Contents Online
Communications in Mathematical Sciences
Volume 1 (2003)
Number 1
Vlasov-Fokker-Plank Models for Multilane Traffic Flow
Pages: 1 – 12
DOI: https://dx.doi.org/10.4310/CMS.2003.v1.n1.a1
Authors
Abstract
Systems of equations of Vlasov-Fokker-Planck type are suggested for multilane traffic flow. The equations include nonlocal and time-delayed braking and acceleration terms with rates depending on the densities and relative speeds. The braking terms include lane-change probabilities. It is shown that simple natural assumptions on the structure of these probabilities lead to multivalued fundamental diagrams, consistent with traffic observations. Lane-changing behavior is the critical ingredient in such bifunctions.
Published 1 January 2003