Pragmatic Best Placement of Points within Polygon

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I am looking to plot the ideal placement of police vehicles within a specific precinct (polygon). Rather than placing them myself, calculating a buffer of travel time (e.g. within 3 minutes), and using trial and error I'd like for the best placement to be determined pragmatically. By the ideal placement I mean the positions of the points (cars) that covers the highest percentage of the roads within the polygon.

Is there a way to accomplish this using Python/model builder?

Thanks!



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