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The vehicle length effect on the traffic flow fundamental diagram

Author

Listed:
  • Marques, W.
  • Méndez, A.R.
  • Velasco, R.M.

Abstract

Recent applications of a new methodology to measure fundamental traffic relations on freeways shows that many critical parameters of the flow-density and speed-spacing diagrams depend on vehicle length. In response to this fact, this work presents a generalization of the Prigogine–Herman traffic equation for aggressive drivers which takes into account the fact that vehicles are not point-like objects but have an effective length. Our approach is similar to that introduced by Enskog for dense gases and provides the construction of fundamental diagrams which are in excellent agreement with empirical traffic data.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:phsmap:v:570:y:2021:i:c:s0378437121000571
    DOI: 10.1016/j.physa.2021.125785
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    References listed on IDEAS

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    1. Coifman, Benjamin, 2015. "Empirical flow-density and speed-spacing relationships: Evidence of vehicle length dependency," Transportation Research Part B: Methodological, Elsevier, vol. 78(C), pages 54-65.
    2. Robert L. Anderson & Robert Herman & I. Prigogine, 1962. "On the Statistical Distribution Function Theory of Traffic Flow," Operations Research, INFORMS, vol. 10(2), pages 180-196, April.
    3. Marques, W. & Méndez, A.R., 2013. "On the kinetic theory of vehicular traffic flow: Chapman–Enskog expansion versus Grad’s moment method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(16), pages 3430-3440.
    4. Coifman, Benjamin, 2014. "Revisiting the empirical fundamental relationship," Transportation Research Part B: Methodological, Elsevier, vol. 68(C), pages 173-184.
    5. 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.
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    Citations

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    Cited by:

    1. Yin, Ruyang & Zheng, Nan & Liu, Zhiyuan, 2022. "Estimating fundamental diagram for multi-modal signalized urban links with limited probe data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 606(C).

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