0-1 (Binary) Integer LP for minimum Location distribution
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Problem E2
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:
Potential Location for Substations Areas Covered
A 1, 5, 7
B 1, 2, 5, 7
C 1, 3, 5
D 2, 4, 5
E 3, 4, 6
F 4, 5, 6
G 1, 5, 6, 7
Formulate and solve a 0-1 integer linear program model that can be used to find the minimum number of locations necessary to provide coverage to all areas. Clearly indicate your linear program model.
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Solution Summary
The solution is attached in a Word doc which includes the linear program model and an Excel solution using Excel Solver.
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