56. A company is considering where to locate its cafeteria to service six buildings. The locations of the buildings and the fraction of the company's employees working at these locations are Fraction of Building aj bị Workforce A 2 B 1 3 D 5 E 4 2 F 10 7 a. Find the optimal location of the cafeteria to minimize the weighted rectilinear distance to all the buildings. b. Find the optimal location of the cafeteria to minimize the maximum rectilinear distance to all the buildings. Chapter Eleven Facilities Layout and Location c. Find the gravity solution. d. Suppose that the cafeteria must be located in one of the buildings. In which building should it be located if the goal is to minimize weighted rectilinear distance? e. Solve part (d) assuming weighted Euclidean distance.

Practical Management Science
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Author:WINSTON, Wayne L.
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56. A company is considering where to locate its cafeteria to service six buildings. The
locations of the buildings and the fraction of the company's employees working at
these locations are
Fraction of
Building
aj
bị
Workforce
A
2
B
1
3
D
5
E
4
2
F
10
7
a. Find the optimal location of the cafeteria to minimize the weighted rectilinear
distance to all the buildings.
b. Find the optimal location of the cafeteria to minimize the maximum rectilinear
distance to all the buildings.
Chapter Eleven Facilities Layout and Location
c. Find the gravity solution.
d. Suppose that the cafeteria must be located in one of the buildings. In which
building should it be located if the goal is to minimize weighted rectilinear
distance?
e. Solve part (d) assuming weighted Euclidean distance.
Transcribed Image Text:56. A company is considering where to locate its cafeteria to service six buildings. The locations of the buildings and the fraction of the company's employees working at these locations are Fraction of Building aj bị Workforce A 2 B 1 3 D 5 E 4 2 F 10 7 a. Find the optimal location of the cafeteria to minimize the weighted rectilinear distance to all the buildings. b. Find the optimal location of the cafeteria to minimize the maximum rectilinear distance to all the buildings. Chapter Eleven Facilities Layout and Location c. Find the gravity solution. d. Suppose that the cafeteria must be located in one of the buildings. In which building should it be located if the goal is to minimize weighted rectilinear distance? e. Solve part (d) assuming weighted Euclidean distance.
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