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Jam formation with line changing at two tollgates on a highway

Author

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  • Nagatani, Takashi

Abstract

We present the stochastic model for queueing at two tollgates with line changing of vehicles to take into account fluctuating inflow and outflow. We study the jam formation and its transition in front of two tollgates on a highway. The line changing between two queues of vehicles has an important effect on the jam formation. The jams are classified into three kinds: (a) localized jam, (b) line-changing jam, and (c) growing jam. The jamming transitions among different jams occur at two stages with increasing inflow rate. At the first transition point, the jamming transition from the localized jam to the line-changing jam occurs. When the inflow rate is higher than the sum of outflow rates at two tollgates, two jams continue to grow and diverge with time. At the second transition point, the jamming transition from the line-changing jam to the growing jam occurs. The dependence of the transition points on the choice probability is clarified.

Suggested Citation

  • Nagatani, Takashi, 2014. "Jam formation with line changing at two tollgates on a highway," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 416(C), pages 596-603.
    • Handle: RePEc:eee:phsmap:v:416:y:2014:i:c:p:596-603
    DOI: 10.1016/j.physa.2014.09.024
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    Cited by:

    1. Dailisan, Damian N. & Lim, May T., 2019. "Vehicular traffic modeling with greedy lane-changing and inordinate waiting," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 715-723.
    2. Li, Chuan-Yao & Sun, Qi-Jia, 2019. "Influence of coarse toll on the dynamic properties of traffic flow in a single-entry traffic corridor," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    3. Li, Chuan-Yao & Huang, Hai-Jun & Tang, Tie-Qiao, 2017. "Analysis of user equilibrium for staggered shifts in a single-entry traffic corridor with no late arrivals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 474(C), pages 8-18.
    4. 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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