Mathematical Modeling of Traffic Flows

Abstract

Main methods and concepts of mathematical modeling of traffic flows were reviewed. Two important lines of research—modeling of loading of urban transportation network and modeling of traffic flow dynamics—were discussed. For modeling of loading, consideration was given to the models for calculation of correspondences and distribution of flows over the network including different variants of equilibrium distribution and the optimal strategy algorithm. The main classes of dynamic models—macroscopic (hydrodynamic), kinetic, and microscopic—were examined as well.