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An alternative model in traffic flow equations

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  • Méndez, A.R.
  • Velasco, R.M.

Abstract

The kinetic theory for traffic flow equations can be approached using the Grad's method. This method, which is derived from the kinetic gas theory, was developed for the Paveri-Fontana equation when a special desired velocity model is assumed. A closure relation for the set of macroscopic equations is found when the density, the average velocity and the velocity variance are the relevant variables chosen to describe the system. Simulation results are also shown and a qualitative comparison with other models in the literature is presented.

Suggested Citation

  • Méndez, A.R. & Velasco, R.M., 2008. "An alternative model in traffic flow equations," Transportation Research Part B: Methodological, Elsevier, vol. 42(9), pages 782-797, November.
    • Handle: RePEc:eee:transb:v:42:y:2008:i:9:p:782-797
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    References listed on IDEAS

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    1. Helbing, Dirk, 1996. "Derivation and empirical validation of a refined traffic flow model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 233(1), pages 253-282.
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    Cited by:

    1. Cen, Bing-ling & Xue, Yu & Xia, Yu-xian & Zhang, Kun & Zhou, Ji, 2024. "Analysis of the macroscopic effect of a driver’s desired velocity on traffic flow characteristics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 637(C).
    2. Marques, W. & Méndez, A.R. & Velasco, R.M., 2021. "The vehicle length effect on the traffic flow fundamental diagram," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 570(C).

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