Abu Dhabi municipality is given an assignment to ensure provision of enough water for residents of the Abu Dhabi city. The water is purified in a large water treatment plant (node 1) and then is sent via a water supply network to the Abu Dhabi city (node 14). As shown in the below water supply network, the capacity of each water pipeline (arc) is shown in million liters per hour. For example, the hourly water flow from node 1 to node 2 is four million liters, and from node 2 to node 1 is zero million liters. a. b. B 1 The municipality is interested to find out how much water (in million liters per hour) can be sent from the water treatment plant to the Abu Dhabi city via this water supply network. Determine it. Due to a maintenance problem both nodes 10 and 11 need to be taken offline. Therefore, these nodes cannot flow any water in and out. How this problem impacts the network maximum flow capacity? 3 2 11 3 3 4 2 2 0 5 2 6 1 2 1 7 8 3 2 4 6 4 1 2 9 1 0 10 5 5 3 11 0 12 5 6 13 14
Abu Dhabi municipality is given an assignment to ensure provision of enough water for residents of the Abu Dhabi city. The water is purified in a large water treatment plant (node 1) and then is sent via a water supply network to the Abu Dhabi city (node 14). As shown in the below water supply network, the capacity of each water pipeline (arc) is shown in million liters per hour. For example, the hourly water flow from node 1 to node 2 is four million liters, and from node 2 to node 1 is zero million liters. a. b. B 1 The municipality is interested to find out how much water (in million liters per hour) can be sent from the water treatment plant to the Abu Dhabi city via this water supply network. Determine it. Due to a maintenance problem both nodes 10 and 11 need to be taken offline. Therefore, these nodes cannot flow any water in and out. How this problem impacts the network maximum flow capacity? 3 2 11 3 3 4 2 2 0 5 2 6 1 2 1 7 8 3 2 4 6 4 1 2 9 1 0 10 5 5 3 11 0 12 5 6 13 14
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section: Chapter Questions
Problem 100P
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Abu Dhabi municipality is given an assignment to ensure provision of enough water for residents of the Abu Dhabi city. The water is purified in a large water treatment plant (node
1) and then is sent via a water supply network to the Abu Dhabi city (node 14). As shown in the below water supply network, the capacity of each water pipeline (arc) is shown in million liters per hour. For example, the hourly water flow from node 1 to node 2 is four million liters, and from node 2 to node 1 is zero million liters.
a) The municipality is interested to find out how much water (in million liters per hour) can be sent from the water treatment plant to the Abu Dhabi city via this water supply network. Determine it.
b) Due to a maintenance problem both nodes 10 and 11 need to be taken offline.
Therefore, these nodes cannot flow any water in and out. How this problem impacts the network maximum flow capacity?
Please include algebraic method and excel solver.
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