Development of metamodeling based optimization system for high nonlinear engineering problems

被引:51
作者
Hu, Wang [1 ]
Li Enying [1 ]
Li, G. Y. [1 ]
Zhong, Z. H. [1 ]
机构
[1] Hunan Univ, State Key Lab Adv Technol Vehicle Design Manufact, Coll Mech & Automot Engn, Changsha 410082, Hunan, Peoples R China
关键词
optimization; metamodeling; intelligent sampling; boundaries and best neighbors searching (BBNS); fuzzy based; response surface method (RSM); Kriging method;
D O I
10.1016/j.advengsoft.2007.10.001
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
A metamodeling optimization system for nonlinear problems was developed in this study. Boundaries and best neighbors searching (BBNS) intelligent sampling method and fuzzy based progressive metamodeling for space reduction were integrated and applied for this system. The BBNS scheme generates new samples derived from information of boundaries and the best samples of initial sparse distributed samples. It is easy to obtain better samples and avoid local convergence due to boundary information. In order to construct accuracy metamodel, the fuzzy based progressive metamodeling method was implemented to cluster samples generated by BBNS several patches in optimization domain. Only better sets of them are involved in construction of metamodels in each patch by response surface and kriging method. The nonlinear problems with multi-humps as test functions were used for proving accuracy and efficiency of developed system. The practical nonlinear engineering problems were also successfully optimized by this system. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码:629 / 645
页数:17
相关论文
共 39 条
[1]   A trust-region framework for managing the use of approximation models in optimization [J].
Alexandrov, NM ;
Dennis, JE ;
Lewis, RM ;
Torczon, V .
STRUCTURAL OPTIMIZATION, 1998, 15 (01) :16-23
[2]  
ALEXANDROV NM, 1998, 7 AIAA USAF NASA ISS, V2, P720
[3]  
[Anonymous], 2001, SWARM INTELL-US
[4]  
[Anonymous], Pattern Recognition With Fuzzy Objective Function Algorithms
[5]  
BARLET O, 1996, ASME, V3, P227
[6]   Small response surface designs for metamodel estimation [J].
Batmaz, I ;
Tunali, S .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2003, 145 (02) :455-470
[7]  
Box G.E., 1978, STAT EXPT
[8]  
Box G.E.P., 1969, EVOLUTIONARY OPERATI
[9]   ON THE EXPERIMENTAL ATTAINMENT OF OPTIMUM CONDITIONS [J].
BOX, GEP ;
WILSON, KB .
JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY, 1951, 13 (01) :1-45
[10]  
BRANIN FH, 1972, NUMERICAL METHODS NO, P231