Nonlinear numerical optimization with use of a hybrid Genetic Algorithm incorporating the Modified Powell method

Masahiro Okamoto; Taisuke Nonaka; Shuichiro Ochiai; Daisuke Tominaga

doi:10.1016/S0096-3003(97)10007-8

Nonlinear numerical optimization with use of a hybrid Genetic Algorithm incorporating the Modified Powell method

Masahiro Okamoto, Taisuke Nonaka, Shuichiro Ochiai, Daisuke Tominaga

Research output: Contribution to journal › Article › peer-review

34 Citations (Scopus)

Abstract

We propose the hybrid numerical optimization technique which incorporates the Genetic Algorithm (GA) into the Modified Powell method. Escaping from trapping in the local minimum, this procedure can seek out the global minimum with considerably fast convergence. The effectiveness was shown especially for the minimum search problem of a variable-separable multi peak (bottom) function having over 20 000 local minima within the parameter searching region.

Original language	English
Pages (from-to)	63-72
Number of pages	10
Journal	Applied Mathematics and Computation
Volume	91
Issue number	1
DOIs	https://doi.org/10.1016/S0096-3003(97)10007-8
Publication status	Published - 1998
Externally published	Yes

All Science Journal Classification (ASJC) codes

Computational Mathematics
Applied Mathematics

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10.1016/S0096-3003(97)10007-8

Cite this

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abstract = "We propose the hybrid numerical optimization technique which incorporates the Genetic Algorithm (GA) into the Modified Powell method. Escaping from trapping in the local minimum, this procedure can seek out the global minimum with considerably fast convergence. The effectiveness was shown especially for the minimum search problem of a variable-separable multi peak (bottom) function having over 20 000 local minima within the parameter searching region.",

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AU - Tominaga, Daisuke

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AB - We propose the hybrid numerical optimization technique which incorporates the Genetic Algorithm (GA) into the Modified Powell method. Escaping from trapping in the local minimum, this procedure can seek out the global minimum with considerably fast convergence. The effectiveness was shown especially for the minimum search problem of a variable-separable multi peak (bottom) function having over 20 000 local minima within the parameter searching region.

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Nonlinear numerical optimization with use of a hybrid Genetic Algorithm incorporating the Modified Powell method

Abstract

All Science Journal Classification (ASJC) codes

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