assign_summary

# assign_summary - 6 7 6 1 6 2 2 5 4 9 Cij = cost (in \$10 )...

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6 1 2 7 6 5 6 2 4 C ij = cost (in \$10 9 ) of locating fab i at site j.

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X 11 X 12 X 13 X 21 X 22 X 23 X 31 X 32 X 33 X ij = 1 if fab i is located at site j X ij = 0 if fab i is not located at site j
OR&IE 320/520 8/23/07 Prof. Bland minimize 6 x 11 + 1 x 12 + 2 x 13 + 7 x 21 + 6 x 22 + 5 x 23 + 6 x 31 + 2 x 32 + 4 x 33 subject to: x 11 + x 12 + x 13 = 1 x 21 + x 22 + x 23 = 1 x 31 + x 32 + x 33 = 1 x 11 + x 21 + x 31 = 1 x 12 + x 22 + x 32 = 1 x 13 + x 23 + x 33 = 1 x 11 0 , ··· , x 33 0 .

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2 0 0 0 2 0 1 0 1 Some examples of the assignment problem are trivial, i.e., it is trivial to recognize an optimal solution. 2 0 0 0 2 0 1 0 1
2 0 3 0 2 3 1 0 4 Some nontrivial examples of the assignment problem are equivalent to a trivial example. 2 0 0 0 2 0 1 0 1

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6 1 2 7 6 5 6 2 4 Every example of the assignment problem is equivalent to a trivial example. 2 0 0 0 2 0 1 0 1
6 4 10 7 13 14 12 14 17 13 20 12 17 16 19 8 16 11 13 14 17 17 19 13 10 10 16 5 13 19 15 22 20 20 23 16 15 12 15 7 8 15 4 16 A 10 x 10 assignment example.

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## This note was uploaded on 03/30/2008 for the course ORIE 320 taught by Professor Bland during the Fall '07 term at Cornell University (Engineering School).

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assign_summary - 6 7 6 1 6 2 2 5 4 9 Cij = cost (in \$10 )...

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