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全局最优的邻域估计
引用本文:杨启文,杨远慧,薛云灿,曹国平.全局最优的邻域估计[J].控制与决策,2012,27(8):1269-1272.
作者姓名:杨启文  杨远慧  薛云灿  曹国平
作者单位:河海大学计算机与信息学院,江苏常州213022 河海大学江苏省输配电装备技术重点实验室,江苏常州213022
基金项目:国家自然科学基金项目(61074056);江苏省自然科学基金项目(BK2010201)
摘    要:为了实现全局最优的快速搜索,对全局最优所处的范围进行预估非常关键.受沙盘重心的力平衡关系启发,提出基于重心定位的全局最优邻域估计方法.利用空间变换技术,将寻优空间的重心"移"至全局最优附近;在重心逐次"移"动过程中,以重心为几何中心,构造一个范围不断缩小的全局最优邻域.函数测试和工程应用表明,所提出方法能以较小的种群和迭代次数确定全局最优的有效邻域范围.

关 键 词:沙盘模型  全局优化  重心  邻域
收稿时间:2010/12/24 0:00:00
修稿时间:2011/5/17 0:00:00

Prospecting neighborhood of global optimum
YANG Qi-wen,YANG Yuan-hui,XUE Yun-can,CAO Guo-ping.Prospecting neighborhood of global optimum[J].Control and Decision,2012,27(8):1269-1272.
Authors:YANG Qi-wen  YANG Yuan-hui  XUE Yun-can  CAO Guo-ping
Affiliation:(a.College of Computer and Information,b.Jiangsu Key Laboratory of Power Transmission and Distribution Equipment Technology,Hohai University,Changzhou 213022,China.)
Abstract:In order to find the global optimum,it’s crucial to prospect its neighborhood of global optimum(NGO).Inspired by force balance relationship of the gravity center(GC) of a sand table,a method of prospecting NGO based on GC is presented in this paper.Firstly,space transformation technique is used such that the GC of the optimization space can be "moved" close to the NGO.Then,the NGO whose geometric center is the "moving" GC narrows down gradually.Experiment results of function test and engineering application show that the NGO can be determined effectively with small population size within less iterations by using the proposed method.
Keywords:sand table model  global optimization  gravity center  neighborhood
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