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一个新的填充函数 被引量：3

A NEW FILLED FUNCTION
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摘要 填充函数法是一种解无约束全局极小化问题的方法.这种方法的关键是构造填充函数,在已发表的文献中已经介绍了几种填充函数.在此介绍只含一个参数的填充函数,并且根据此填充函数提出了一种填充函数算法.给出了用这种填充函数法解几个测试问题的计算结果. The filled function method is an approach for solving unconstrained global minimization problem. The key of this method is to construct the filled function. Some filled functions are introduced in literatures. In this paper, the new filled function with only one parameter is introduced. And the new filled function algorithm is proposed. The simulation results of several test problems based on the proposed algorithm are given.
作者 李铭明 张连生 王薇 杨永健
机构地区 上海大学数学系
出处 《系统科学与数学》 CSCD 北大核心 2007年第5期703-713,共11页 Journal of Systems Science and Mathematical Sciences
基金 国家自然科学基金(7A14178) 上海市教委自然科学基金(05NZ07) 上海工程技术大学青年科学基金(2005Q23)资助课题.
关键词 数学规划 全局极小 填充函数法 Mathematical programming, global minimization, filled function method.
分类号 O224 [理学—运筹学与控制论]
  • 相关文献

参考文献13

  • 1Renpu Ge, A filled function method for finding a global minimizer of a function of several variables. Mathematical Programming, 1990, 46: 191-204.
  • 2Ge R P and Qin Y F. A class of filled functions for finding global minimizers of a function of several variables. Journal of Optimization Theory and Applications, 1987, 54(2): 241-252.
  • 3Ge R P. The globally concexized filled functions for global optimization. Applied Mathematics and Computation, 1990, 35: 131-158.
  • 4Lucidi S and Piccialli V. New classes of globally convesized filled functions for global optimization. Journal of Global Optimization, 2002, 24: 219-236.
  • 5Liu Xian. Finding global minima with a computable filled funtion. Journal of Global Optimzation, 2001, 19: 151-161.
  • 6Zhang L S, Ng C K, Li D and Tian W W. A new filled function method for global optimization. Journal of Global Optimization, 2004, 28: 17-43.
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同被引文献19

  • 1Ming-ming Li,You-lin Shang,Lian-sheng Zhang.A NEW FILLED FUNCTION METHOD FOR INTEGER PROGRAMMING[J].Journal of Computational Mathematics,2006,24(1):25-32. 被引量：6
  • 2LIU X,XU W.A new filled function applied to global optimization[J].Computers and Operations Research,2004,31(1):61-80.
  • 3WANG CHENGJUN,YANG YONGJIAN,LI JING.A new filled function method for unconstrained global optimization[J].Journal of Computational and Applied Mathematics,2009,225(1):68-79.
  • 4LIANG Y M,ZHANG L S,LI M M,et al.A filled function method for global optimization[J].Journal of Computational and Applied Mathematics,2007,205(1):16-31.
  • 5WU Z Y,BAI F S,LEE H W,et al.A filled function method for constrained global optimization[J].Journal of Global Optimization,2007,39(4):495-507.
  • 6FAN S-K S,ZAHARA E.A hybrid simplex search and particle swarm optimization for unconstrained optimization[J]. European Journal of Operational Research,2007,181(2):527-548.
  • 7LIU X.A class of continuously differentiable filled functions for global optimization[J].IEEE Transactions on Systems,Man and Cybernetics,Part A:Systems and Humans,2008,38(1):38-47.
  • 8LIANG J J,QIN A K,SUGANTHAN P N,et al.Comprehensive learning particle swarm optimizer for global optimization of multimodal functions[J].IEEE Transactions on Evolutionary Computation,2006,10(3):281-295.
  • 9WANG YUPING,DANG CHUANGYIN.An evolutionary algorithm for global optimization based on level-set evolution and Latin squares[J]. IEEE Transactions on Evolutionary Computation,2007, 11(5):579-595.
  • 10WUJie 高传善译.分布式系统设计 [M].北京:机械工业出版社,2001.91-98.

引证文献3

二级引证文献10

系统科学与数学
2007年 第5期

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