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Kinetic Theory of Vehicular Traffic: Comparison with Data

Author

Listed:
  • Robert Herman

    (General Motors Research Laboratories, Warren, Michigan)

  • Tenny Lam

    (General Motors Research Laboratories, Warren, Michigan)

  • Ilya Prigogine

    (Université Libre, Bruxelles, Belgium and Center for Statistical Mechanics and Thermodynamics, University of Texas, Austin, Texas)

Abstract

The steady-state solution of a kinetic theory of vehicular traffic developed to describe the time and space evolution of the speed distribution of cars on a multiple-lane highway has been examined in the light of some observational data. A method of moments has been employed to compare the theory with the data. The order of magnitude agreement obtained between the theoretically predicted ratios of lower moments and the ratios determined from the provisional data indicates that the theoretical approach and assumptions are reasonable and consistent.

Suggested Citation

  • Robert Herman & Tenny Lam & Ilya Prigogine, 1972. "Kinetic Theory of Vehicular Traffic: Comparison with Data," Transportation Science, INFORMS, vol. 6(4), pages 440-452, November.
    • Handle: RePEc:inm:ortrsc:v:6:y:1972:i:4:p:440-452
    DOI: 10.1287/trsc.6.4.440
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    Citations

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    Cited by:

    1. Antoniou, I. & Suchanecki, Z. & Laura, R. & Tasaki, S., 1997. "Intrinsic irreversibility of quantum systems with diagonal singularity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 241(3), pages 737-772.
    2. Jing, Dian & Yao, Enjian & Chen, Rongsheng, 2023. "Moving characteristics analysis of mixed traffic flow of CAVs and HVs around accident zones," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 626(C).
    3. André de Palma, 2003. "In Memoriam: Ilya Prigogine (1917–2003)," Transportation Science, INFORMS, vol. 37(3), pages 255-256, August.
    4. Mei, Yiru & Zhao, Xiaoqun & Qian, Yeqing & Xu, Shangzhi & Li, Zhipeng, 2021. "Effect of self-stabilizing control in lattice hydrodynamic model with on-ramp and off-ramp," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 575(C).
    5. Saeedmanesh, Mohammadreza & Geroliminis, Nikolas, 2016. "Clustering of heterogeneous networks with directional flows based on “Snake” similarities," Transportation Research Part B: Methodological, Elsevier, vol. 91(C), pages 250-269.
    6. Petrosky, Tomio Y. & Prigogine, Ilya, 1988. "Poincaré's theorem and unitary transformations for classical and quantum systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 147(3), pages 439-460.
    7. Mei, Yiru & Zhao, Xiaoqun & Qian, Yeqing & Xu, Shangzhi & Li, Zhipeng, 2021. "Research on the influence of multiple historical speed information with different weight distribution on traffic flow stability," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 563(C).

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