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Hw8solution

# Hw8solution - Introduction to Mathematical Programming IEOR...

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1 Introduction to Mathematical Programming IEOR 3608 Prof. Maria Chudnovky Homework #8 Solution 1 Initial BFS: Customer 1 Customer 2 Customer 3 Warehouse 1 30 15 10 35 25 Warehouse 2 10 20 50 10 40 Unmet 90 80 20 110 1 1 1 1 2 1 2 2 2 2 3 2 3 3 3 3 0 15 15 35 35 15 50 25 40 85 110 u v u v v u v u u v v u v u u v = = + = = + = = + = = + = = + = 13 21 31 32 0 20 10 [ 40] c c c c = = = = Customer 1 Customer 2 Customer 3 Warehouse 1 30 15 10 35 25 Warehouse 2 10 0 50 30 40 Unmet 90 20 80 110 1 1 1 1 2 1 2 2 2 2 3 2 3 3 3 2 0 15 15 35 35 15 50 25 40 45 80 u v u v v u v u u v v u v u u v = = + = = + = = + = = + = = + =

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2 13 21 31 33 0 [ 20] 30 40 c c c c = = = − = − Customer 1 Customer 2 Customer 3 Warehouse 1 30 15 10 35 25 Warehouse 2 0 10 50 30 40 Unmet 90 20 80 110 1 1 1 1 2 1 2 2 2 1 3 2 3 3 3 2 0 15 15 35 35 5 10 45 40 45 80 u v u v v u v u u v v u v u u v = = + = = + = = − + = = + = = + = 13 22 31 33 [ 20] 20 30 20 c c c c = = − = − = − Customer 1 Customer 2 Customer 3
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