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Traffic jam and discontinuity induced by slowdown in two-stage optimal-velocity model

Author

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  • Tanaka, Katsunori
  • Nagai, Ryoichi
  • Nagatani, Takashi

Abstract

We study the traffic states and jams induced by a slowdown of vehicles in a single-lane highway. The two-stage optimal velocity model is used in which the optimal velocity function has two turning points. The fundamental (flow-density) diagrams are calculated. At low density, the flow (current) increases linearly with density, while it saturates at some values of intermediate density. When the flow saturates, the discontinuous front (stationary shock wave) appears before or within the section of slowdown. The values of saturated flow are determined by the extreme values of theoretical current curves. The relationship between the densities is derived before and after the discontinuity.

Suggested Citation

  • Tanaka, Katsunori & Nagai, Ryoichi & Nagatani, Takashi, 2006. "Traffic jam and discontinuity induced by slowdown in two-stage optimal-velocity model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 370(2), pages 756-768.
    • Handle: RePEc:eee:phsmap:v:370:y:2006:i:2:p:756-768
    DOI: 10.1016/j.physa.2006.02.025
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    Citations

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    Cited by:

    1. Zhang, Lele & de Gier, Jan & Garoni, Timothy M., 2014. "Traffic disruption and recovery in road networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 401(C), pages 82-102.
    2. Wu, Chun-Xiu & Zhang, Peng & Wong, S.C. & Choi, Keechoo, 2014. "Steady-state traffic flow on a ring road with up- and down-slopes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 403(C), pages 85-93.
    3. Sheu, Jiuh-Biing & Wu, Hsi-Jen, 2015. "Driver perception uncertainty in perceived relative speed and reaction time in car following – A quantum optical flow perspective," Transportation Research Part B: Methodological, Elsevier, vol. 80(C), pages 257-274.

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