D. Theodosis, I. Karafyllis, G. Titakis, I. Papamichail and M. Papageorgiou, "Performance evaluation of cruise-controlled vehicles on a macroscopic scale," in 2023 31st Mediterranean Conference on Control and Automation (MED), Limassol, Cyprus, 2023, doi: 10.1109/MED59994.2023.10185722.
https://doi.org/10.1109/MED59994.2023.10185722
In this paper, we study the performance of a class of cruise-controllers for automated vehicles on a macroscopic scale. We first show that the solution of the corresponding second-order macroscopic model can be approximated by the solution of a nonlinear heat-type equation. To study the behavior induced on the macroscopic model by the first order approximation, we derive a conservative finite-difference scheme that respects the corresponding entropy conditions. Finally, a traffic simulation scenario and a comparison with the Lighthill-Witham-Richards (LWR) model are given, illustrating the benefits of the use of cruise-controlled vehicles.