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Modeling multi-lane traffic flow with queuing effects

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  • Helbing, Dirk

Abstract

On the basis of assumptions about the behavior of driver-vehicle units concerning acceleration, deceleration, overtaking, and lane-changing maneuvers, a gas-kinetic traffic model for unidirectional multi-lane freeways is constructed. Queuing effects are explicitly taken into account in an overall manner. The resulting model is a generalization of Paveri-Fontana's Boltzmann-like traffic model and allows the derivation of macroscopic traffic equations for interacting lanes, including velocity equations. The related effective macroscopic traffic model for the total free-way cross-section is also derived. It provides corrections with respect to previous traffic models, but agrees with them in special cases.

Suggested Citation

  • Helbing, Dirk, 1997. "Modeling multi-lane traffic flow with queuing effects," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 242(1), pages 175-194.
    • Handle: RePEc:eee:phsmap:v:242:y:1997:i:1:p:175-194
    DOI: 10.1016/S0378-4371(97)00183-0
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    References listed on IDEAS

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    1. P. K. Munjal & L. A. Pipes, 1971. "Propagation of On-Ramp Density Waves on Uniform Unidirectional Multilane Freeways," Transportation Science, INFORMS, vol. 5(4), pages 390-402, November.
    2. Hilliges, Martin & Weidlich, Wolfgang, 1995. "A phenomenological model for dynamic traffic flow in networks," Transportation Research Part B: Methodological, Elsevier, vol. 29(6), pages 407-431, December.
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    Cited by:

    1. Ngoduy, D., 2021. "Noise-induced instability of a class of stochastic higher order continuum traffic models," Transportation Research Part B: Methodological, Elsevier, vol. 150(C), pages 260-278.
    2. Lu, Jing & Osorio, Carolina, 2024. "Link transmission model: A formulation with enhanced compute time for large-scale network optimization," Transportation Research Part B: Methodological, Elsevier, vol. 185(C).
    3. Lv, Wei & Song, Wei-guo & Fang, Zhi-ming & Ma, Jian, 2013. "Modelling of lane-changing behaviour integrating with merging effect before a city road bottleneck," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(20), pages 5143-5153.
    4. Zheng, Liang & Jin, Peter J. & Huang, Helai, 2015. "An anisotropic continuum model considering bi-directional information impact," Transportation Research Part B: Methodological, Elsevier, vol. 75(C), pages 36-57.
    5. Hoogendoorn, Serge P. & Bovy, Piet H. L., 2001. "Generic gas-kinetic traffic systems modeling with applications to vehicular traffic flow," Transportation Research Part B: Methodological, Elsevier, vol. 35(4), pages 317-336, May.
    6. 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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