Exam 2 Key - Spring 2007

# Exam 2 Key - Spring 2007 - MET 581 - Applied Optimization...

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MET 581 - Applied Optimization Exam 2 Example Problem: fx y , () 3 x 2 y2 2 + := gxy , ()x 2 y + := R1 0 := p e xy , ()f x y , R Φ , , 2 + := <= pseudo-objective function for exterior penalty function method p i , x y , 1 R 1 , 2 + := <= pseudo-objective function for interior penalty function method <= gradient of unconstrained objective function Gradf x y , x , d d y , d d 6x 2y 4 := p e

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x1 := y1 := <= Initial Guess For Mathcad Solvers Minimize f x , y , () 5.315 10 11 × 2 = <= Minimum of unconstrained problem Given gxy , 0 Minimize f x , y , 0.308 0.154 = <= Minimum of constrained problem Minimize p e x , y , 0.301 0.195 = <= Minimum of EPF pseudo-objective function Minimize p i x , y , 5.183 10 4 × 2.003 = <= Minimum of IPF pseudo-objective function Problem 1: := := GradPe x y , x p e xy , d d y p e , d d := sxy , ( ) GradPe x y , := , 66 118 = xd d x dsxy , 0 + := yd d , 1 + := pd e d p e xd d
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## This note was uploaded on 02/21/2012 for the course MET 503 taught by Professor Markfrench during the Spring '12 term at Purdue University-West Lafayette.

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Exam 2 Key - Spring 2007 - MET 581 - Applied Optimization...

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