Kinetic derivation of Aw-Rascle-Zhang-type traffic models with driver-assist vehicles

@article{Dimarco2021KineticDO,
  title={Kinetic derivation of Aw-Rascle-Zhang-type traffic models with driver-assist vehicles},
  author={Giacomo Dimarco and Andrea Tosin and Mattia Zanella},
  journal={ArXiv},
  year={2021},
  volume={abs/2101.04066}
}
In this paper, we derive second order hydrodynamic traffic models from kinetic-controlled equations for driver-assist vehicles. At the vehicle level we take into account two main control strategies synthesising the action of adaptive cruise controls and cooperative adaptive cruise controls. The resulting macroscopic dynamics fulfil the anisotropy condition introduced in the celebrated Aw-Rascle-Zhang model. Unlike other models based on heuristic arguments, our approach unveils the main physical… 

References

SHOWING 1-10 OF 48 REFERENCES
Kinetic-Controlled Hydrodynamics for Traffic Models with Driver-Assist Vehicles
TLDR
A hierarchical description of traffic flow control by means of driver-assist vehicles aimed at the mitigation of speed-dependent road risk factors and the effectiveness of such a hierarchical approach at the various scales is developed.
Uncertainty damping in kinetic traffic models by driver-assist controls
In this paper, we propose a kinetic model of traffic flow with uncertain binary interactions, which explains the scattering of the fundamental diagram in terms of the macroscopic variability of
Kinetic-controlled hydrodynamics for multilane traffic models
Macroscopic traffic flow modeling with adaptive cruise control: Development and numerical solution
The Aw–Rascle Traffic Model: Enskog-Type Kinetic Derivation and Generalisations
TLDR
The celebrated Aw–Rascle model is recovered as the hydrodynamic limit of an Enskog-type kinetic equation out of a precise characterisation of the microscopic binary interactions among the vehicles.
Gas-kinetic derivation of Navier-Stokes-like traffic equations.
  • Helbing
  • Computer Science
    Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
  • 1996
TLDR
This paper shows how to construct a logically consistent fluid-dynamic traffic model from basic laws for the acceleration and interaction of vehicles from the gas-kinetic traffic equation of Paveri-Fontana.
A Macroscopic Multi-Lane Traffic Flow Model for ACC/CACC Traffic Dynamics
TLDR
An extended second-order macroscopic traffic flow model is presented that describes multi-lane traffic dynamics and also incorporates the effects of adaptive cruise control (ACC) or cooperative ACC (CACC) and satisfies the time-gap principle of such systems on each lane.
Mean-field limit of a hybrid system for multi-lane multi-class traffic
TLDR
Coupled mean-field equation and ODEs with discrete events motivated by vehicular traffic flow and the microscopic lane changing maneuver of the human-driven vehicles generates a source term to a Vlasov-type PDE.
Kinetic Derivation of Macroscopic Anticipation Models for Vehicular Traffic
TLDR
A kinetic derivation of a class of macroscopic traffic flow equations including the Aw--Rascle equations is presented including the coefficients appearing in the equations are identified from the solutions of the underlying kinetic equations.
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