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In Traffic Flow, Cellular Automata = Kinematic Waves

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  • Daganzo, Carlos F.

Abstract

This paper proves that the vehicle trajectories predicted by (i) a simple linear carfollowing model, CF(L), (ii) the kinematic wave model with a triangular fundamental diagram, KW(T), and (iii) two cellular automata models CA(L) and CA(M) match everywhere to within a tolerance comparable with a single "jam spacing". Thus, CF(L) = KW(T) = CA(L,M).

Suggested Citation

  • Daganzo, Carlos F., 2004. "In Traffic Flow, Cellular Automata = Kinematic Waves," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt8ht0z7mk, Institute of Transportation Studies, UC Berkeley.
    • Handle: RePEc:cdl:itsrrp:qt8ht0z7mk
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    References listed on IDEAS

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    1. Daganzo, Carlos F., 2003. "A Variational Formulation for a Class of First Order PDE's," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt5p54n38q, Institute of Transportation Studies, UC Berkeley.
    2. Newell, G. F., 2002. "A simplified car-following theory: a lower order model," Transportation Research Part B: Methodological, Elsevier, vol. 36(3), pages 195-205, March.
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    Cited by:

    1. Zheng, Zuduo, 2014. "Recent developments and research needs in modeling lane changing," Transportation Research Part B: Methodological, Elsevier, vol. 60(C), pages 16-32.

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