003)
Rothlauf, F.: Representations for Genetic and Evolutionary Algorithms. Physica- Verlag, Heidelberg (2002)
Scharnow, J., Tinnefeld, K., Wegener, I.: Fitness landscapes based on sorting and shortest paths problems. In: Guervós, J.J.M., Adamidis, P.A., Beyer, H.-G., Fernández-Villacañas, J.-L., Schwefel, H.-P. (eds.) PPSN 2002. LNCS, vol. 2439, pp. 54–63. Springer, Heidelberg (2002)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Briest, P. et al. (2004). Experimental Supplements to the Theoretical Analysis of EAs on Problems from Combinatorial Optimization. In: Yao, X., et al. Parallel Problem Solving from Nature - PPSN VIII. PPSN 2004. Lecture Notes in Computer Science, vol 3242. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30217-9_3
Download citation
DOI: https://doi.org/10.1007/978-3-540-30217-9_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-23092-2
Online ISBN: 978-3-540-30217-9
eBook Packages: Springer Book Archive