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Traffic flow through multi-lane tollbooths on a toll highway

Author

Listed:
  • Komada, Kazuhito
  • Nagatani, Takashi

Abstract

We study the traffic states and queuing occurring in traffic flow on a toll highway with multi-lane tollgates. The traffic states change with increasing density and varying number of tollgates. When the manual-collection vehicles sort themselves into the tollgates, the queues occur just in front of the tollgates if the vehicular density is higher than a critical value. The queuing in front of tollgates is induced by the competition between the lane expansion and slowdown effects. When the lane expansion effect is superior to the slowdown effect, no queuing occurs. We derive the fundamental diagrams (current–density diagrams) for the traffic flow on the toll highway. The current saturates at the nearest tollgate at a low density and the saturation extends to the next-nearest tollgate with increasing density.

Suggested Citation

  • Komada, Kazuhito & Nagatani, Takashi, 2010. "Traffic flow through multi-lane tollbooths on a toll highway," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(11), pages 2268-2279.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:11:p:2268-2279
    DOI: 10.1016/j.physa.2010.01.041
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    Citations

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    Cited by:

    1. Lv, Wei & Song, Wei-guo & Fang, Zhi-ming & Ma, Jian, 2013. "Modelling of lane-changing behaviour integrating with merging effect before a city road bottleneck," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(20), pages 5143-5153.
    2. Lv, Wei & Song, Wei-guo & Liu, Xiao-dong & Ma, Jian, 2013. "A microscopic lane changing process model for multilane traffic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(5), pages 1142-1152.
    3. Velaga, Nagendra R. & Pangbourne, Kate, 2014. "Achieving genuinely dynamic road user charging: issues with a GNSS-based approach," Journal of Transport Geography, Elsevier, vol. 34(C), pages 243-253.
    4. Zhu, Wenlong & Ma, Shoufeng & Tian, Junfang, 2017. "Optimizing congestion and emissions via tradable credit charge and reward scheme without initial credit allocations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 438-448.
    5. Lv, Wei & Song, Wei-guo & Fang, Zhi-ming, 2011. "Three-lane changing behaviour simulation using a modified optimal velocity model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(12), pages 2303-2314.
    6. Chen, Binbin & Li, Wei, 2022. "Improving highway traffic performance: Merging pattern design of a departure zone after tollbooths or ETC," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 608(P1).

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