A Boltzmann-type kinetic approach to the modeling of vehicular traffic

Andrea Tosin
Consiglio Nazionale delle Ricerche (CNR)

In this talk I will present a kinetic approach to the modeling of vehicular traffic. Sticking to the idea that the macroscopic characteristics of traffic flow are ultimately generated by one-to-one interactions among drivers, the approach consists in linking the changes of speed of single vehicles to binary interactions among drivers, implementing then a probabilistic description of such microscopic interactions in a Boltzmann-type collisional operator. In particular, I will discuss how this approach allows one to study the fundamental diagrams of traffic, possibly considering a heterogeneous composition of the flow of vehicles, the traffic flow on single roads as well as on road networks, up to some preliminary ideas on traffic safety issues.

Presentation (PDF File)

Back to Workshop I: Mathematical Foundations of Traffic