Projects (1999 - Spring 2008)

Engineering >> Other

by Kamilah Owens

Submitted : Spring 2012

The purpose of this project was to find the optimum location of a central storage facility with three customers located at three different locations. The locations of the customers were located at (X1, Y1), (X2, Y2), (X3, Y3). The optimum location (X,Y) is based on the cost function being minimized (Eq1). Given the values of (X1, Y1), (X2, Y2), (X3, Y3) = (-5,0), (4,6), (10, -4), I had to minimize the cost function in two different cases (Eq2, Eq3) in order to minimize the distance. I took the first order partial derivative of Eq4 and applied the distance formula to (L1, L2, L3). This gave me two equations (Eq8, Eq9), in which I needed to set equal to zero in order to find my critical points for (x,y). I used a program called Mathematica to solve these equations. This gave me a result of C = 21.569 for Eq2 and C= 31.8046 for Eq3.

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 Advisors : Brian Curtin, Mathematics and Statistics Scott Campbell, Chemical & Biomedical Engineering Suggested By : Scott Campbell