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Multilane analysis of a viscous second-order macroscopic traffic flow model

Author

Listed:
  • Gabriel Obed Fosu

    (Presbyterian University College)

  • Francis Tabi Oduro

    (African Institute for Mathematical Sciences)

  • Carlo Caligaris

    (ACT Operations Research)

Abstract

Vehicular flow modeling has received much attention in the past decade due to the consequential effect of the increasing number of vehicles. A notable effect is the congestion on urban and semi-urban roads. Traffic flow models are often the first point of reference in addressing these congestion problems. In that regard, a new viscous second-order macroscopic model is presented to explore some dynamics of multilane traffic. The new model accounts for viscosity and the velocity differentials across infinitely many countable lanes. It is realized that the wave properties of the proposed model are analogous to the driving setting on a Ghanaian highway. This is followed by a mathematical condition to achieving a stable traffic flow. Moreover, the viscous model is recast into its discrete form to address interdependency among unique multiple lanes. A simulation result of an eight-lane infrastructure is presented to explain this conceptualization.

Suggested Citation

  • Gabriel Obed Fosu & Francis Tabi Oduro & Carlo Caligaris, 2021. "Multilane analysis of a viscous second-order macroscopic traffic flow model," Partial Differential Equations and Applications, Springer, vol. 2(1), pages 1-17, February.
    • Handle: RePEc:spr:pardea:v:2:y:2021:i:1:d:10.1007_s42985-020-00054-8
    DOI: 10.1007/s42985-020-00054-8
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    References listed on IDEAS

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