Global Optimization Method Based on Incremental Radial Basis Functions

被引:1
作者
Wei, Xin [1 ]
Wu, Yizhong [1 ]
Chen, Liping [1 ]
机构
[1] Huazhong Univ Sci & Technol, Natl CAD Supported Software Engn Ctr, Wuhan 430074, Peoples R China
来源
FRONTIERS OF MANUFACTURING AND DESIGN SCIENCE II, PTS 1-6 | 2012年 / 121-126卷
关键词
Metamodel; Incremetal Radial Basis Functions; Global optimization; Inherited Latin Hypercube Design;
D O I
10.4028/www.scientific.net/AMM.121-126.3950
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Global optimization techniques have been used extensively due to their capability in handling complex engineering problems. Metamodel becomes effective method to enhance global optimization. In this paper, we propose a new global optimization method base on incremental metamodel. At each sampling step, we adopt inherited Latin HyperCube design to sample points step by step, and propose a new incremental metamodel to update the cofficient matrix gradually. Experiments proved that the global optimization method has highest efficiency and can be finding global minimum fastly.
引用
收藏
页码:3950 / 3954
页数:5
相关论文
共 12 条
[1]  
Buhmann M.D., 2003, C MO AP C M, V12, P259, DOI 10.1017/CBO9780511543241
[2]  
Duncan WJ, 1944, PHILOS MAG, V35, P660
[3]  
Fu J.F., 1991, ENG OPTIMIZ, V17, P263, DOI [10.1080/03052159108941075, DOI 10.1080/03052159108941075]
[4]  
Horst R., 1994, HDB GLOBAL OPTIMIZAT
[5]   A COMPARISON OF THREE METHODS FOR SELECTING VALUES OF INPUT VARIABLES IN THE ANALYSIS OF OUTPUT FROM A COMPUTER CODE [J].
MCKAY, MD ;
BECKMAN, RJ ;
CONOVER, WJ .
TECHNOMETRICS, 1979, 21 (02) :239-245
[6]   Mode pursuing sampling method for discrete variable optimization on expensive black-box functions [J].
Sharif, Behnarn ;
Wang, G. Gary ;
ElMekkawy, Tarek Y. .
JOURNAL OF MECHANICAL DESIGN, 2008, 130 (02)
[7]  
Torn A., 1987, GLOBAL OPTIMIZATION
[8]   Review of metamodeling techniques in support of engineering design optimization [J].
Wang, G. Gary ;
Shan, S. .
JOURNAL OF MECHANICAL DESIGN, 2007, 129 (04) :370-380
[9]   Adaptive Response Surface Method using inherited Latin Hypercube Design points [J].
Wang, GG .
JOURNAL OF MECHANICAL DESIGN, 2003, 125 (02) :210-220
[10]  
Wilde D.J., 1978, Globally optimal design. Wiley interscience publication