최적설계 chap3_2 , 성균관대학교 서명원교수님

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최적설계 과목입니다.
그중 chap 3_2 에 관한 과제 입니다.
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목차

Homework 2. Given the unconstrained function...
Homework 3. Given the following optimization problem ...
Homework 18. Find the third-order Taylor’s series approximation of the function...
Homework 20. A rectangular box of height a and width b is placed adjacent to a wall (Fig 2.12)...
Homework 24. Consider the following optimization problem ...
Homework 26. Consider the following problem :
Homework 28. Maximize f=8x_1+4x_2+x_1 x_2-x_1^2-x_2^2

본문내용

Homework 3. Given the following optimization problem :
Minimize : F=X_1+X_2
Subject to : g_1=2-X_1^2-X_2≤0
g_2=4-X_1-3X_2≤0
g_3=-30+X_1+X_2^4≤0
The current design is X_1=1 ,X_2=1
(a) Dose this design satisfy the Kuhn-Tucker necessary condition for a constrained optimum? Explain
Necessary Condition
(b) What are the values of the Lagrange multipliers at design point?

Homework 18. Find the third-order Taylor’s series approximation of the function

참고 자료

Engineering Optimization: Theory and Practice