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A New Continuum Model considering Driving Behaviors and Electronic Throttle Effect on a Gradient Highway

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  • Yulei Jiao
  • Rongjun Cheng
  • Hongxia Ge

Abstract

In order to explore the potential impact of sloping road on traffic flow, an improved car-following model considering electronic throttle (ET) dynamics and driver’s driving characteristics on slope is proposed. Based on the improved car-following model, a new continuum model is established through the conversion relationship between microscopic variables and macroscopic variables. Firstly, the stability condition of the model is obtained by using the linear stability theory, after that the evolution process of traffic flow density wave near the neutral stability curve is studied by using the nonlinear analysis method, and we also get the improved KdV-Burgers equation. At the same time, numerical experiments and experimental verification of the model are carried out; the theoretical analysis and numerical results show that the ET effect and aggressive driving of drivers play an important role in alleviating traffic congestion to a certain extent.

Suggested Citation

  • Yulei Jiao & Rongjun Cheng & Hongxia Ge, 2020. "A New Continuum Model considering Driving Behaviors and Electronic Throttle Effect on a Gradient Highway," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-22, May.
  • Handle: RePEc:hin:jnlmpe:2172156
    DOI: 10.1155/2020/2172156
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    Cited by:

    1. Lyu, Hao & Cheng, Rongjun & Ge, Hongxia, 2022. "Bifurcation analysis of an extended macro model considering time delay and anticipation effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 585(C).
    2. Yin, Jiacheng & Li, Zongping & Cao, Peng & Li, Linheng & Ju, Yanni, 2023. "Car-following modeling based on Morse model with consideration of road slope in connected vehicles environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 622(C).
    3. Junyan Han & Xiaoyuan Wang & Gang Wang, 2022. "Modeling the Car-Following Behavior with Consideration of Driver, Vehicle, and Environment Factors: A Historical Review," Sustainability, MDPI, vol. 14(13), pages 1-27, July.
    4. Jafaripournimchahi, Ammar & Cai, Yingfeng & Wang, Hai & Sun, Lu & Yang, Biao, 2022. "Stability analysis of delayed-feedback control effect in the continuum traffic flow of autonomous vehicles without V2I communication," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 605(C).

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