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Alternative TitleResearch on the A.S.Convergence Properties of BasicAnt Colony Algor ithm
段海滨; 王道波; 于秀芬; 北京8701信箱
Source Publication应用基础与工程科学学报
Keyword蚁群算法 信息素 a.s.收敛性 markov链 离散鞅 首达时间
Other AbstractAnt colony algorithm is a novel category of bionic meta-heuristic algorithm.Although ant colony algorithm for the heuristic solution of combinational op timization problems enjoy a rap idly growing popularity,but little is known about its convergence properties, especially its A.S.(almost surely) convergence properties.In this paper,we are concerned specifically with the A.S.convergence properties of the basic ant colony algorithm. Based on the introduction of the principle of basic ant colony algorithm,theoretical proof for the A.S.convergence p roperties of the basic ant colony algorithm is conducted by using Markov chains and martingale.The convergence properties of the pheromone trail vector is studied by changing the optimum solution set sequence into the submartingale sequence.Finally,the definition of the first passage time for the basic ant colony algorithm is proposed.Meanwhile,the theoretical analysis for the expected values of the first passage time is also performed in this paper.
Funding Project中国科学院空间科学与应用研究中心
Document Type期刊论文
Corresponding Author北京8701信箱
Recommended Citation
GB/T 7714
段海滨,王道波,于秀芬,等. 基本蚁群算法的A.S.收敛性研究[J]. 应用基础与工程科学学报,2006,14(2):297-301.
APA 段海滨,王道波,于秀芬,&北京8701信箱.(2006).基本蚁群算法的A.S.收敛性研究.应用基础与工程科学学报,14(2),297-301.
MLA 段海滨,et al."基本蚁群算法的A.S.收敛性研究".应用基础与工程科学学报 14.2(2006):297-301.
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