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Unformatted text preview: CO350—Linear Optimization Assignment 9 This assignment is due Friday, July 23, 2010, at 2 pm, in assignment drop box #2, in front of MC4066. Please make sure that your full name, your student ID number, the course number, and the name of your instructor are clearly visible on the front of your submission, and that all your pages are securely stapled. You may discuss the assignment questions with other students, but you must write your solutions up independently, and all submitted work must be your own. 1. Consider the following optimal tableau for the LP relaxation of an integer linear program. For each constraint row, find the corresponding Gomory cutting plane inequality, then write it in a form that can be added to the tableau. z + 1 14 x 4 + 3 14 x 5 + 5 4 x 6 = 27 4 x 1 x 5 5 4 x 6 = 9 4 x 2 + 1 2 x 4 1 2 x 5 + 17 4 x 6 = 13 4 x 3 3 7 x 4 + 5 7 x 5 + 3 x 6 = 1 7 2. Solve the following integer linear program using the cutting plane algorithm, starting from the optimal basis {...
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This note was uploaded on 05/28/2011 for the course CO 350 taught by Professor S.furino,b.guenin during the Fall '07 term at Waterloo.
 Fall '07
 S.Furino,B.Guenin

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