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September 5, 2026Transportmetrica B Transport DynamicsOpen Access

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

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Authors

HGH. H. GideySKSemu Mitiku Kassa

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Overview

Continuum modeling study demonstrates realistic heterogeneous vehicle dynamics in multiclass traffic streams, suggesting improved traffic simulation accuracy.

Key Points

  • To develop an extended second-order multiclass traffic flow model that accounts for imperfect lane discipline and diverse speed preferences by treating slower vehicles as moving obstacles.
  • Formulated a continuum model across three distinct vehicle classes incorporating a relative drag function adapted from fluid dynamics.
  • Conducted linear stability analysis to establish analytical stability criteria for the governing hyperbolic conservation equations.
  • Evaluated model performance and numerical behavior using the Roe numerical scheme.
  • Demonstrated that the hyperbolic conservation formulation preserves the anisotropic nature of vehicular traffic.
  • Captured more realistic heterogeneous flow behaviors under disordered lane conditions compared to standard second-order models.

Cite This Study

Gidey et al. (2026) studied this question.

synapsesocial.com/papers/6a9bd3726b95aff0620eaa6bhttps://doi.org/10.1080/21680566.2026.2723904
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