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Chinese Journal of Engineering Design  2007, Vol. 14 Issue (5): 359-363    DOI:
    
Research on comparative analysis of response surface methods
 DOU  Yi-Fang, LIU  Fei, ZHANG  Wei-Hua
College of Aerospace and Material Engineering, National University of Defense Technology,Changsha 410008, China
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Abstract  Selection of response surface method with highly accurate and efficient approximation is greatly important in its application. The approximation function form, parameter estimate method and its basic features are described first; and then four representative functions are introduced and approximation of the abovementioned four functions is carried out through response surface modeling method; finally comparative analysis of this modeling method is conducted from the aspect of approximation accuracy and efficiency. The results indicate that response surface method based on radial basis function is the most suitable for practical problems.

Key wordsresponse surface method      polynomial regression      artificial neural network      Kriging function      radial basis function     
Published: 28 August 2007
Cite this article:

DOU Yi-Fang, LIU Fei, ZHANG Wei-Hua. Research on comparative analysis of response surface methods. Chinese Journal of Engineering Design, 2007, 14(5): 359-363.

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https://www.zjujournals.com/gcsjxb/     OR     https://www.zjujournals.com/gcsjxb/Y2007/V14/I5/359


响应面建模方法的比较分析

工程应用中选用拟合精度和拟合效率较高的响应面建模方法是其应用的关键。首先描述主要响应面建模方法的逼近函数形式、参数估计方法及其基本特性;然后引入4个有代表性的函数,并分别利用上述响应面建模方法对这4个函数进行响应面拟合;最后从拟合精度和拟合效率两方面比较分析上述响应面建模方法。结果表明,基于径向基函数的响应面建模方法最适于实际问题的响应面建模。

关键词: 响应面法,  多项式回归,  人工神经网络,  Kriging函数法,  径向基函数 
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