A novel model for intersections of vehicular traffic flow
Michael Herty J.-P. Lebacque S. Moutari
Networks & Heterogeneous Media 2009, 4(4): 813-826 doi: 10.3934/nhm.2009.4.813
This paper deals with intersections' modeling for vehicular traffic flow governed by the Lighthill $\&$ Whitham [24] and Richards [26] model. We present a straightforward reformulation of recent intersections' models, introduced in [19] and [4], using a description in terms of supply and demand functions [22, 6]. This formulation is used to state the new model which takes into account a possible storage capacity of an intersection as seen in roundabouts or highway on-ramps. We discuss the Riemann problem at the junction and present numerical simulations.
keywords: macroscopic traffic flow models mathematical modeling. Traffic flow

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