Journal of Mechanical Science and Technology

  • 제15권7호
  • /
  • Pages.876-888
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  • 2001
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  • 1738-494X(pISSN)
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  • 1976-3824(eISSN)
대한기계학회 (The Korean Society of Mechanical Engineers)
권호 표지

Efficient Approximation Method for Constructing Quadratic Response Surface Model

  • Park, Dong-Hoon (Director, Center of Innovative Design Optimization Technology, Hanyang University) ;
  • Hong, Kyung-Jin (Graduate Research Assistant, Department of Mechanical Design and Production Engineering, Hanyang University) ;
  • Kim, Min-Soo (Contract Professor of the BK21 Division for Research and Education in Mechanical Engineering, Hanyang University)
  • 발행 : 2001.07.01
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초록

For a large scaled optimization based on response surface methods, an efficient quadratic approximation method is presented in the context of the trust region model management strategy. If the number of design variables is η, the proposed method requires only 2η+1 design points for one approximation, which are a center point and tow additional axial points within a systematically adjusted trust region. These design points are used to uniquely determine the main effect terms such as the linear and quadratic regression coefficients. A quasi-Newton formula then uses these linear and quadratic coefficients to progressively update the two-factor interaction effect terms as the sequential approximate optimization progresses. In order to show the numerical performance of the proposed method, a typical unconstrained optimization problem and two dynamic response optimization problems with multiple objective are solved. Finally, their optimization results compared with those of the central composite designs (CCD) or the over-determined D-optimality criterion show that the proposed method gives more efficient results than others.

키워드

참고문헌

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