中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
On the Convergence Rate and Expected First Fitting Time of Elitist Evolutionary Algorithms

文献类型:期刊论文

作者Chen, Ming1,2; Ding, Lixin1; Lei, Yunwen1; Tan, Qiuheng3
刊名INFORMATION-AN INTERNATIONAL INTERDISCIPLINARY JOURNAL
出版日期2012
卷号15期号:1页码:283-296
关键词Evolutionary algorithms Revised spectral radius Convergence rates Expected first hitting time
英文摘要This article studies theoretical topics of finite absorbing Markov chains describing evolutionary algorithms (EAs in short) coupled with elitism. Firstly, by means of spectrum analysis we generalize the conclusion that the convergence rate of an EA is determined by the revised spectral radius of corresponding transition matrix. Beyond relatively strict assumptions of previous works, the determination holds if 1 is the strictly maximal module eigenvalue and has equal algebraic and geometric multiplicities. As an application, a case with multiple recurrent classes is analyzed. Secondly, we drive a direct relation about both exact expressions of the expected first hitting time (EFHT) and convergence rates under another measurement. Also, bounds of EFHT are evaluated with simple forms. The feasibleness is verified by several EAs on Trap problem.
WOS标题词Science & Technology ; Technology
类目[WOS]Engineering, Multidisciplinary
研究领域[WOS]Engineering
关键词[WOS]GENETIC ALGORITHMS
收录类别SCI
语种英语
WOS记录号WOS:000301809700031
公开日期2016-05-09
源URL[http://ir.wipm.ac.cn/handle/112942/1602]  
专题武汉物理与数学研究所_原子分子光物理研究部
作者单位1.Wuhan Univ, State Key Lab Software Engn, Wuhan 430072, Peoples R China
2.Hunan Normal Univ, Coll Math & Comp Sci, Changsha 410081, Hunan, Peoples R China
3.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China
推荐引用方式
GB/T 7714
Chen, Ming,Ding, Lixin,Lei, Yunwen,et al. On the Convergence Rate and Expected First Fitting Time of Elitist Evolutionary Algorithms[J]. INFORMATION-AN INTERNATIONAL INTERDISCIPLINARY JOURNAL,2012,15(1):283-296.
APA Chen, Ming,Ding, Lixin,Lei, Yunwen,&Tan, Qiuheng.(2012).On the Convergence Rate and Expected First Fitting Time of Elitist Evolutionary Algorithms.INFORMATION-AN INTERNATIONAL INTERDISCIPLINARY JOURNAL,15(1),283-296.
MLA Chen, Ming,et al."On the Convergence Rate and Expected First Fitting Time of Elitist Evolutionary Algorithms".INFORMATION-AN INTERNATIONAL INTERDISCIPLINARY JOURNAL 15.1(2012):283-296.

入库方式: OAI收割

来源:武汉物理与数学研究所

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