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, see [5, 10]. 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, see [4]. This work follows a long collaborationwith RinaldoM. Colombo; the author thanks him for his support.
Marcellini, F. (2016). ODE-PDE models in traffic flow dynamics. BULLETIN BRAZILIAN MATHEMATICAL SOCIETY, 47(2), 533-544 [10.1007/s00574-016-0167-5].
ODE-PDE models in traffic flow dynamics
MARCELLINI, FRANCESCA
2016
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, see [5, 10]. 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, see [4]. This work follows a long collaborationwith RinaldoM. Colombo; the author thanks him for his support.
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