Question: Another Set-Coving problem: Final, Fall 2017 Faisal is involved in selecting the best locations for distribution centres. The area covered includes six towns. Because of

Another Set-Coving problem: Final, Fall 2017
Another Set-Coving problem: Final, Fall 2017 Faisal is involved in selecting the best locations for distribution centres. The area covered includes six towns. Because of the proximity of some of the towns, a single distribution centre may serve more than one community. The stipulation is that the station must be within 15 minutes of driving time from the towns it serves. The following table gives the driving times in minutes among the six towns: City Olaya Wurud Mursalat Maseef Marooj Nakhil Population Olaya 0 21 14 16 18 19 30,000 Wurud 21 0 17 13 14 23 15,000 Mursalat 14 17 16 13 12 25,000 Maseef 16 13 16 17 19 12,000 Marooj 18 13 17 0 14 15,000 Nakhil 19 23 12 19 14 0 19,000 Formulate an ILP whose solution will produce the smallest number of distribution centers and their locations while emphasizing on high population areas. 0 0

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