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The Cell Transmission Model: Network Traffic

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  • Daganzo, Carlos

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.

Suggested Citation

  • 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.
    • Handle: RePEc:cdl:itsrrp:qt9pz309w7
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    References listed on IDEAS

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    1. 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.
    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. 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.
    4. 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.
    5. 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.
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    Cited by:

    1. Daganzo, Carlos F., 2002. "A behavioral theory of multi-lane traffic flow. Part II: Merges and the onset of congestion," Transportation Research Part B: Methodological, Elsevier, vol. 36(2), pages 159-169, February.
    2. 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.
    3. Daganzo, Carlos F., 2001. "Reversibility of the Time-Dependent Shortest Path Problem," University of California Transportation Center, Working Papers qt4jm4j2d9, University of California Transportation Center.
    4. 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.
    5. 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.
    6. 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.
    7. Daganzo, Carlos F., 1999. "A Behavioral Theory of Multi-Lane Traffic Flow Part II: Merges and the Onset of Congestion," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt3qj018c9, Institute of Transportation Studies, UC Berkeley.
    8. Daganzo, Carlos F., 2002. "Reversibility of the time-dependent shortest path problem," Transportation Research Part B: Methodological, Elsevier, vol. 36(7), pages 665-668, August.
    9. Daganzo, Carlos F., 1995. "Requiem for second-order fluid approximations of traffic flow," Transportation Research Part B: Methodological, Elsevier, vol. 29(4), pages 277-286, August.
    10. Nicholas B. Taylor & Benjamin G. Heydecker, 2015. "Estimating probability distributions of dynamic queues," Transportation Planning and Technology, Taylor & Francis Journals, vol. 38(1), pages 3-27, February.
    11. Menendez, Monica & Daganzo, Carlos F., 2007. "Effects of HOV lanes on freeway bottlenecks," Transportation Research Part B: Methodological, Elsevier, vol. 41(8), pages 809-822, October.

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