Consider the facility location problem as shown on the figure below, where a network model of an urbanized area is shown. Nodes 1 through 9 represent points where demands for service are generated and/or points where major roads in the area intersect. A single facility is to be located in the area and its prospective users will have to travel to the facility to partake of the service provided there. Daily demand figures for the service (in units of 100's) are indicated by the figures in parentheses next to the nodes where they originate. The lengths of the various road segments are also indicated (in miles) Where the facility should be located to minimize the average travel distance to it? (3) (2) 5 (6 (2) 5 |(3) (5) 11 (4) (5) (1)
Consider the facility location problem as shown on the figure below, where a network model of an urbanized area is shown. Nodes 1 through 9 represent points where demands for service are generated and/or points where major roads in the area intersect. A single facility is to be located in the area and its prospective users will have to travel to the facility to partake of the service provided there. Daily demand figures for the service (in units of 100's) are indicated by the figures in parentheses next to the nodes where they originate. The lengths of the various road segments are also indicated (in miles) Where the facility should be located to minimize the average travel distance to it? (3) (2) 5 (6 (2) 5 |(3) (5) 11 (4) (5) (1)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Consider the facility location problem as shown on the figure below, where a network model of an
urbanized area is shown. Nodes 1 through 9 represent points where demands for service are generated
and/or points where major roads in the area intersect. A single facility is to be located in the area and
its prospective users will have to travel to the facility to partake of the service provided there. Daily
demand figures for the service (in units of 100's) are indicated by the figures in parentheses next to
the nodes where they originate. The lengths of the various road segments are also indicated (in miles).
Where the facility should be located to minimize the average travel distance to it?
(3)
(2)
5
(6
(2) 5
|(3)
(5)
11
(4)
(1)
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