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- W2962756396 abstract "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, we verify these conditions for navigations arising from a directed spanning tree on a Poisson point process with inhomogeneous intensity function." @default.
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- W2962756396 date "2017-11-17" @default.
- W2962756396 modified "2023-09-25" @default.
- W2962756396 title "Traffic flow densities in large transport networks" @default.
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- W2962756396 doi "https://doi.org/10.1017/apr.2017.35" @default.
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