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On the Kinetic Theory of Traffic Flow in the Case of a Nonnegligible Number of Queueing Vehicles

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  • Maria Lampis

    (Istituto di Matematica del Politecnico, Milano, Italia)

Abstract

The interaction term of the Prigogine kinetic equation of traffic flow is modified in order to account for the existence of a nonnegligible number of queueing vehicles. The speed distribution of the queues is introduced for this purpose. New equations are obtained for a stationary homogeneous flow. The new model is compared with the Prigogine theory and with available experimental data.

Suggested Citation

  • Maria Lampis, 1978. "On the Kinetic Theory of Traffic Flow in the Case of a Nonnegligible Number of Queueing Vehicles," Transportation Science, INFORMS, vol. 12(1), pages 16-28, February.
    • Handle: RePEc:inm:ortrsc:v:12:y:1978:i:1:p:16-28
    DOI: 10.1287/trsc.12.1.16
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    Cited by:

    1. Helbing, Dirk & Hennecke, Ansgar & Shvetsov, Vladimir & Treiber, Martin, 2001. "MASTER: macroscopic traffic simulation based on a gas-kinetic, non-local traffic model," Transportation Research Part B: Methodological, Elsevier, vol. 35(2), pages 183-211, February.

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