ZHANG Yu-fen
,
ZHANG Qun-feng
,
WANG Yong-jun
,
GUO Zhan-xin
. A Novel Auxiliary Function and Its Properties for Global Optimization[J]. Journal of Hebei University(Natural Science Edition), 2011
, 31(1)
: 7
-11
.
DOI: 10.3969/j.issn.1000-1565.2011.01.002
[1] 张玉芬, 王永军, ZHANG Yu-fen, WANG Yong-jun. 用于全局优化的一类填充函数构造方法 [J]. 河北大学学报(自然科学版) 2008.doi:10.3969/j.issn.1000-1565.2008.04.002
[2] HOLLAND J H. Genetic algorithms [J]. Scientifie American 1992.
[3] KIRKPATRICKS, GELATT C D, VECCHI M P. Optimization by simulate annealing [J]. Science 1983, 220.
[4] EBERHART R C, KENNEDY J. A new optimizer suing particle swarm theory [A]. Nagoya, IEEE 1995.
[5] GE R. A filled function method for finding a global minimize of a function of several variables [J]. Mathematical Programming Journal 1990, 46.
[6] LEVY A, MONTALVO A. The tunneling algorithm for the global minimization of functions [J]. SIAM Journal on Scientific and Statistical Computing 1985.
[7] Parsopoulos KE., Magoulas GD., Vrahatis MN., Plagianakos VP.. Objective function stretching to alleviate convergence to local minima [J]. Nonlinear Analysis: An International Multidisciplinary Journal 2001, 5 Pt.2 SpecialIssueS(5 Pt.2 SpecialIssueS).
[8] PARSOPOULOS K E, VRAHATIS M N. On the computation of all global optimizers through particle swarm optimization [J]. IEEE T Evolut Coput 2004, 8.
[9] Liu M. The impelling function method applied to global optimization [J]. Applied mathematics and computation 2004, 3(3).
[10] Xian Liu, Wilsun Xu. A new filled function applied to global optimization [J]. Computers & operations research 2004, 1(1).
[11] WANG Xianliang, ZHOU Bao. A new fled function for unconstrained global optimization [J]. Applied Mathematics and Computation 2006, 174.
[12] WENXING ZHU, QINGXIANG FU. A Sequential Convexification Method (SCM) for Continuous Global Optimization [J]. Journal of global optimization 2003, 2(2).
[13] CETIN B C, BARHNE J, BURDICK J W. Terminal repeller unconstrained subenergy tunneling (TRUST) for fast global optimization [J]. Journal of Optimize Theory App 1993, 77(01).
[14] KOSTUWICHI J, PIDLA L. Diffusion equation method of global minimization:performance for standard test functions [J]. Journal of Optimize Theory App 1991, 69(02).
[15] RINNOOY KAN AHG, TIMMER G T. Stochastic global optimization methods, Part Ⅱ:multi-level methods [J]. Mathematical Programming Journal 1987, 39.