多维连续参数的随机试验蚁群算法优化反演分析

›› 2007, Vol. 28 ›› Issue (12): 2589-2592.

多维连续参数的随机试验蚁群算法优化反演分析

吴祥松，朱合华，李晓军，王士民，徐前卫

同济大学岩土工程重点实验室、地下建筑与工程系，上海200092

收稿日期:2005-11-27 出版日期:2007-12-10 发布日期:2013-10-18
作者简介:吴祥松，男，1977年生，博士生。主要从事岩土及地下工程的研究
基金资助:
上海市重点学科（岩土工程）资助

Stochastic experiment ant colony algorithm used in back analysis of multidimensional continuous parameters

WU Xiang-song, ZHU He-hua, LI Xiao-jun, WANG Shi-min, XU Qian-wei

Key Laboratory of Geotechnical Engineering and Department of Geotechnical Engineering, Tongji University, Shanghai 200092, China

Received:2005-11-27 Online:2007-12-10 Published:2013-10-18

摘要/Abstract

摘要： 针对一般蚁群算法难以求解优化反演中的多维连续参数优化问题，借鉴进化思想，提出随机试验蚁群算法求解多维连续参数全局优化问题的方法。该方法主要运用随机试验求出每个参数的任一水平对目标函数的影响度，以此影响度为蚂蚁选择下一个参数水平的能见度，从而确定参数水平被选中的概率。同时考虑到当参数被划分的水平很多时目标函数收敛较慢的缺点，提出用方差分析法来确定参数的水平对目标函数的影响是否显著，将对目标函数影响不显著的参数水平其信息素设置为很小的值，从而加速目标函数的收敛。通过对一个岩土工程优化实例，表明了该算法的有效性。

关键词: 随机试验, 随机试验蚁群算法, 多维连续空间优化, 方差分析法, 概率搜索

Abstract: For being difficult to solve the problem of multidimensional continuous parameters in the back analysis by the ant colony algorithm, stochastic experiment ant colony algorithm is brought out by the idea of evolution of ant colony algorithm. The method does stochastic experiment to determine the influence of each level of parameter. So the visibility and the probability of each level of parameter is determined by the influence of each level of parameter. At the same time, the analysis of variance is used to make sure whether the level of parameter is important or not. If the level of parameter is not important, then the pheromone is very low, so the speed of the convergence of objective function is accelerated. The validity of the method is proved by an example used in the back analysis of geotechnical engineering.

Key words: stochastic experiment, stochastic experiment ant colony algorithm, multidimensional continuous optimization, analysis of variance, searching by the probability

中图分类号:

TP 183

吴祥松，朱合华，李晓军，王士民，徐前卫. 多维连续参数的随机试验蚁群算法优化反演分析[J]. , 2007, 28(12): 2589-2592.

WU Xiang-song, ZHU He-hua, LI Xiao-jun, WANG Shi-min, XU Qian-wei. Stochastic experiment ant colony algorithm used in back analysis of multidimensional continuous parameters[J]. , 2007, 28(12): 2589-2592.

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