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

Benedetto Piccoli, Andrea Tosin, Mattia Zanella

Research output: Contribution to journalArticlepeer-review

26 Scopus citations

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 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 the design of driver-assist algorithms.

Original languageEnglish (US)
Article number152
JournalZeitschrift fur Angewandte Mathematik und Physik
Volume71
Issue number5
DOIs
StatePublished - Oct 1 2020

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • General Physics and Astronomy
  • Applied Mathematics

Keywords

  • Boltzmann-type equation
  • Fokker–Planck asymptotics
  • Follow-the-leader models
  • Hydrodynamic limit

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