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Optimal control method of freeway based on tollbooths lane configuration and variable speed limit control

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  • Yuan, Naitong
  • Ma, Minghui
  • Liang, Shidong
  • Wang, Wenjie
  • Zhang, Hu

Abstract

There are tollbooths on some freeway ramps, and toll lanes can be divided into Electronic Toll Collection (ETC), Manual Toll Collection system (MTC), ETC/MTC hybrid toll lanes and closed. The traffic capacity of different lanes is different. Different lane combinations are set to adjust the traffic flow of the ramp into the main line. Therefore, this strategy can be regarded as a kind of ramp metering (RM). This paper presents an optimal control method for freeways based on tollbooths lanes configuration and variable speed limit (VSL) control. Firstly, cellular automata model and cell transmission model are used to describe the operation of toll plazas and main line traffic flow respectively. Furthermore, the freeway control methods are constructed by using tollbooths RM (TB-RM) and TB-RM combined with main line VSL control respectively to improve the freeway traffic operation efficiency. Finally, the proposed method is simulated experimentally. Results from simulation experiments demonstrate that the proposed method (i) significantly improves the traffic performance in terms of total time spent savings; (ii) observably enhances driving safety.

Suggested Citation

  • Yuan, Naitong & Ma, Minghui & Liang, Shidong & Wang, Wenjie & Zhang, Hu, 2022. "Optimal control method of freeway based on tollbooths lane configuration and variable speed limit control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 603(C).
  • Handle: RePEc:eee:phsmap:v:603:y:2022:i:c:s037843712200526x
    DOI: 10.1016/j.physa.2022.127801
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    References listed on IDEAS

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    1. Qian, Y.S. & Shao, X.M. & Zeng, J.W. & Wang, M., 2013. "An improved cellular automaton model with the consideration of a multi-point tollbooth," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(23), pages 5874-5878.
    2. Chen, Jing & Lin, Lan & Jiang, Rui, 2017. "Assigning on-ramp flows to maximize capacity of highway with two on-ramps and one off-ramp in between," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 347-357.
    3. Smulders, Stef, 1990. "Control of freeway traffic flow by variable speed signs," Transportation Research Part B: Methodological, Elsevier, vol. 24(2), pages 111-132, April.
    4. Ye, Lanhang & Yamamoto, Toshiyuki, 2019. "Evaluating the impact of connected and autonomous vehicles on traffic safety," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 526(C).
    5. Boronico, Jess S. & Siegel, Philip H., 1998. "Capacity planning for toll roadways incorporating consumer wait time costs," Transportation Research Part A: Policy and Practice, Elsevier, vol. 32(4), pages 297-310, May.
    6. Levinson, David & Chang, Elva, 2003. "A model for optimizing electronic toll collection systems," Transportation Research Part A: Policy and Practice, Elsevier, vol. 37(4), pages 293-314, May.
    7. Yang, Haifei & Zhai, Xue & Zheng, Changjiang, 2018. "Effects of variable speed limits on traffic operation characteristics and environmental impacts under car-following scenarios: Simulations in the framework of Kerner’s three-phase traffic theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 567-577.
    8. Sheu, Jiuh-Biing, 2007. "Stochastic modeling of the dynamics of incident-induced lane traffic states for incident-responsive local ramp control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 386(1), pages 365-380.
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    Cited by:

    1. He, Ziliang & Wang, Ling & Su, Zicheng & Ma, Wanjing, 2024. "Integrating variable speed limit and ramp metering to enhance vehicle group safety and efficiency in a mixed traffic environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 641(C).
    2. Jin, Zuan & Ma, Minghui & Liang, Shidong & Yao, Hongguang, 2024. "Differential variable speed limit control strategy consider lane assignment at the freeway lane drop bottleneck," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 633(C).

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