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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