1. College of Computer and Software, Nanjing Institute of Industry Technology, Nanjing Jiangsu 210046, China
2. College of Computer Science and Technology, Zhejiang University, Hangzhou Zhejiang 310027,China
[1]RUDOLPH G. Convergence analysis of canonical genetic algo-rithms[J].IEEE Transactions on Neural Networks,1994,5(1):96-101.[2]黄翰,林智勇,郝志峰,等.基于关系模型的进化算法收敛性分析与对比[J].计算机学报,2011,34(5): 801-811.[3]周育人,闵华清,许孝元,等.多目标演化算法的收敛性研究[J].计算机学报,2004,27(10):1415-1421.[4]严太山,崔杜武.求解无约束优化问题的知识进化算法及其收敛性分析[J].控制理论与应用,2010,27(10):1376-1382.[5]ZHONG W,LIU J,XUE M,et al.A multiagent genetic algorithm for global numerical optimization[J].IEEE Transactions on Systems,Man and Cybernetics,Part B: Cybernetics,2004,34(2):1128-1141.[6]LEUNG Y,WANG Y.An orthogonal genetic algorithm with quantization for global numerical optimization[J].IEEE Transactions on Evolutionary Computation,2001,5(1):41-53.[7]LIU J,ZHONG W,JIAO L.An organizational evolutionary algorithm for numerical optimization[J].IEEE Transactions on Systems,Man,and Cybernetics,Part B: Cybernetics,2007,37(4):1052-1064.[8]EIBEN A E, RUDOLPH G. Theory of evolutionary algorithms: a birds eye view[J].Theoretical Computer Science,1999,229(1/2):3-9.[9]HANNE T.On the convergence of multiobjective evolutionary algorithms[J].European Journal of Operational Research,1999,117(3): 553-564.[10]SEMENOV M A, TERKEL D A.Analysis of convergence of an evolutionary algorithm with self-adaptation using a stochastic Lyapunov function[J]. Evolutionary Computation, 2003,11(4):363-379.[11]ZHOU Y,HE J.Convergence analysis of a self-adaptive multi-objective evolutionary algorithm based on grids[J].Information Processing Letters,2007,104(4):117-122.[12]RUDOLPH G.On a multi-objective evolutionary algorithm and its convergence to the pareto set[C]// Proceedings of the 2nd IEEE World Congress on Computational Intelligence. Piscataway:IEEE,1998:511-516.[13]KHOSRAVIANI M, POUR-MOZAFARI S, EBADZADEH M M. Convergence analysis of quantum-inspired genetic algorithms with the population of a single individual[C]// Proceedings of the 10th Annual Conference on Genetic and Evolutionary Computation. New York:ACM,2008:1115-1116.[14]CHAKRABORTY P, DAS S, ROY G G,et al. On convergence of the multi-objective particle swarm optimizers[J].Information Sciences,2011,181(8):1411-1425.[15]CHUNG K L. A course in probability[M]. 3rd ed. New York: Academic Press,2001:76-77.[16]RUDOLPH G.Convergence of evolutionary algorithms in general search spaces[C]// Proceedings of IEEE International Conference on Evolutionary Computation. Piscataway: IEEE,1996:50-54.[17]RUDOLPH G,AGAPIE A.Convergence properties of some multi-objective evolutionary algorithms[C]// Proceedings of the 2000 Congress on Evolutionary Computation. Piscataway: IEEE, 2000:1010-1016.[18]HE J,YU X.Conditions for the convergence of evolutionary algorithms[J].Journal of Systems Architecture,2001,47(7):601-612.[19]ZHAO X C.Convergent analysis on evolutionary algorithm with non-uniform mutation[C]// Proceedings of the IEEE Congress on Evolutionary Computation.Piscataway: IEEE,2008: 940-944.