An efficient global optimization algorithm based on augmented radial basis function
In the structural optimization, the accuracy of approximation for the established mathematical model will directly affect the solution efficiency, even the convergence. The global optimization model based on the augmented Gaussian radial basis function h as a high approximation accuracy, but the sol...
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doaj-e501fce1efdd4e3aa9cf76385f75537a2021-04-02T14:56:08ZengEDP SciencesInternational Journal for Simulation and Multidisciplinary Design Optimization1779-627X1779-62882008-01-0121495510.1051/smdo:2008006smdo0608An efficient global optimization algorithm based on augmented radial basis functionSui Yun-KangLi Shan-PoGuo Ying-QiaoIn the structural optimization, the accuracy of approximation for the established mathematical model will directly affect the solution efficiency, even the convergence. The global optimization model based on the augmented Gaussian radial basis function h as a high approximation accuracy, but the solution efficiency will not be increased without a matched optimization algorithm. In this paper, we adopt the information at the interpolating points in large extent and the augmented Gaussian radial basis function to construct the approximate mathematical model. Using the explicit derivatives of the model for the sensitivities and sequential quadratic programming (SQP) algorithm for the optimization solving, an efficient algorithm of global optimization is proposed. It is simple to be realized and converges quickly. Two examples will illustrate the stability and efficiency of the present algorithm.https://www.ijsmdo.org/articles/smdo/pdf/2008/01/smdo0608.pdfstructural optimizationapproximate modelgaussian radial basis functionglobal optimization algorithm |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Sui Yun-Kang Li Shan-Po Guo Ying-Qiao |
spellingShingle |
Sui Yun-Kang Li Shan-Po Guo Ying-Qiao An efficient global optimization algorithm based on augmented radial basis function International Journal for Simulation and Multidisciplinary Design Optimization structural optimization approximate model gaussian radial basis function global optimization algorithm |
author_facet |
Sui Yun-Kang Li Shan-Po Guo Ying-Qiao |
author_sort |
Sui Yun-Kang |
title |
An efficient global optimization algorithm based on augmented radial basis function |
title_short |
An efficient global optimization algorithm based on augmented radial basis function |
title_full |
An efficient global optimization algorithm based on augmented radial basis function |
title_fullStr |
An efficient global optimization algorithm based on augmented radial basis function |
title_full_unstemmed |
An efficient global optimization algorithm based on augmented radial basis function |
title_sort |
efficient global optimization algorithm based on augmented radial basis function |
publisher |
EDP Sciences |
series |
International Journal for Simulation and Multidisciplinary Design Optimization |
issn |
1779-627X 1779-6288 |
publishDate |
2008-01-01 |
description |
In the structural optimization, the accuracy of approximation for the established mathematical model will directly affect the solution efficiency, even the convergence. The global optimization model based on the augmented Gaussian radial basis function h as a high approximation accuracy, but the solution efficiency will not be increased without a matched optimization algorithm. In this paper, we adopt the information at the interpolating points in large extent and the augmented Gaussian radial basis function to construct the approximate mathematical model. Using the explicit derivatives of the model for the sensitivities and sequential quadratic programming (SQP) algorithm for the optimization solving, an efficient algorithm of global optimization is proposed. It is simple to be realized and converges quickly. Two examples will illustrate the stability and efficiency of the present algorithm. |
topic |
structural optimization approximate model gaussian radial basis function global optimization algorithm |
url |
https://www.ijsmdo.org/articles/smdo/pdf/2008/01/smdo0608.pdf |
work_keys_str_mv |
AT suiyunkang anefficientglobaloptimizationalgorithmbasedonaugmentedradialbasisfunction AT lishanpo anefficientglobaloptimizationalgorithmbasedonaugmentedradialbasisfunction AT guoyingqiao anefficientglobaloptimizationalgorithmbasedonaugmentedradialbasisfunction AT suiyunkang efficientglobaloptimizationalgorithmbasedonaugmentedradialbasisfunction AT lishanpo efficientglobaloptimizationalgorithmbasedonaugmentedradialbasisfunction AT guoyingqiao efficientglobaloptimizationalgorithmbasedonaugmentedradialbasisfunction |
_version_ |
1721560987208777728 |