HW10_sol

# HW10_sol - -1-1 1-1 1 1 1-1-1 1-1-1 1 1 Note that the...

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IE 335 Operations Research - Optimization Solutions to Homework 10 Spring 2011 Problem 43 10-2.(a) V = { 1 , 2 , 3 , 4 , 5 } A = { (1 , 2) , (1 , 3) , (2 , 3) , (3 , 4) , (3 , 5) , (4 , 2) , (4 , 5) } 10-2.(b) Sources = 1,3. Sink = 5. Transshipment = 2,4. 10-2.(c) Total supply = 80 + 70 = 150, total demand = 150, so total supply = total demand = 150 10-2.(d) minimize 2 x 1 , 3 + 3 x 2 , 3 + 8 x 3 , 4 - x 3 , 5 + 6 x 4 , 2 + 4 x 4 , 5 (1) subject to - x 1 , 2 - x 1 , 3 = - 80 (2) x 1 , 2 + x 4 , 2 - x 2 , 3 = 0 (3) x 1 , 3 + x 2 , 3 - x 3 , 4 - x 3 , 5 = - 70 (4) x 3 , 4 - x 2 , 4 - x 4 , 3 = 0 (5) x 3 , 5 + x 4 , 5 = 150 (6) x 1 , 2 10 (7) x 3 , 5 150 (8) x 4 , 5 150 (9) all x i,j 0 (10) 10-2.(e) A =

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Unformatted text preview: -1-1 1-1 1 1 1-1-1 1-1-1 1 1 Note that the columns represent x 1 , 2 ,x 1 , 3 ,x 2 , 3 ,x 3 , 4 ,x 3 , 5 ,x 4 , 2 ,x 4 , 5 and the rows represent 1 , 2 , 3 , 4 , 5. 1 10-4.(a) Each column has nonzero number at most one +1 and one -1, and each column sums to 0. 10-4.(b) 2...
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## This note was uploaded on 04/27/2011 for the course IE 335 taught by Professor Smith during the Spring '11 term at Southwestern.

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HW10_sol - -1-1 1-1 1 1 1-1-1 1-1-1 1 1 Note that the...

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