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用双种群进化策略算法求解复函数方程的根 被引量:3

Novel bi-group evolution strategy algorithm for solving complex functional equation.
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摘要 分析了导致进化策略早熟收敛的原因,提出了一种新的双种群进化策略算法,进化分别在两个不同的种群间并行进行,两个种群采用不同的变异算子。将该算法用于求复函数方程的解,该方法具有计算精度高、自适应性强等特点,最后的实例表明该算法优于传统的迭代法、下山法等方法。其目的为求复函数方程的根给出一新算法,该算法在科学与工程计算中有着重要地应用。 Premature convergence is the fatal shortcoming of the traditional evolution strategy.Based on the analysis of premature convergence,a novel hi-group evolution strategy algorithm is proposed,In the new algorithm,evolution of the two groups is parallel performed with different mutation operator respectively.Using the new algorithm to find all roots of complex functional equation, this algorithm has much character such as the solution is in high accuracy,strong adaptability and so on.At last from the examples the authors can know that the novel algorithm is better than the old method such as iterative method,down mountain and so on.The object is to propose a new algorithm for solving complex functional equation.This algorithm has very important application in the computation of scienee and engineering.
出处 《计算机工程与应用》 CSCD 北大核心 2008年第7期78-81,共4页 Computer Engineering and Applications
基金 国家自然科学基金(the National Natural Science Foundation of China under Grant No.60461001) 广西省自然科学基金(the NaturalScience Foundation of Guangxi Province of China under Grant No.0542048) 广西研究生教育创新计划资助项目(No.2007106080701M18) 广西民族大学重大项目资助课题
关键词 双种群 进化策略 复函数方程 高斯变异 柯西变异 bi-group evolution strategy complex functional equation Gaussian mutation Cauchy mutation
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  • 1邢文中 谢金星.现代化计算机方法[M].清华大学出版社,1999..
  • 2[3]Grefenstette J J. Parallel adaptive algorithms for function optimization[R]. Technical Report NO cs-81-19,Nashville:Vanderbilt University,Computer Science Department,1981.
  • 3[4]Muhlenbein H. Evolution in tin and space:the parallel genetic algorithm[A]. Rawline G. Foundation of Genetic Algorithms[C].San Mateo,CA:Morgan Kanfmann,1991.
  • 4[5]Spiessens P,Mandrake B. A massively parallel genetic algorithm:implementation and first analysis[A]. Belew R K,Booker L B. Proc of the Fourth Int Conf on Genetic Algorithms[C].San MATEO,CA:Morgan Kanfmann,1991,279-286.
  • 5[6]Poths J C, Giddens T D, Yadaw S B. The development and evalution of an improved genetic algorithm based on migration and artificial selection[J].IEEE Trans SMC,1994,24(1):73-8.
  • 6[7]Holland J H. Adaptation in Natural and Artificial System[M]. The University of Michigan Press,1975.
  • 7[9]西安交通大学高等数学教研室. 复变函数[M]. 北京:高等教育出版社,1995.
  • 8[10]F.John, Lectures on Advanced Numerical Analysis[M]. Thomas Nelson and Sons ,1996.
  • 9[13]Michalewicz Z. Genetic Algorithms+Data Structures=Evolution Programs[M]. Springer-Verlag,Berlin,1992.
  • 10Yao X,Proc of the Fifth Annual Conferenceon Evolutionary Programming,1996年

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  • 1陈志业,牛东晓,张英怀,谢宏,齐喜全.电网短期电力负荷预测系统的研究[J].中国电机工程学报,1995,15(1):30-35. 被引量:35
  • 2朱常青,王秀和,张鑫,申宁.基于灰关联加权组合模型的电力负荷预测研究[J].电力系统及其自动化学报,2006,18(2):79-81. 被引量:20
  • 3王向军,向东,蒋涛,林春生,龚沈光,方兴.一种双种群进化规划算法[J].计算机学报,2006,29(5):835-840. 被引量:24
  • 4SCHWEFEL H P, BACK T. Evolution strategies Ⅰ : Tarlants and their computational implementation [ C]//Proceedings of the Genetic Algorithms in Engineering and Computer Science. New York:Wiley, 1995:111 -126.
  • 5SCHWEFEL H P, BACK T. Evolution strategies Ⅱ : Theoretical aspects [ C]// Proceedings of the Genetic Algorithms in Engineering and Computer Science. New York: Wiley, 1995:127 - 140.
  • 6YAO XIN, LIU YONG. Fast evolution strategies [ C]// Proceedings of the 6th International Conference on Evolutionary Programming, LNCS 1213: EP97. Berlin: Spring-Verlag, 1997:151 - 161.
  • 7YAO XIN, LIN GUANG-MING, LIU YONG. An analysis of evolutionary algorithms based on neighborhood and step size [ C]// Proceedings of the 6th International Conference on Evolutionary Programming, LNCS 1213 : EP97. Berlin: Spring-Verlag, 1997:297 -307.
  • 8闻邦椿 等.高等转子动力学[M].北京:机械工业出版社,2000..
  • 9牛东晓,赵磊,张博,等.粒子群优化灰色模型在负荷预测中的应用.中国管理科学,2010;22(4):41-44.
  • 10Back T, Schwefel H P.Evolution strategies I: variants and their computational implementation[M]//Winter G. Genetic Algorithms in Engineering and Computer Sci- ence.[S.l.] : Wiley, 1995 : 111-126.

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