Top-level heading

Investigating Multi-lane Traffic Flow Models: from Micro to Macro

Categoria: 
Seminari di Modellistica Differenziale Numerica
Data e ora inizio evento: 
Data e ora fine evento: 
Aula: 
Sala di Consiglio
Sede: 

Dipartimento di Matematica Guido Castelnuovo, Università Sapienza Roma

Speaker: 

Matteo Piu (Sapienza University of Rome)

This talk is devoted to the modeling and stability of multi-lane traffic flow in both microscopic and macroscopic frameworks. Firstly, we explore the dynamics of lane changing in microscopic variables, presenting in particular a second-order microscopic hybrid model called the "Bando-Follow-the-Leader" model, in which simple lane changing conditions are proposed. Afterwards, we describe the derivation of novel first and second-order macroscopic multi-lane models that are obtained without postulating ad hoc micro-to-macro scalings. Furthermore, we investigate the equilibria for such models and establish conditions for their stability. Finally, we discuss some numerical tests.