Kinetic-controlled hydrodynamics for traffic models with driver-assist vehicles
This work provides a theoretical framework for integrating driver-assist vehicle control into macroscopic traffic models, relevant for traffic engineering and autonomous vehicle research.
The paper develops a hierarchical framework for traffic flow control using driver-assist vehicles to mitigate speed-dependent road risk factors, deriving hydrodynamic models from microscopic control strategies via a kinetic approach. Numerical examples demonstrate the effectiveness of the approach.
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.