ce matrix. locate a logistics build

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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Question
Beika Tower Shopping Mall would like to build up a new Distribution Center to deliver
orders to 6 cities, with locations, distances and demands shown in the following figure.
a. Calculate the distance matrix.
b. Where should you locate a logistics center that gives the shortest travel distance over
the network?
c. Where should they build the minimum number of depots to give maximum travel
distance of 3 kilometers to any other city?
(Hint: Consider this question as a Set Covering Problem)
5
в
D
1
A
F
3
E
10
City
Demand
A
90
B
120
110
65
E
80
F
95
2.
2.
Transcribed Image Text:Beika Tower Shopping Mall would like to build up a new Distribution Center to deliver orders to 6 cities, with locations, distances and demands shown in the following figure. a. Calculate the distance matrix. b. Where should you locate a logistics center that gives the shortest travel distance over the network? c. Where should they build the minimum number of depots to give maximum travel distance of 3 kilometers to any other city? (Hint: Consider this question as a Set Covering Problem) 5 в D 1 A F 3 E 10 City Demand A 90 B 120 110 65 E 80 F 95 2. 2.
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