Model-based assessment of the impact of driver-assist vehicles using kinetic theory

Abstract

In this paper we consider a kinetic description of follow-the-leader traffic models, which we use to study the effect of vehicle-wise driver-assist control strategies at various scales, from that of the local traffic up to that of the macroscopic stream of vehicles. We provide a theoretical evidence of the fact that some typical control strategies, such as the alignment of the speeds and the optimisation of the time headways, impact on the local traffic features (for instance, the speed and headway dispersion responsible for local traffic instabilities) but have virtually no effect on the observable macroscopic traffic trends (for instance, the flux/throughput of vehicles). This unobvious conclusion, which is in very nice agreement with recent field studies on autonomous vehicles, suggests that the kinetic approach may be a valid tool for an organic multiscale investigation and possibly design of driver-assist algorithms.

References in corpus (15)

• Dissipation of stop-and-go waves via control of autonomous vehicles: Field experiments
• Continuum limit of self-driven particles with orientation interaction
• Single-vehicle data of highway traffic - a statistical analysis
• On a kinetic model for a simple market economy
• Rigorous derivation of nonlinear scalar conservation laws from follow-the-leader type models via many particle limit
• Boltzmann type control of opinion consensus through leaders
• Phase Transitions in a kinetic flocking model of Cucker-Smale type
• Kinetic-controlled hydrodynamics for traffic models with driver-assist vehicles
• Hydrodynamic models of preference formation in multi-agent societies
• The Aw-Rascle traffic model: Enskog-type kinetic derivation and generalisations
• Multivalued fundamental diagrams of traffic flow in the kinetic Fokker-Planck limit
• Hybrid stochastic kinetic description of two-dimensional traffic dynamics
• Moment analysis of highway-traffic clearance distribution
• Control strategies for road risk mitigation in kinetic traffic modelling
• Boltzmann-type description with cutoff of Follow-the-Leader traffic models

Cited by in corpus (12)

• Uncertainty damping in kinetic traffic models by driver-assist controls
• Boltzmann-type equations for multi-agent systems with label switching
• Reconstruction of traffic speed distributions from kinetic models with uncertainties
• Multiscale control of generic second order traffic models by driver-assist vehicles
• Kinetic derivation of Aw-Rascle-Zhang-type traffic models with driver-assist vehicles
• Mean-field limit of a hybrid system for multi-lane multi-class traffic
• Macroscopic limits of non-local kinetic descriptions of vehicular traffic
• Boltzmann-type description with cutoff of Follow-the-Leader traffic models
• Kinetic-controlled hydrodynamics for multilane traffic models
• Collisionless and Decentralized Formation Control for Strings
• Microscopic and Macroscopic Traffic Flow Models including Random Accidents
• Well-posedness and propagation of chaos for multi-agent models with strategies and diffusive effects