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Conservative Quadratic RSM combined with Incomplete Small Composite Design and Conservative Least Squares Fitting  

Kim, Min-Soo (Graduate School of Automotive Engineering, Kookmin University)
Heo, Seung-Jin (School of Automotive Engineering, Kookmin University)
Publication Information
Journal of Mechanical Science and Technology / v.17, no.5, 2003 , pp. 698-707 More about this Journal
Abstract
A new quadratic response surface modeling method is presented. In this method, the incomplete small composite design (ISCD) is newly proposed to .educe the number of experimental runs than that of the SCD. Unlike the SCD, the proposed ISCD always gives a unique design assessed on the number of factors, although it may induce the rank-deficiency in the normal equation. Thus, the singular value decomposition (SVD) is employed to solve the normal equation. Then, the duality theory is used to newly develop the conservative least squares fitting (CONFIT) method. This can directly control the ever- or the under-estimation behavior of the approximate functions. Finally, the performance of CONFIT is numerically shown by comparing its'conservativeness with that of conventional fitting method. Also, optimizing one practical design problem numerically shows the effectiveness of the sequential approximate optimization (SAO) combined with the proposed ISCD and CONFIT.
Keywords
Response Surface Model; Sequential Approximate Optimization; Incomplete Small Composite Design; Conservative Least Squares Fitting;
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Times Cited By KSCI : 1  (Citation Analysis)
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