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Discontinuity at edge of traffic jam induced by slowdown

Author

Listed:
  • Nagai, Ryoichi
  • Hanaura, Hirotoshi
  • Tanaka, Katsunori
  • Nagatani, Takashi

Abstract

We study the traffic states and jams induced by a slowdown of vehicles in a single lane highway. We use an extended one of the optimal velocity model to take into account the slowdown in a section of highway. The fundamental (flow-density) diagram is calculated. The flow (current) increases linearly with density, saturates at a critical density, and then decreases with density. When the flow saturates, the discontinuous front (stationary shock wave) appears at the end of traffic jam which begins just before the section of slowdown. The position of discontinuous front moves to the upstream with increasing density. It is found that the relationship between the densities holds before and after the discontinuity, while the flow (current) keeps the saturated value. The region map of distinct jams is shown.

Suggested Citation

  • Nagai, Ryoichi & Hanaura, Hirotoshi & Tanaka, Katsunori & Nagatani, Takashi, 2006. "Discontinuity at edge of traffic jam induced by slowdown," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 364(C), pages 464-472.
    • Handle: RePEc:eee:phsmap:v:364:y:2006:i:c:p:464-472
    DOI: 10.1016/j.physa.2005.09.055
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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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