Abstract
Evolutionary Algorithms (EAs) are a useful tool to tackle real-world optimisation problems. Two important features that make these problems hard are multimodality and high dimensionality of the search landscape.
In this paper, we present a real-parameter Genetic Algorithm (GA) which is effective in optimising high dimensional, multimodal functions. We compare our algorithm with two previously published GAs which the authors claim gives good results for high dimensional, multimodal functions. For problems with only few local optima, our algorithm does not perform as well as one of the other algorithm. However, for problems with very many local optima, our algorithm performed significantly better. A wider comparison is made with previously published algorithms showing that our algorithm has the best performance for the hardest function tested.
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
Ballester, P.J., Carter, J.N.: Real-parameter genetic algorithms for finding multiple optimal solutions in multi-modal optimization. In: Cantú-Paz, E., Foster, J.A., Deb, K., Davis, L., Roy, R., O’Reilly, U.-M., Beyer, H.-G., Kendall, G., Wilson, S.W., Harman, M., Wegener, J., Dasgupta, D., Potter, M.A., Schultz, A., Dowsland, K.A., Jonoska, N., Miller, J., Standish, R.K. (eds.) GECCO 2003. LNCS, vol. 2723, Springer, Heidelberg (2003)
Deb, K., Anand, A., Joshi, D.: A computationally efficient evolutionary algorithm for real-parameter optimization. Evolutionary Computation 10, 371–395 (2002)
Ballester, P.J., Carter, J.N.: An effective real-parameter genetic algorithms for multimodal optimization. In: Parmee, I.C. (ed.) Proceedings of the Adaptive Computing in Design and Manufacture VI (2004) (in press)
Carter, J.N., Ballester, P.J., Tavassoli, Z., King, P.R.: Our calibrated model has no predictive value: An example from the petroleum industry. In: Proceedings of the Sensitivity Analysis and Model Output Conference (SAMO 2004), Santa Fe, New Mexico, U.S.A. (2004) (in press)
Whitley, D., Watson, J., Howe, A., Barbulescu, L.: Testing, evaluation and performance of optimization and learning systems. In: Parmee, I.C. (ed.) Proceedings of the Adaptive Computing in Design and Manufacture V, pp. 27–39. Springer, Heidelberg (2002)
Fogel, D.B., Beyer, H.G.: A note on the empirical evaluation of intermediate recombination. Evolutionary Computation 3, 491–495 (1996)
Eiben, A.E., Bäck, T.: Empirical investigation of multiparent recombination operators in evolution strategies. Evolutionary Computation 5, 347–365 (1998)
Chellapilla, K., Fogel, D.B.: Fitness distributions in evolutionary computation: Analysis of local extrema in the continuous domain. In: Angeline, P.J., Michalewicz, Z., Schoenauer, M., Yao, X., Zalzala, A. (eds.) Proceedings of the Congress on Evolutionary Computation, Mayflower Hotel, Washington D.C., USA, vol. 3, pp. 1885–1892. IEEE Press, Los Alamitos (1999)
Patton, A.L., Goodman, E.D.: Scheduling variance loss using population level annealing for evolutionary computation. In: Angeline, P.J., Michalewicz, Z., Schoenauer, M., Yao, X., Zalzala, A. (eds.) Proceedings of the Congress of Evolutionary Computation, Mayflower Hotel, Washington D.C., USA, vol. 1, pp. 760–767. IEEE Press, Los Alamitos (1999)
Deb, K., Beyer, H.G.: Self-adaptive genetic algorithms with simulated binary crossover. Evolutionary Computation 9, 197–221 (2001)
Mengshoel, O., Goldberg, D.: Probabilistic crowding: Deterministic crowding with probabilistic replacement. In: Banzhaf, W., Daida, J., Eiben, A., Garzon, M. (eds.) Proceedings of the Genetic and Evolutionary Computation Conference, pp. 409–416. Morgan Kaufmann, San Francisco (1999)
Deb, K., Agrawal, S.: Simulated binary crossover for continous search space. Complex Systems 9, 115–148 (1995)
Deb, K., Kumar, A.: Real-coded genetic algorithms with simulated binary crossover: Studies on multi-modal and multi-objective problems. Complex Systems 9, 431–454 (1995)
KanGAL: (January 2004), http://www.iitk.ac.in/kangal/soft.htm
Storn, R., Price, K.: Differential evolution a simple and efficient heuristic for global optimisation over continuous spaces. Journal of Global Optimization 11, 341–359 (1997)
Wakunda, J., Zell, A.: Median-selection for parallel steady-state evolution strategies. In: Deb, K., Rudolph, G., Lutton, E., Merelo, J.J., Schoenauer, M., Schwefel, H.-P., Yao, X. (eds.) PPSN 2000. LNCS, vol. 1917, pp. 405–414. Springer, Heidelberg (2000)
Kita, H.: A comparison study of self-adaptation in evolution strategies and realcoded genetic algorithms. Evolutionary Computation 9, 223–241 (2001)
Hansen, N., Ostermeier, A.: Completely derandomized self-adaptation in evolution strategies. Evolutionary Computation 9, 159–195 (2001)
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
Ballester, P.J., Carter, J.N. (2004). An Effective Real-Parameter Genetic Algorithm with Parent Centric Normal Crossover for Multimodal Optimisation. In: Deb, K. (eds) Genetic and Evolutionary Computation – GECCO 2004. GECCO 2004. Lecture Notes in Computer Science, vol 3102. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24854-5_91
Download citation
DOI: https://doi.org/10.1007/978-3-540-24854-5_91
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-22344-3
Online ISBN: 978-3-540-24854-5
eBook Packages: Springer Book Archive