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The Cell Transmission Model: Network Traffic

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  • Daganzo, Carlos
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    Abstract

    This paper shows how the evolution of multicommodity traffic flows over complex networks can be predicted over time, based on a simple macroscopic computer representation of traffic flow that is consistent with the kinematic wave theory under all traffic conditions. After a brief review of the basic model for one link, the paper describes how three-legged junctions can be modeled. It then introduces a numerical procedure for networks, assuming that a time-varying origin-destination table is given and that the proportion of turns at every junction is known. These assumptions are reasonable for numerical analysis of disaster evacuation plans. The results are then extended to the case where, instead of the turning proportions, the best routes to each destination from every junction are known at all times.

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    File URL: http://www.escholarship.org/uc/item/9pz309w7.pdf;origin=repeccitec
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    Bibliographic Info

    Paper provided by Institute of Transportation Studies, UC Berkeley in its series Institute of Transportation Studies, Research Reports, Working Papers, Proceedings with number qt9pz309w7.

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    Date of creation: 01 Jan 1994
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    Handle: RePEc:cdl:itsrrp:qt9pz309w7

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    Related research

    Keywords: Traffic flow--Mathematical models; Traffic assignment--Mathematical models; Traffic congestion--Mathematical models;

    References

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    1. Horowitz, Joel L., 1984. "The stability of stochastic equilibrium in a two-link transportation network," Transportation Research Part B: Methodological, Elsevier, vol. 18(1), pages 13-28, February.
    2. Michalopoulos, Panos G. & Yi, Ping & Lyrintzis, Anastasios S., 1993. "Continuum modelling of traffic dynamics for congested freeways," Transportation Research Part B: Methodological, Elsevier, vol. 27(4), pages 315-332, August.
    3. 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.
    4. Ansorge, Rainer, 1990. "What does the entropy condition mean in traffic flow theory?," Transportation Research Part B: Methodological, Elsevier, vol. 24(2), pages 133-143, April.
    5. Newell, G. F., 1993. "A simplified theory of kinematic waves in highway traffic, part I: General theory," Transportation Research Part B: Methodological, Elsevier, vol. 27(4), pages 281-287, August.
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    Cited by:
    1. Cayford, Randall & Lin, Wei-Hua & Daganzo, Carlos F., 1997. "The Netcell Simulation Package: Technical Description," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt4j27j106, Institute of Transportation Studies, UC Berkeley.
    2. Li, Anna C.Y. & Nozick, Linda & Xu, Ningxiong & Davidson, Rachel, 2012. "Shelter location and transportation planning under hurricane conditions," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(4), pages 715-729.

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