IELM_assignment_4_solution

IELM_assignment_4_solution - IELM 202 Assignment#4 Solution...

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IELM 202, Assignment #4 Solution Due date: 9 November 2005, Wednesday, 12:00 noon Question 1 (20 marks): Consider the maximum flow problem as below, where the source is node A and the sink is node F, and the arc capacity are the numbers shown next to the directed arcs. Use the augmenting path algorithm to solve this problem. Please show the iterations of the algorithm. Path: A -> B -> D-> F, Flow = 6, Total Flow = 6 Path: A -> C -> E -> F, Flow = 6, Total Flow = 12 6 6 6 6 3 6 3 6 2 4 1 1 3 A B D C E F 6 6 9 6 3 6 2 4 1 7 3 A B D C E F 9 6 3 6 2 4 7 7 9 A B D C E F

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Path: A -> B -> E -> F, Flow = 2, Total Flow = 14 Path: A -> B -> D -> E -> F, Flow = 1, Total Flow = 15 Question 2 (20 marks) : The Texago Corporation had four oil fields, four refineries, and four distribution centers. A major strike involving the transportation industries now has sharply curtailed Texago’s capacity to ship oil from the oil fields to the refineries and to ship petroleum products from the refineries to the distribution centers. Using units to the thousands of barrels of crude oil (and its equivalent in refined products), the following tables show the maximum
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