基于改进蚁群算法求解连续空间寻优问题

广西师范大学学报（自然科学版） ›› 2013, Vol. 31 ›› Issue (2): 34-38.

基于改进蚁群算法求解连续空间寻优问题

黄敏¹, 靳婷^1,2, 钟声¹, 马玉春³

1.海南大学信息科学技术学院,海南海口570228;
2.复旦大学计算机科学与技术学院,上海200438;
3.琼州学院电子信息工程学院,海南三亚572022

收稿日期:2013-01-15 出版日期:2013-06-20 发布日期:2018-11-26
通讯作者: 靳婷(1982—),女,天津塘沽人,复旦大学博士研究生。E-mail:tingj@fudan.edu.cn
基金资助:
国家自然科学基金资助项目(61073189);海南省自然科学基金资助项目(610224);海南省社会发展专项基金资助项目(2010SF004);海南省教育厅高等学校科研项目(Hjkj2010-40)

Ant Colony Algorithm for Solving Continuous Function Optimization Problem Based on Pheromone Distributive Function

HUANG Min¹, JIN Ting^1,2, ZHONG Sheng¹, MA Yu-chun³

1.College of Information Science and Technology,Hainan University,Haikou Hainan 570228,China;
2.School of Computer Science and Technology,Fudan University,Shanghai 200438,China;
3.Department of Electronic and Information Engineering,Qiongzhou University,Sanya Hainan 572022,China

Received:2013-01-15 Online:2013-06-20 Published:2018-11-26

摘要/Abstract

摘要： 蚁群算法是近几年优化领域中出现的一种启发式仿生类并行智能进化算法,并在离散空间领域中得到广泛应用,但在求解连续空间优化问题方面的研究相对较少。为了克服蚁群算法在连续空间中搜索时间过长等缺点,在原有的连续空间寻优方法的基础上,提出了一种用于求解连续空间寻优问题的改进蚁群算法。针对各子区间内的总信息量及应有的蚁数的求解方式进行改进,引入一个随迭代次数增加而变化的函数,以提高改进后蚁群算法的收敛速度。仿真实验表明,提出的基于信息量分布函数的改进蚁群算法较有关文献的算法有更好的收敛性能,从而为蚁群算法求解这类问题提供了一种可行有效的新方法。

关键词: 蚁群算法, 连续空间寻优, 信息量

Abstract: Ant colony algorithm,in recent years,emerges as a novel approach of bionic meta-heuristic algorithm in the field of optimization.Though it is widely applied in the discrete space area,it is relatively less researched in solving continuous function optimization.Aiming at overcoming the shortage of long time in searching for continuous function with ant colony algorithm,the paper proposes an improved ant colony algorithm for solving continuous function optimization,which is based on the original methods of continuous function optimization.The improvement is directed against the total amount of pheromone and size of ant colony within all the subintervals.It leads-in a function that varieswith increase of the iterations,in the hope of increasing the convergence speed of ant colony algorithm after its improvement.And numerical simulation results indicate that,comparing with the algorithm proposed by References,thisimproved algorithm offers better solution for continuous space optimization problems,hence it is an effective new way to solve problems alike.

Key words: ant colony algorithm, continuous function optimization, pheromone

中图分类号:

TP18

黄敏, 靳婷, 钟声, 马玉春. 基于改进蚁群算法求解连续空间寻优问题[J]. 广西师范大学学报（自然科学版）, 2013, 31(2): 34-38.

HUANG Min, JIN Ting, ZHONG Sheng, MA Yu-chun. Ant Colony Algorithm for Solving Continuous Function Optimization Problem Based on Pheromone Distributive Function[J]. Journal of Guangxi Normal University(Natural Science Edition), 2013, 31(2): 34-38.

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