Applying Surrogate Construction Schemes for Surface Fitting

• Main Authors: Neng-Kai Lu, 呂能凱
• Other Authors: Weichung Wang
• Format: Others
• Language: en_US
• Published: 2008
• Online Access: http://ndltd.ncl.edu.tw/handle/553u8m

碩士 === 國立高雄大學 === 應用數學系碩士班 === 96 === In this thesis, we compare three surrogate construction methods, including: DACE, BRSM and TGP in optimization procedure. We then investigate the suitable radial basis parameter used in DACE method. We utilize these three methods to perform surface fitting with either fixed experimental points or directly generated from the optimization process. Based on the derivative information, we developed different stopping criterion. Within 4 different known functions, we found that adding two experimental points per cycle with one as the lowest point on the present grid and the other to be the point with largest variation in the function value to be the most effective.