A new algorithm to identify all global maximizers based on simulated annealing

In this work we consider the problem of finding all the global maximizers of a given nonlinear 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 defi...

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Detalhes bibliográficos
Autor principal: Pereira, Ana I. (author)
Outros Autores: Fernandes, Edite M.G.P. (author)
Formato: conferenceObject
Idioma:eng
Publicado em: 2010
Assuntos:
Texto completo:http://hdl.handle.net/10198/1632
País:Portugal
Oai:oai:bibliotecadigital.ipb.pt:10198/1632
Descrição
Resumo:In this work we consider the problem of finding all the global maximizers of a given nonlinear 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. To find the global maximizers, we apply the SA algorithm to the sequence of maximization problems. 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.