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arXiv · 1605.08191

A macroscopic traffic flow model with phase transitions and local point constraints on the flow

Massimiliano D. Rosini·Benyahia Mohamed Ramiz
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Abstract

The two phase model for vehicular traffic flows recently appeared in \cite{goatin2006aw} and \cite{BenyahiaRosini01} is endowed with a point constraint on the flow to allow for the modelling of phenomena such as the effects of toll booths along a road. We describe in this paper two Riemann solvers for this model upon which an ulterior study of the cauchy problem should rely.

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Massimiliano D. Rosini, Benyahia Mohamed Ramiz. 2016-05-26. A macroscopic traffic flow model with phase transitions and local point constraints on the flow. https://arxiv.org/abs/1605.08191

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