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A mathematical analysis is made of the optimal siting of concentric ring roads in a city so as to minimize the average distance travelled off the rings. It is found that although such ring roads are more effective if they are characterized by a higher speed of travel than the rest of the city, their optimal location is largely independent of such speed. Most of the benefit of using a series of concentric ring roads can be obtained from one or two well-placed ring roads. Optimization with respect to the average overall travel distance is also considered.
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