We present two frameworks for the description of traffic flow. First, we consider the coupling of a micro- and a macroscopic models, the former consisting in a system of ordinary differential equations and the latter in the usual LWR conservation law. Then, inspired by this model, we consider a macroscopic model where some trajectories are known thanks to, for instance, GPS measurement devices. The result is a new traffic model able to take into account real time data, or, in other words, that encodes these data.

Colombo, R., Marcellini, F. (2014). ODE-PDE Models in Traffic Flow Dynamics [Working paper].

ODE-PDE Models in Traffic Flow Dynamics

MARCELLINI, FRANCESCA
Ultimo
2014

Abstract

We present two frameworks for the description of traffic flow. First, we consider the coupling of a micro- and a macroscopic models, the former consisting in a system of ordinary differential equations and the latter in the usual LWR conservation law. Then, inspired by this model, we consider a macroscopic model where some trajectories are known thanks to, for instance, GPS measurement devices. The result is a new traffic model able to take into account real time data, or, in other words, that encodes these data.
Working paper
Macroscopic Traffic Models, Hyperbolic Systems of Conservation Laws
English
2014
Colombo, R., Marcellini, F. (2014). ODE-PDE Models in Traffic Flow Dynamics [Working paper].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/58890
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