第6期 刘三阳，等：混合差分变异策略 491· k(x;-a)m xi<a 少1+花+1 4,i=l,…,n,u(x,a,k,m)=0 -a<x:<a,x:∈[-50,50]f=0. k(-x:-a)" x:<-a 5(=含4高m音+1，e[-6060],r-0 f(x)=10n+2[x-10cos(2mx)],x,∈[-5.12,5.12]，f=0. 169(2):638-653. 参考文献： [9]HAO Zhifeng,GUO Guanghan,HUANG Han.A particle [1]STORN R,PRICE K.Differential evolution-a simple and swarm optimization algorithm with differential evolution efficient heuristic for global optimization over continuous [C]//Proceedings of the Sixth International Conference on spaces[J].Journal of Clobal Optimization,1997,11(4): Machine Learning and Cybernetics.Hong Kong,China, 341-359 2007(2):1031-1035. [2]FEOKTSTOV V.Differential evolution:in search of solu- [10]PRICE K.Differential evolution vs.the functions of the tions[M].Berlin:Springer,2006. 2nd ICEO[C]//Proceeding of the 1997 IEEE Interational [3]QIN A,SUGANTHAN P.Self-adaptive differential evolu- Conference on Evolutionary Computation.Indianapolis, tion algorithm for numerical optimization[C]//Proceedings USA,1997,153-157. of the 2005 IEEE Congress on Evolutionary Computation. [11]CLERC M,KENNEDY J.The particle swarm-explosion, Edinburgh,UK,2005(2):1785-1791. stability,and convergence in a multidimensional complex [4]KIM H,CHONG J,PARK K,et al.Differential evolution space[J].IEEE Transactions on Evolutionary Computa- strategy for constrained global optimization and application to tion,2002,6(1):58-73 practical engineering problems[J].IEEE Transactions on 作者简介： Magnetics,2007,43(4):1565-1568. 刘三阳，男，1959年生，博士，教授， [5]KENNEDY J,EBERHART R.Particle swarm optimization 博士生导师，国家教学名师.主要研究 [C]//Proceedings of the IEEE International Joint Confer- 方向为应用数学、最优化和运筹学.现 ence on Neural Networks.Perth,Australia.1995(4):1942- 任西安电子科技大学理学院院长、工业 1948. 与应用数学研究所所长.发表学术论文 [6]BIRBIL S,FANG S.An electromagnetism-like mechanism 300余篇，出版专著10部. for global optimization[J].Journal of Global Optimization, 2003,25(3):263-282 张晓伟，男，1979年出生，博士研究 [7]BIRBIL S,FANG S,SHEU R.On the convergence of a 生.主要研究方向为进化算法及最优化 population-based global optimization[J].Journal of Global 理论与方法.发表学术论文10余篇，其 0 ptimization,2004,30(3):301-318. 中被SCI,EI、ISTP检索7篇. [8]DEBELS D,REYCK B,LEUS R,et al.A hybrid scatter search/electromagnetism meta-heuristic for project schedu- ling[J].European Journal of Operational Research,2006