Traffic Characterization Based on Driver Reaction

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.

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Publication Details

Journal
Mathematics
Published
2025-08-15
DOI
https://doi.org/10.3390/math13162616
Primary Topic
Traffic control and management
Type
article
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article

Traffic Characterization Based on Driver Reaction

Khurram Shehzad Khattak, Thomas Aaron Gulliver, Ahmed B. Altamimi, Shah Hussain et al.
Mathematics
Traffic control and management
article

Traffic Characterization Based on Driver Reaction

Khurram Shehzad Khattak, Thomas Aaron Gulliver, Ahmed B. Altamimi, Shah Hussain, Zawar Hussain Khan, Alaa Chabir
article en

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.

MathematicsVol. 13(16)
University of Victoria (CA), University of Ha'il (SA), University of Engineering and Technology Peshawar (PK)
Openalex Percentile: Top 74%
Traffic control and management
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Traffic Characterization Based on Driver Reaction — Khurram Shehzad Khattak, Thomas Aaron Gulliver, et al. · Mathematics (2025) | TGRS Research Map | TGRS