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Some Properties of a Multi-Lane Extension of the Kinematic Wave Model

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  • Laval, Jorge A.

Abstract

This paper extends an existing continuum multi-lane formulation for traffic flow, provides a discrete formulation for its numerical solution, and show initial results. The new formulation enables a natural treatment of boundary conditions such as merges, diverges, lane-drops and moving bottlenecks. The proposed model needs few extra parameters and is parsimonious. The look-ahead distance, for example, induces that non-local conditions affect the flow at any time-space point, causing smooth regime changes and fast waves. We find that as the look-ahead distance tends to zero, the solution tends to the KW one. The example of a lane-drop is analyzed.

Suggested Citation

  • 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.
    • Handle: RePEc:cdl:itsrrp:qt6hg2g0nq
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    1. Daganzo, Carlos F. & Lin, Wei-Hua & Del Castillo, Jose M., 1997. "A simple physical principle for the simulation of freeways with special lanes and priority vehicles," Transportation Research Part B: Methodological, Elsevier, vol. 31(2), pages 103-125, April.
    2. 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.
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    Cited by:

    1. 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.
    2. 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.

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