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Towards a Macroscopic Modelling of the Complexity in Traffic Flow

S. Rosswog·P. Wagner
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Abstract

We present a macroscopic traffic flow model that extends existing fluid-like models by an additional term containing the second derivative of the safe velocity. Two qualitatively different shapes of the safe velocity are explored: a conventional Fermi-type function and a function exhibiting a plateau at intermediate densities. The suggested model shows an extremely rich dynamical behaviour and shows many features found in real-world traffic data.

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S. Rosswog, P. Wagner. 2001-10-04. Towards a Macroscopic Modelling of the Complexity in Traffic Flow. https://doi.org/10.1103/physreve.65.036106

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