ISYE 3133 Modeling3Sol

ISYE 3133 Modeling3Sol - ISYE3133C - Engineering...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ISYE3133C - Engineering optimization Modeling Handout #3 A quantity y is known to depend upon another quantity x . A set of corresponding values has been collected for x and y and is presented in the following table. i 1 2 3 4 x i . . 5 1 . 1 . 5 y i 1 . . 9 . 7 1 . 5 We want to approximate the relation between x and y by fitting the best straight line y = mx + c through the points ( x i , y i ) in the table. To achieve this we need to find parameters m and c . For a particular choice of parameters we have that δ i = | mx i + c- y i | is the error of the approximation for pair ( x i , y i ). For a perfect approximation we would have δ i = 0 for all i . One option is to find a line that minimizes the sum of errors δ i . This is achieved by solving min m,c 4 X i =1 | mx i + c- y i | . (1) Another option is to find a line that minimizes the maximum of errors δ i . This is achieved by solving min m,c max i =1 ,..., 4 | mx i + c- y i | . (2) 1. Formulate a linear programming problem to find...
View Full Document

This homework help was uploaded on 04/18/2008 for the course ISYE 3133 taught by Professor Juanpablovielma during the Spring '08 term at Georgia Tech.

Page1 / 2

ISYE 3133 Modeling3Sol - ISYE3133C - Engineering...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online