Route crossings in urban areas

Abstract

The capacities of city streets are largely determined by the intersections. The purpose of intersections is to permit vehicles to cross each other's paths. In this paper we obtain the numbers of route crossings which occur with different types of routing, and consider the problem of selecting a set of routes which minimizes the number of route crossings on a given set of journeys. It is shown how to derive the traffic flow per unit area in any direction at any point in a city from the origin and destination matrix when drivers follow straight line routes. These 'flow densities' may be used to obtain the total intensity of travel in all directions at a point, and also the intensity of route crossings at a point. As an illustration, the flow densities are obtained for a circular city with uniformly and independently distributed origins and destinations, and the travel intensity and crossings intensity are derived from them (A).

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