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Traffic Characterization Based on Driver Reaction

Author

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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 S. Khattak

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

  • Ahmed B. Altamimi

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

  • Thomas Aaron Gulliver

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

  • Alaa Chabir

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

  • Shah Hussain

    (Department of Mathematics, College of Science, University of Háil, Háil 55476, Saudi Arabia)

Abstract

A macroscopic model for nonhomogeneous traffic is introduced that incorporates relaxation time and lateral time headway, and accounts for driver reaction time. Driver reaction is based on models of real-world nonhomogeneous traffic flow in Pakistan and Iran. A lateral time headway model is obtained using lane change data to characterize traffic during lane changes. The performance of the proposed model is compared with the well-known Payne–Whitham (PW) model on a 3000 m circular road using the FORCE numerical scheme. The results show that the initial multi-cluster density distribution evolves more realistically and accurately with the proposed model. Thus, it can be used to aid in traffic congestion mitigation for on-ramps and off-ramps.

Suggested Citation

  • Zawar Hussain Khan & Khurram S. Khattak & Ahmed B. Altamimi & Thomas Aaron Gulliver & Alaa Chabir & Shah Hussain, 2025. "Traffic Characterization Based on Driver Reaction," Mathematics, MDPI, vol. 13(16), pages 1-22, August.
  • Handle: RePEc:gam:jmathe:v:13:y:2025:i:16:p:2616-:d:1725044
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    References listed on IDEAS

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