Homework_1_Solutions

Homework_1_Solutions - 20 = 6.09 6 20 2 15 4 70 2 35 From...

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Spring 2010 ESI 6553: Systems Design Homework 1 Professor Boginski bc97af8c5c8304a0d02c43488c34f907d7bb1d18.xlsx 1 Prob 3 Given Preference Matrix 1 2 3 4 5 6 ( A - λ I ) * w = 0 Winner Loser 1 1.00 4.00 0.50 0.33 0.20 2.00 -5.09 4.00 0.50 0.33 0.20 2.00 0.09 0.00 1 38 2 15 2 0.25 1.00 0.20 0.13 0.11 0.50 0.25 -5.09 0.20 0.13 0.11 0.50 0.03 0.00 3 42 1 35 3 2.00 5.00 1.00 0.50 0.25 2.50 2.00 5.00 -5.09 0.50 0.25 2.50 0.14 0.00 1 50 6 37 4 3.00 8.00 2.00 1.00 0.50 4.00 3.00 8.00 2.00 -5.09 0.50 4.00 0.24 0.00 4 43 3 10 5 5.00 9.00 4.00 2.00 1.00 8.00 5.00 9.00 4.00 2.00 -5.09 8.00 0.44 0.00 5 32 4 30 6 0.50 2.00 0.40 0.25 0.13 1.00 0.50 2.00 0.40 0.25 0.13 -5.09 0.05 0.00 3 63 5 37 sum 1 0.00 5 72 6
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Unformatted text preview: 20 = 6.09 6 20 2 15 4 70 2 35 From the eigenvector of weights, the following ranking of teams is obained, beginning with the best team. 5 4 3 1 6 2 Consistency Index CI =-n n-1 CI = 6.09-6 6-1 CI = 0.09 5 CI = 0.02 < 0.1 So, according to the class notes, I am fairly consistent. However, team 3 beat team 5, but 5 is ahead of 3 in the rankings. This is slightly controversial. Winning Score Losing Score max...
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