An industrial park consists of 16 buildings. The corporations in the park are sharing the cost of construction and maintenance for a new first-aid center. Because of the park's layout, distances between buildings are most closely approximated by a rec- tilinear distance measure. Weights for the buildings are determined based on the frequency of accidents. Find the optimal location of the first-aid center to minimize the weighted sum of the rectilinear distances to the 16 buildings. Building aj b; W; Building aj bị Wi 1 9. 9. 14 6. 11 2 10 3 7 10 19 17 3 8 8 4 11 20 4 14 4 12 20 3 12 14 25 6 4 9. 13 3 14 5 6. 18 16 12 14 6. 6. 8 7 4 1 4 15 21 15 8 3 16 10 10 4

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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Solve Problem given assuming a minimax rectilinear objective.

An industrial park consists of 16 buildings. The corporations in the park are sharing
the cost of construction and maintenance for a new first-aid center. Because of the
park's layout, distances between buildings are most closely approximated by a rec-
tilinear distance measure. Weights for the buildings are determined based on the
frequency of accidents. Find the optimal location of the first-aid center to minimize
the weighted sum of the rectilinear distances to the 16 buildings.
Building
aj
b;
W;
Building
aj
bị
Wi
1
9.
9.
14
6.
11
2
10
3
7
10
19
17
3
8
8
4
11
20
4
14
4
12
20
3
12
14
25
6
4
9.
13
3
14
5
6.
18
16
12
14
6.
6.
8
7
4
1
4
15
21
15
8
3
16
10
10
4
Transcribed Image Text:An industrial park consists of 16 buildings. The corporations in the park are sharing the cost of construction and maintenance for a new first-aid center. Because of the park's layout, distances between buildings are most closely approximated by a rec- tilinear distance measure. Weights for the buildings are determined based on the frequency of accidents. Find the optimal location of the first-aid center to minimize the weighted sum of the rectilinear distances to the 16 buildings. Building aj b; W; Building aj bị Wi 1 9. 9. 14 6. 11 2 10 3 7 10 19 17 3 8 8 4 11 20 4 14 4 12 20 3 12 14 25 6 4 9. 13 3 14 5 6. 18 16 12 14 6. 6. 8 7 4 1 4 15 21 15 8 3 16 10 10 4
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