The Analyses and Applications of the Traffic Dispersion Model

In this study, we discuss the derivation, applications and the necessity of the traffic dispersion model, which is a nonlinear Poisson equation. Also, the analyses are presented in the content. The model is derived from the interaction among vehicles on a road. Therefore, the traffic pressure can be described by the model and the relation between density and the traffic pressure, which is transformed into the traffic field in this study actually. By the dispersion model, density on a multilane road can be distributed according to the interaction that makes the discussion of multilane traffic easy. If there are multiple types of driving behaviors, the density and the interaction can also be related by the model under the finite-space requirement, which describes all kinds of vehicles share the same road section. Thus, the closure relation of dynamic traffic model is obtained by the dispersion model with equilibrium relations. Furthermore, the analytical solution of linear model and analyses of the nonlinear model are presented in this study. Key-Words: Traffic Flow, Poisson Equation, Self-Consistent System, Multiclass Users, Multilane Traffic.