Abstract
A major task of traffic modelling is to investigate how traffic parameters on the microscopic scale, such as reaction time and inertia, influence the macroscopic flow phenomena. In this article, we present a transformation that relates microscopic car-following models to their macroscopic continuum counterpart. For a specific type, the optimal-velocity model, it turns out that the related model is analogous in the sense that it fulfills the same linear stability criterion. Moreover, it predicts similar flow patterns for similar traffic situations as they occur at on-ramps or between platoons of vehicles of different fluxes. However, the analysis suggests that reaction time and multi-species flows may have a profound effect on the flow pattern. To date, this has rarely been taken into account in continuum models. This paper points out some of the problems and leaves some open questions regarding macroscopic traffic modelling.
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Berg, P., Wilson, E. (2003). Microscopic Parameters and Macroscopic Features of Traffic Flow. In: Emmerich, H., Nestler, B., Schreckenberg, M. (eds) Interface and Transport Dynamics. Lecture Notes in Computational Science and Engineering, vol 32. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-07969-0_32
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DOI: https://doi.org/10.1007/978-3-662-07969-0_32
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