Design Optimization Using Two-Point Diagonal Quadratic Approximation

Title & Authors
Design Optimization Using Two-Point Diagonal Quadratic Approximation
Choe, Dong-Hun; Kim, Min-Su; Kim, Jong-Rip; Jeon, Jae-Yeong;

Abstract
Based on the exponential intervening variable, a new two-point approximation method is presented. This introduces the shifting level into each exponential intervening variable to avoid the lack of def inition of the conventional exponential intervening variables due to zero-or negative-valued design variables. Then a new quadratic approximation whose Hessian matrix has only diagonal elements of different values is proposed in terms of these intervening variables. These diagonal elements are determined in a closed form that corrects the typical error in the approximate gradient of the TANA series due to the lack of definition of exponential type intervening variables and their incomplete second-order terms. Also, a correction coefficient is multiplied to the pre-determined quadratic term to match the value of approximate function with that of the previous point. Finally, in order to show the numerical performance of the proposed method, a sequential approximate optimizer is developed and applied to solve six typical design problems. These optimization results are compared with those of TANA-3. These comparisons show that the proposed method gives more efficient and reliable results than TANA-3.
Keywords
Two-Point Approximation;Sequential Approximate Optimization;
Language
Korean
Cited by
1.
이점 대각 이차 근사화 기법과 통계적 제한조건을 적용한 강건 최적설계 기법,권용삼;김민수;김종립;최동훈;

대한기계학회논문집A, 2002. vol.26. 12, pp.2483-2491
2.
이점 볼록 근사화 기법을 적용한 최적설계,김종립;최동훈;

대한기계학회논문집A, 2003. vol.27. 6, pp.1041-1049
3.
이점 대각 이차 근사화 기법을 쌍대기법에 적용한 순차적 근사 최적설계,박선호;정상진;정승현;최동훈;

대한기계학회논문집A, 2011. vol.35. 3, pp.259-266
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