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Transportmetrica B Transport Dynamics· 2026Q1

Extended second-order multi-class traffic flow model with the relative drag function

H. H. Gidey, Semu Mitiku Kassa

Short summary

A new second-order multi-class traffic flow model introduces a 'relative drag function' to account for lane discipline violations and heterogeneous speeds, showing more realistic heterogeneous traffic behavior.

AI-generated from the title and abstract; the full text is not read.

Key points

  • Introduces a 'relative drag function' to model interactions between different vehicle classes in traffic flow.
  • The model accounts for lane discipline violations and heterogeneous speed choices.
  • It extends second-order multi-class traffic flow models into a hyperbolic conservation system.
  • Numerical evaluation using the Roe scheme shows the model captures more realistic heterogeneous traffic behavior.

AI-generated from the title and abstract; the full text is not read.

Abstract

In heterogenous traffic flow the interaction between different vehicle classes play an important role. This article deals with the extension of second order multiclass traffic flow models to accommodate some violation of lane discipline and heterogeneous choice of speeds in a traffic stream. It proposes a continuum model for the interaction of different classes of vehicles in the traffic based on the concept of a moving obstacle from fluid dynamics. Using the assumption that the slow vehicles can be considered as moving obstacles to the fastest ones a relative drag function is introduced in the dynamics of the velocity of each respective classes. The proposed model considers three different vehicle classes and it is shown to express a hyperbolic conservation system which preserves the anisotropic nature of vehicles. A stability criterion of the model is obtained using the linear stability analysis. The performance of the model is evaluated using the Roe numerical scheme. The results show that the heterogeneous traffic behaviour with this new model is more realistic.

The authors' abstract, as published at the source. Transportmetrica B Transport Dynamics, 2026 · DOI ↗

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Field: Control and Systems Engineering

Control and Systems EngineeringEngineering