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Advisor(s)
Abstract(s)
In this work we consider the problem of finding all the global maximizers of a given multimodal optimization problem. We propose a new algorithm that combines the simulated annealing (SA) method with a function stretching technique to generate a sequence of global maximization problems that are defined whenever a new maximizer is identified. Each global maximizer is located through a variant of the SA algorithm. Results of numerical experiments with a set of well-known test problems show that the proposed method is effective. We also compare the performance of our algorithm with other multi-global optimizers.
Description
Work partially supported by FCT grant POCTI/MAT/58957/2004.
Keywords
Global optimization Simulated annealing Multimodal optimization
Citation
Pereira, Ana I.; Fernandes, Edite M.G.P. (2006). A stretched simulated annealing algorithm for locating all global maximizers. In Proceedings of 2006 Conference on Computational and Mathematical Methods on Science and Engineering, R. Criado, D. Estep, M.A. Pérez Garcia e J. Vigo-Aguiar (Eds.), Volume II (2006), p.520-542.