The Hamilton County Local Government has eight sectors which need fire protection. Adequate Fire protection can be provided in each sector either by building a fire station in that sector, or by  building a fire station in another sector which is no more than a 12-minute drive away. The time to drive between the centers of each pair of sectors is given in the following table. (Because of one-way streets and left turns the times are not symmetric.) The cost to build a fire station is the  same in each sector.              Formulate an integer programming model to choose which sectors should have their own fire station.   Solve the model by using Excel Solver.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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The Hamilton County Local Government has eight sectors which need fire protection. Adequate
Fire protection can be provided in each sector either by building a fire station in that sector, or by 
building a fire station in another sector which is no more than a 12-minute drive away. The time
to drive between the centers of each pair of sectors is given in the following table. (Because of
one-way streets and left turns the times are not symmetric.) The cost to build a fire station is the 
same in each sector.           

 

Formulate an integer programming model to choose which sectors should have their own fire station.

 

Solve the model by using Excel Solver.

 

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