Adele Ravagnani
Phase transition in vehicular traffic: a Boltzmann-type kinetic approach.
Rel. Andrea Tosin, Mattia Zanella. Politecnico di Torino, Corso di laurea magistrale in Physics Of Complex Systems (Fisica Dei Sistemi Complessi), 2020
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Abstract
This thesis aims at studying phase transition in vehicular traffic with a Boltzmann-type kinetic approach. Phase transition naturally emerges from the derivation of macroscopic quantities as a consequence of binary microscopic interactions. No ansatz is needed, contrary to macroscopic models. First, the kinetic traffic model is presented referring to the literature. It is based on a follow-the-leader approach and analytical results are obtained in the quasi-invariant interaction regime. Both the case with and without autonomous vehicles are considered. In particular, the introduction of autonomous vehicles is investigated as a tool to mitigate road risk and relies on a Model Predictive Control approach.
Two control strategies, which lead to different conclusions, are adopted: the binary variance and the desired speed control
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