Abstract

A new macroscopic traffic flow model is proposed, which considers driver presumption based on driver reaction and traffic stimuli. The Payne–Whitham (PW) model characterizes the traffic flow based on a velocity constant C 0 which results in unrealistic density and velocity behavior. Conversely, the proposed model characterizes traffic behavior with velocities based on the distance headway. The performance of the proposed and PW models is evaluated over a 300 m circular road for an inactive bottleneck. The results obtained show that the traffic behavior with the proposed model is more realistic.

Highlights

  • Traffic models are important in understanding traffic behavior and developing efficient traffic control strategies [1]

  • Whitham proposed a similar traffic flow model, which is known as the Payne–Whitham (PW) model

  • Payne and Whitham independently studied macroscopic traffic behavior and developed a similar model [18], which is known as the Payne–Whitham (PW) model

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Summary

A Macroscopic Traffic Model based on Driver

Khan 1 , Waheed Imran 2, * , Sajid Azeem 2 , Khurram S. Aaron Gulliver 4 and Muhammad Sagheer Aslam 2. National Institute of Urban Infrastructure Planning, University of Engineering and Technology, Peshawar 25000, Pakistan

Introduction
Traffic Flow Modeling
Roe Decomposition
Entropy Fix
Stability Analysis
Performance Results
Conclusions
Full Text
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