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Impact of Driver Anticipation on Traffic at a Ramp in Foggy Conditions

Author

Listed:
  • Zawar Hussain Khan

    (Department of Computer Engineering, College of Computer Science and Engineering, University of Háil, Háil 55476, Saudi Arabia)

  • Khurram Shehzad Khattak

    (Department of Computer Systems Engineering, University of Engineering and Technology, Peshawar 25000, Pakistan)

  • Thomas Aaron Gulliver

    (Department of Electrical and Computer Engineering, University of Victoria, STN CSC, P.O. Box 1700, Victoria, BC V8W 2Y2, Canada)

Abstract

A new macroscopic traffic model is proposed based on visibility distance and the time to collision (TTC) in foggy conditions. The TTC is obtained from real traffic data. It is shown that the proposed model is hyperbolic and has a well-posed solution. Further, it is string stable. The proposed and Payne–Witham (PW) models are implemented in MATLAB R2019b using the first-order upwind numerical scheme and evaluated over a 3000 m circular road with a ramp at 1500 m. The results show that the proposed model can effectively characterize traffic in poor visibility, while the PW model provides unrealistic results. Thus, the proposed model can be used to accurately predict traffic behavior and alleviate congestion in foggy conditions.

Suggested Citation

  • Zawar Hussain Khan & Khurram Shehzad Khattak & Thomas Aaron Gulliver, 2025. "Impact of Driver Anticipation on Traffic at a Ramp in Foggy Conditions," Mathematics, MDPI, vol. 13(17), pages 1-24, September.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:17:p:2855-:d:1741882
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