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Congested traffic patterns of two-lane lattice hydrodynamic model with partial reduced lane

Author

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  • Zhang, Yi-cai
  • Xue, Yu
  • Shi, Yin
  • Guo, Yan
  • Wei, Fang-ping

Abstract

In this paper, we proposed a lattice hydrodynamic traffic model to study the congested traffic patterns on two-lane with the partial reduced lane via considering the upstream–downstream density difference and lane-changing rule. Using the lattice hydrodynamic model with the partial reduced lane for numerical simulation, various complex congested traffic patterns such as triggered stop-and-go (TSG), pinned localized cluster (PLC), oscillatory congested traffic (OCT), homogeneous congested traffic (HCT), homogeneous synchronized traffic (HST) and moving localized cluster (MLC) can be reproduced. Moreover, it is found that the sensitive coefficient λ of the upstream–downstream density difference plays a main role in generating these congested traffic patterns.

Suggested Citation

  • Zhang, Yi-cai & Xue, Yu & Shi, Yin & Guo, Yan & Wei, Fang-ping, 2018. "Congested traffic patterns of two-lane lattice hydrodynamic model with partial reduced lane," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 502(C), pages 135-147.
  • Handle: RePEc:eee:phsmap:v:502:y:2018:i:c:p:135-147
    DOI: 10.1016/j.physa.2018.02.049
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    References listed on IDEAS

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    1. Peng, G.H., 2012. "A study of wide moving jams in a new lattice model of traffic flow with the consideration of the driver anticipation effect and numerical simulation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(23), pages 5971-5977.
    2. Tang, Tie-Qiao & Yu, Qiang & Liu, Kai, 2017. "Analysis of the traffic running cost in a two-route system with feedback strategy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 466(C), pages 1-9.
    3. Nagatani, Takashi, 1998. "Modified KdV equation for jamming transition in the continuum models of traffic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 261(3), pages 599-607.
    4. Nagatani, Takashi, 1999. "TDGL and MKdV equations for jamming transition in the lattice models of traffic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 264(3), pages 581-592.
    5. Gupta, A.K. & Katiyar, V.K., 2006. "Phase transition of traffic states with on-ramp," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 371(2), pages 674-682.
    6. Nagatani, Takashi, 1999. "Jamming transitions and the modified Korteweg–de Vries equation in a two-lane traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 265(1), pages 297-310.
    7. Redhu, Poonam & Gupta, Arvind Kumar, 2015. "Jamming transitions and the effect of interruption probability in a lattice traffic flow model with passing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 421(C), pages 249-260.
    8. Tang, Chang-Fu & Jiang, Rui & Wu, Qing-Song, 2007. "Phase diagram of speed gradient model with an on-ramp," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 377(2), pages 641-650.
    9. Ge, Hong-Xia & Cheng, Rong-Jun, 2008. "The “backward looking” effect in the lattice hydrodynamic model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(28), pages 6952-6958.
    10. Yu, Shaowei & Shi, Zhongke, 2015. "The effects of vehicular gap changes with memory on traffic flow in cooperative adaptive cruise control strategy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 428(C), pages 206-223.
    11. Tang, Tie-Qiao & Yu, Qiang & Liu, Kai, 2016. "Analysis of the traffic running cost under random route choice behavior in a network with two routes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 449(C), pages 408-415.
    12. Zhu, Wen-Xing & Zhang, Li-Dong, 2014. "A speed feedback control strategy for car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 413(C), pages 343-351.
    13. Nassab, K. & Schreckenberg, M. & Boulmakoul, A. & Ouaskit, S., 2006. "Effect of the lane reduction in the cellular automata models applied to the two-lane traffic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 369(2), pages 841-852.
    14. Zhang, Li-Dong & Zhu, Wen-Xing, 2015. "Delay-feedback control strategy for reducing CO2 emission of traffic flow system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 428(C), pages 481-492.
    15. Zhu, Wen-Xing & Zhang, Li-Dong, 2016. "Analysis of car-following model with cascade compensation strategy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 449(C), pages 265-274.
    16. Cheng, Rongjun & Ge, Hongxia & Wang, Jufeng, 2017. "KdV–Burgers equation in a new continuum model based on full velocity difference model considering anticipation effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 481(C), pages 52-59.
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