MATTEO PIU

PhD Graduate

PhD program:: XXXV


supervisor: Prof. Fabio Camilli
advisor: Gabriella Puppo

Thesis title: Multi-lane models for vehicular traffic flow

This dissertation focuses on the mathematical modeling of traffic flow, with special emphasis on multi-lane models in the microscopic and macroscopic scales. First, an overview on the modelling of micro and macro single-lane and multi-lane models is provided, also discussing the connection between the two scales of representation in the micro-to-macro limit. Furthermore, a second order multi-lane microscopic hybrid model is proposed, providing simple lane changing conditions and investigating the stability of the equilibria with the careful design of the lane changing rules. Finally, a novel first order multi-lane macroscopic model is introduced, derived from microscopic dynamics with lane changing, leading to a coupled system of hyperbolic balance laws. The macroscopic limit is derived without assuming ad hoc space and time scalings. The analysis of the stability of the equilibria of the macroscopic model is discussed. Several numerical tests are presented, which confirm the theoretical results and include an application in simulations of a realistic traffic scenario. A numerical comparison with other existing traffic models is also reported.

Research products

11573/1700209 - 2023 - Derivation and Stability Analysis of a Macroscopic Multilane Model for Traffic Flow
Piu, M.; Herty, M.; Puppo, G. - 01a Articolo in rivista
paper: SIAM JOURNAL ON APPLIED MATHEMATICS (Society for Industrial and Applied Mathematics:3600 University City Science Center:Philadelphia, PA 19104:(800)447-7426, (215)382-9800, EMAIL: service@siam.org, INTERNET: http://www.siam.org, Fax: (215)386-7999) pp. 2052-2072 - issn: 0036-1399 - wos: WOS:001108600300002 (0) - scopus: 2-s2.0-85177485198 (0)

11573/1657689 - 2022 - Stability analysis of microscopic models for traffic flow with lane changing
Piu, Matteo; Puppo, Gabriella Anna - 01a Articolo in rivista
paper: NETWORKS AND HETEROGENEOUS MEDIA () pp. - - issn: 1556-1801 - wos: WOS:000863905500001 (3) - scopus: 2-s2.0-85134267651 (5)

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