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Multilane traffic flow dynamics: Some macroscopic considerations

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  • Michalopoulos, Panos G.
  • Beskos, Dimitrios E.
  • Yamauchi, Yasuji

Abstract

The subject of macroscopic modelling and analysis of multilane homodirectional freeway flow is discussed in this paper. Two existing models are extended and treated numerically so that their simplifying assumptions are relaxed. Further, two new formulations are developed; the first is two dimensional with respect to space (i.e. in addition to the street length it includes the street width explicitly) while the second is one dimensional high order dynamic (i.e. it incorporates a momentum equation in order to take into acount acceleration and inertia effects). All modelling alternatives are implemented into a few exemplary situations representing uninterrupted and interrupted flow conditions. Finally, comparisons with aggregate results obtained from microscopic simulation are presented.

Suggested Citation

  • Michalopoulos, Panos G. & Beskos, Dimitrios E. & Yamauchi, Yasuji, 1984. "Multilane traffic flow dynamics: Some macroscopic considerations," Transportation Research Part B: Methodological, Elsevier, vol. 18(4-5), pages 377-395.
    • Handle: RePEc:eee:transb:v:18:y:1984:i:4-5:p:377-395
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    Cited by:

    1. Coifman, Benjamin, 2006. "Extracting More Information from the Existing Freeway Traffic Monitoring Infrastructure," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt34n479gz, Institute of Transportation Studies, UC Berkeley.
    2. HongSheng Qi & DianHai Wang & Peng Chen & YiMing Bie, 2014. "Location-Dependent Lane-Changing Behavior for Arterial Road Traffic," Networks and Spatial Economics, Springer, vol. 14(1), pages 67-89, March.
    3. Castillo, J. M. Del & Benítez, F. G., 1995. "On the functional form of the speed-density relationship--I: General theory," Transportation Research Part B: Methodological, Elsevier, vol. 29(5), pages 373-389, October.
    4. Laval, Jorge A. & Daganzo, Carlos F., 2004. "Multi-Lane Hybrid Traffic Flow Model: Quantifying the Impacts of Lane-Changing Maneuvers on Traffic Flow," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt8w70q261, Institute of Transportation Studies, UC Berkeley.
    5. Daganzo, Carlos F., 1995. "The cell transmission model, part II: Network traffic," Transportation Research Part B: Methodological, Elsevier, vol. 29(2), pages 79-93, April.
    6. Hurdle, V. F. & Son, Bongsoo, 2000. "Road test of a freeway model," Transportation Research Part A: Policy and Practice, Elsevier, vol. 34(7), pages 537-564, September.
    7. Zheng, Zuduo, 2014. "Recent developments and research needs in modeling lane changing," Transportation Research Part B: Methodological, Elsevier, vol. 60(C), pages 16-32.
    8. Laval, Jorge A. & Daganzo, Carlos F., 2006. "Lane-changing in traffic streams," Transportation Research Part B: Methodological, Elsevier, vol. 40(3), pages 251-264, March.
    9. Lu, Wenqi & Yi, Ziwei & Wu, Renfei & Rui, Yikang & Ran, Bin, 2022. "Traffic speed forecasting for urban roads: A deep ensemble neural network model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 593(C).
    10. Daganzo, Carlos F., 1995. "A finite difference approximation of the kinematic wave model of traffic flow," Transportation Research Part B: Methodological, Elsevier, vol. 29(4), pages 261-276, August.
    11. Daganzo, Carlos, 1994. "The Cell Transmission Model: Network Traffic," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt9pz309w7, Institute of Transportation Studies, UC Berkeley.
    12. Li, Zhengming & Smirnova, M.N. & Zhang, Yongliang & Smirnov, N.N. & Zhu, Zuojin, 2022. "Tunnel speed limit effects on traffic flow explored with a three lane model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 194(C), pages 185-197.
    13. Gomes, Gabriel C., 2004. "Optimization and Microsimulation of On-ramp Metering for Congested Freeways," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt95k1q411, Institute of Transportation Studies, UC Berkeley.
    14. Laval, Jorge A., 2003. "Some Properties of a Multi-Lane Extension of the Kinematic Wave Model," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt6hg2g0nq, Institute of Transportation Studies, UC Berkeley.
    15. Jin, Wen-Long, 2010. "A kinematic wave theory of lane-changing traffic flow," Transportation Research Part B: Methodological, Elsevier, vol. 44(8-9), pages 1001-1021, September.
    16. Malachy Carey & Chandra Balijepalli & David Watling, 2015. "Extending the Cell Transmission Model to Multiple Lanes and Lane-Changing," Networks and Spatial Economics, Springer, vol. 15(3), pages 507-535, September.
    17. 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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