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基于径向基函数的DIRECT全局优化方法

魏昕 吴义忠 陈立平

华中科技大学学报:自然科学版2012,Vol.40Issue(5):6-9,4.
华中科技大学学报:自然科学版2012,Vol.40Issue(5):6-9,4.

基于径向基函数的DIRECT全局优化方法

DIRECT global optimization method using radial basis functions

魏昕 1吴义忠 1陈立平1

作者信息

  • 1. 华中科技大学国家企业信息化CAD应用支撑软件工程技术研究中心,湖北武汉430074
  • 折叠

摘要

Abstract

As more evaluations of objective functions and slow convergence rate exist in DIRECT,thus a modified DIRECT method based on radial basis functions was proposed.The optimum area containing the global or local optimum was identified through analyzing the information of sampling points.The convergence rate of DIRECT method was increased through constructing the radial basis functions on the sampling points which collected from optimum area and searching global optimum on the metamodel.Finally,the method was applied to some numerical examples and a pressure vessel design.The results demonstrate the efficiency and engineering practicability of the presented method.

关键词

全局优化/细分矩形方法/元模型/径向基函数/确定性优化

Key words

global optimization/dividing rectangles method/metamodel/radial basis function(RBF)/deterministic optimization

分类

机械工程

引用本文复制引用

魏昕,吴义忠,陈立平..基于径向基函数的DIRECT全局优化方法[J].华中科技大学学报:自然科学版,2012,40(5):6-9,4.

基金项目

国家自然科学基金资助项目 ()

华中科技大学学报:自然科学版

OA北大核心CSCDCSTPCD

1671-4512

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