We develop a hierarchical description of traffic flow control by means of driver-assist vehicles aimed at the mitigation of speed-dependent road risk factors. Microscopic feedback control strategies are designed at the level of vehicle-to-vehicle interactions and then upscaled to the global flow via a kinetic approach based on a Boltzmann-type equation. Then first and second order hydrodynamic traffic models, which naturally embed the microscopic control strategies, are consistently derived from the kinetic-controlled framework via suitable closure methods. Several numerical examples illustrate the effectiveness of such a hierarchical approach at the various scales.

Kinetic-Controlled Hydrodynamics for Traffic Models with Driver-Assist Vehicles / Tosin, Andrea; Zanella, Mattia. - In: MULTISCALE MODELING & SIMULATION. - ISSN 1540-3459. - 17:2(2019), pp. 716-749. [10.1137/18M1203766]

Kinetic-Controlled Hydrodynamics for Traffic Models with Driver-Assist Vehicles

Tosin, Andrea;Zanella, Mattia
2019

Abstract

We develop a hierarchical description of traffic flow control by means of driver-assist vehicles aimed at the mitigation of speed-dependent road risk factors. Microscopic feedback control strategies are designed at the level of vehicle-to-vehicle interactions and then upscaled to the global flow via a kinetic approach based on a Boltzmann-type equation. Then first and second order hydrodynamic traffic models, which naturally embed the microscopic control strategies, are consistently derived from the kinetic-controlled framework via suitable closure methods. Several numerical examples illustrate the effectiveness of such a hierarchical approach at the various scales.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11583/2732852