A rental car company has an imbalance of cars at seven of its locations. The following net-work shows the locations of concern (the nodes) and the cost to move a car between locations. A positive number by a node indicates an excess supply at the node, and a negative number indicates an excess demand (Notice that there are as many cars in need "excess demand" as there are available "excess supply.") Develop a network model for restoring the proper balance (demand = supply = 0) to determine how many cars to redistribute among the locations. -8 1 20 20 +5 25 +3 2 3 27 25 45 30 5 +2 35 28 15 6 -5 4 -3 12 27 7 +6

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section6.5: Set-covering And Location-assignment Models
Problem 34P
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Po.4.
A rental car company has an imbalance of cars at seven of its locations. The following net-work shows the locations of concern
(the nodes) and the cost to move a car between locations. A positive number by a node indicates an excess supply at the
node, and a negative number indicates an excess demand (Notice that there are as many cars in need "excess demand" as
there are available "excess supply.")
Develop a network model for restoring the proper balance (demand = supply = 0) to determine how many cars to redistribute
among the locations.
-8
1
20
20
+5
25
+3
2
3
27
25
45
30
5 +2
35
28
15
6
-5
4
-3
12
27
7
+6
Transcribed Image Text:A rental car company has an imbalance of cars at seven of its locations. The following net-work shows the locations of concern (the nodes) and the cost to move a car between locations. A positive number by a node indicates an excess supply at the node, and a negative number indicates an excess demand (Notice that there are as many cars in need "excess demand" as there are available "excess supply.") Develop a network model for restoring the proper balance (demand = supply = 0) to determine how many cars to redistribute among the locations. -8 1 20 20 +5 25 +3 2 3 27 25 45 30 5 +2 35 28 15 6 -5 4 -3 12 27 7 +6
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