Abstract
In this paper, a class of continuous Estimation of Distribution Algorithms (EDAs) based on Gaussian models is analyzed to investigate their potential for solving dynamic optimization problems where the global optima may change dramatically during time. Experimental results on a number of dynamic problems show that the proposed strategy for dynamic optimization can significantly improve the performance of the original EDAs and the optimal solutions can be consistently located.
Similar content being viewed by others
References
Bäck, T., Fogel, D.B., Michalewicz, Z.: Handbook of Evolutionary Computation. IOP Publishing Ltd and Oxford University Press, New York (1997)
Baluja, S., Davies, S.: Using Optimal Dependency-Trees for Combinatorial Optimization: Learning the Structure of the Search Space. In: Fourteenth International Conference on Machine Learning, pp. 30–38 (1997)
De Bonet, J.S., Isbell, C.L., Viola, P.: MIMIC: Finding Optima by Estimating Probability Densities. In: Advances in Neural Information Processing Systems, vol. 9. MIT, Cambridge, pp. 424–430 (1997)
Eiben, A.E., Jelasity, M.: A critical note on experimental research methodology in EC. In: Congress on Evolutionary Computation, pp. 582–587 (2002)
Gallagher, M., Yuan, B.: A general-purpose tunable landscape generator. IEEE Trans. Evol. Comput. 10(5), 590–603 (2006)
Larrañaga, P., Etxeberria, R., Lozano, J.A., Pena, J.M.: Optimization by learning and simulation of Bayesian and Gaussian networks. Research Report EHU-kZAA-IK-4/99, University of the Basque Country (1999)
Larrañaga, P., Lozano, J.A.: Estimation of Distribution Algorithms: A New Tool for Evolutionary Computation. Kluwer, Dordrecht (2001)
Larrañaga, P., Lozano, J.A., Bengoetxea, E.: Estimation of Distribution Algorithms based on multivariate normal and Gaussian networks. Technical Report KZZA-IK-1-01, University of the Basque Country (2001)
Pelikan, M.: Bayesian optimization algorithm: from single level to hierarchy. Ph.D. Thesis, University of Illinois at Urbana-Champaign (2002)
Pelikan, M.: Hierarchical Bayesian Optimization Algorithm: Toward a New Generation of Evolutionary Algorithms. Springer, Heidelberg (2005)
Whitley, D., Mathias, K., Rana, S., Dzubera, J.: Evaluating evolutionary algorithms. Artif. Intell. 85(1–2), 245–276 (1996)
Wolpert, D.H., Macready, W.G.: No free lunch theorems for optimization. IEEE Trans. Evol. Comput. 1(1), 67–82 (1997)
Yang, S.: Memory-based immigrants for genetic algorithms in dynamic environments. In: The 2005 Genetic and Evolutionary Computation Conference, pp. 1115–1122 (2005)
Yang, S., Ong, Y., Jin, Y.: Evolutionary computation in dynamic and uncertain environments. In: Studies in Computational Intelligence, vol. 51. Springer, Heidelberg (2007)
Yang, S., Yao, X.: Experimental study on population-based incremental learning algorithms for dynamic optimization problems. Soft Comput. 9(11), 815–834 (2005)
Yuan, B., Gallagher, M.: Experimental results for the special session on real-parameter optimization at CEC 2005: a simple, continuous EDA. In: Congress on Evolutionary Computation 2005, pp.~1792–1799 (2005)
Yuan, B., Gallagher, M.: A mathematical modelling technique for the analysis of the dynamics of a simple continuous EDA. In: The 2006 Congress on Evolutionary Computation, pp. 1585–1591 (2006)
Yuan, B., Gallagher, M.: On the importance of diversity maintenance in estimation of distribution algorithms. In: The 2005 Genetic and Evolutionary Computation Conference, pp. 719–726 (2005)
Yuan, B., Orlowska, M., Sadiq, S.: Finding the optimal path in 3D spaces using EDAs–the wireless sensor networks scenario. In: The 8th International Conference on Adaptive and Natural Computing Algorithms, pp. 536–545 (2007)
Yuan, B., Orlowska, M., Sadiq, S.: On the optimal robot routing problem in wireless sensor networks. IEEE Trans. Knowl. Data Eng. 19(9), 1252–1261 (2007)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Yuan, B., Orlowska, M. & Sadiq, S. Extending a class of continuous estimation of distribution algorithms to dynamic problems. Optimization Letters 2, 433–443 (2008). https://doi.org/10.1007/s11590-007-0071-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11590-007-0071-4