Journal article

Traffic flow densities in large transport networks

C Hirsch, B Jahnel, P Keeler, RIA Patterson

Advances in Applied Probability | Published : 2017


Abstract We consider transport networks with nodes scattered at random in a large domain. At certain local rates, the nodes generate traffic flows according to some navigation scheme in a given direction. In the thermodynamic limit of a growing domain, we present an asymptotic formula expressing the local traffic flow density at any given location in the domain in terms of three fundamental characteristics of the underlying network: the spatial intensity of the nodes together with their traffic generation rates, and of the links induced by the navigation. This formula holds for a general class of navigations satisfying a link-density and a sub-ballisticity condition. As a specific example, w..

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University of Melbourne Researchers

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