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Business Applications of Operations Research by Bodhibrata Nag

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CHAPTER 3

Facility Location

1. Supermarkets Serving the Maximum Number of People

Let us consider six neighbouring towns A, B, C, D, E, and F. The distance kij between towns i and j (in miles) is indicated in Table 3.1 for towns that have roads connecting them. The population of the towns Pi is also given in the first row of Table 3.1.

Table 3.1

Population (in thousands)

3

8

2

12

7

10

A

B

C

D

E

F

A

50

26

15

32

B

50

34

28

C

26

29

40

17

D

34

29

18

24

E

15

28

40

18

43

F

32

17

24

43

A supermarket chain wishes to set up supermarkets at two towns such that the two supermarkets are accessible to the maximum number of people of the six neighbouring towns.1 Supermarkets are considered accessible if the distance ...

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