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

Zawar Hussain Khan (), Khurram Shehzad Khattak and Thomas Aaron Gulliver
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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

Mathematics, 2025, vol. 13, issue 17, 1-24

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.

Keywords: macroscopic model; visibility; time to collision; traffic ramp; foggy conditions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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