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Travel time estimation by urgent-gentle class traffic flow model

Author

Listed:
  • Zhang, Yongliang
  • Smirnova, M.N.
  • Bogdanova, A.I.
  • Zhu, Zuojin
  • Smirnov, N.N.

Abstract

To estimate travel time through a ring road, an urgent-gentle class traffic flow model (UGM) with viscoelastic and ramp effects is developed. Vehicles in traffic flow are divided into urgent and gentle categories, and the urgent class has the demand of arriving at destination in time, while the gentle class hasn’t. It is assumed that the urgent and gentle classes have the same instantaneous speed to simply the mathematical modeling. To validate the proposed traffic model, a Navier–Stokes like model (Zhang, 2003) is further extended just for validating the present model. Numerical simulations based on the present model are carried out to calculate the travel time on a ring road with total length of 80 km and four initially assumed jams. It was found that similar to the effect of initially assumed jams, the on/off ramp flows play significant roles in the formation and evolution of traffic flow patterns. Urgent density fraction propagates at local traffic speed, its temporal evolution and spatial distribution curves have different shapes as compared with that of traffic density and speed. The average travel time increases monotonically with the increase of ring road initial density. Rational management of road operation is necessary.

Suggested Citation

  • Zhang, Yongliang & Smirnova, M.N. & Bogdanova, A.I. & Zhu, Zuojin & Smirnov, N.N., 2018. "Travel time estimation by urgent-gentle class traffic flow model," Transportation Research Part B: Methodological, Elsevier, vol. 113(C), pages 121-142.
    • Handle: RePEc:eee:transb:v:113:y:2018:i:c:p:121-142
    DOI: 10.1016/j.trb.2018.05.010
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    Cited by:

    1. Hu, Zejing & Smirnova, M.N. & Zhang, Yongliang & Smirnov, N.N. & Zhu, Zuojin, 2021. "Estimation of travel time through a composite ring road by a viscoelastic traffic flow model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 181(C), pages 501-521.
    2. Li, Zhengming & Smirnova, M.N. & Zhang, Yongliang & Smirnov, N.N. & Zhu, Zuojin, 2022. "Tunnel speed limit effects on traffic flow explored with a three lane model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 194(C), pages 185-197.
    3. Peng, Guanghan & Luo, Chunli & Zhao, Hongzhuan & Tan, Huili, 2023. "Jamming transition in two-lane lattice model integrating the deception attacks on influx during the lane-changing process under vehicle to everything environment," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    4. Veronika Harantová & Ambróz Hájnik & Alica Kalašová, 2020. "Comparison of the Flow Rate and Speed of Vehicles on a Representative Road Section before and after the Implementation of Measures in Connection with COVID-19," Sustainability, MDPI, vol. 12(17), pages 1-17, September.

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