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Deterministic models for traffic jams

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  • Nagel, Kai
  • Herrmann, Hans J.

Abstract

We study several deterministic one-dimensional traffic models. For integer positions and velocities we find the typical high and low density phases separated by a simple transition. If positions and velocities are continuous variables the model shows self-organized critically driven by the slowest car.

Suggested Citation

  • Nagel, Kai & Herrmann, Hans J., 1993. "Deterministic models for traffic jams," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 199(2), pages 254-269.
    • Handle: RePEc:eee:phsmap:v:199:y:1993:i:2:p:254-269
    DOI: 10.1016/0378-4371(93)90006-P
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    Cited by:

    1. Dailisan, Damian N. & Lim, May T., 2020. "Crossover transitions in a bus–car mixed-traffic cellular automata model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 557(C).
    2. Shagolshem, Sumanta & Bira, B. & Sil, Subhankar, 2022. "Conservation laws and some new exact solutions for traffic flow model via symmetry analysis," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).
    3. Bartolozzi, M. & Leinweber, D.B. & Thomas, A.W., 2006. "Symbiosis in the Bak–Sneppen model for biological evolution with economic applications," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 365(2), pages 499-508.
    4. Junwei Zeng & Yongsheng Qian & Bingbing Wang & Tingjuan Wang & Xuting Wei, 2019. "The Impact of Traffic Crashes on Urban Network Traffic Flow," Sustainability, MDPI, vol. 11(14), pages 1-14, July.
    5. X Chen & F B Zhan, 2008. "Agent-based modelling and simulation of urban evacuation: relative effectiveness of simultaneous and staged evacuation strategies," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(1), pages 25-33, January.

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