32. 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 a; bị Wi Building aj bị w; 1 14 11 2 10 3 7 10 19 17 3 8 8 4 11 20 4 14 12 20 9 16 3 12 13 25 3 4 14 6 5 4 2 14 18 12 14 8 7 15 16 9. 10 4 1 4 21 15 8. 5 5 10 4

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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32. 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
a;
bị
Wi
Building
aj
bị
w;
1
14
11
2
10
3
7
10
19
17
3
8
8
4
11
20
4
14
12
20
9
16
3
12
13
25
3
4
14
6
5
4
2
14
18
12
14
8
7
15
16
9.
10
4
1
4
21
15
8.
5
5
10
4
Transcribed Image Text:32. 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 a; bị Wi Building aj bị w; 1 14 11 2 10 3 7 10 19 17 3 8 8 4 11 20 4 14 12 20 9 16 3 12 13 25 3 4 14 6 5 4 2 14 18 12 14 8 7 15 16 9. 10 4 1 4 21 15 8. 5 5 10 4
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