Grave City is considering the relocation of several police substations to obtain better enforcement in high-crime areas. The locations under consideration together with the areas that can be covered from these locations are given in the following table:   a) Formulate an integer programming model that could be used to find the minimum number of locations necessary to provide coverage to all areas. b) Solve the problem in part (a).

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section5.5: Shortest Path Models
Problem 30P
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Grave City is considering the relocation of several police substations to obtain better enforcement in
high-crime areas. The locations under consideration together with the areas that can be covered from
these locations are given in the following table:

 

a) Formulate an integer programming model that could be used to find the minimum number of
locations necessary to provide coverage to all areas.
b) Solve the problem in part (a). 

Potential Locations
for Substations
ABCDEFG
Areas Covered
1,5,7
1,2,5, 7
1,3,5
2,4,5
3,4,6
4,5,6
1,5,6,7
Transcribed Image Text:Potential Locations for Substations ABCDEFG Areas Covered 1,5,7 1,2,5, 7 1,3,5 2,4,5 3,4,6 4,5,6 1,5,6,7
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