Analysis of heterogeneous vehicular traffic: Using proportional densities

This paper presents a multi-class Aw-Rascle (AR) model with area occupancy expressed in terms of vehicle class proportions. Two vehicle classes that is; cars and motorcycles are considered based on an assumption that proportions of these form total traffic density. Qualitative properties of the proposed equilibrium velocity are established. Conditions under which the proposed model is stable are determined by linear stability analysis. To compute numerical flux, the model is decomposed by original Roe decomposition, where Roe matrix, averaged data variables and wave strengths are explicitly derived. The Roe matrix is shown to be hyperbolic, consistent and conservative. From the numerical results, the effect of proportional densities on the flow of vehicle classes is determined. Results obtained remain within limits therefore, the proposed model is realistic.

Automated summary

This paper presents a multi-class Aw-Rascle (AR) model with area occupancy expressed in terms of vehicle class proportions. The qualitative properties of the proposed equilibrium velocity and the stability conditions of the model are established. The numerical results show the effect of proportional densities on the flow of vehicle classes, indicating the realism of the proposed model.