Arabian Journal for Science and Engineering

, Volume 44, Issue 5, pp 5151–5163 | Cite as

A Macroscopic Traffic Model Based on Anticipation

  • Zawar H. KhanEmail author
  • T. Aaron Gulliver
Research Article - Civil Engineering


In this paper, a new traffic model is presented which considers spatial changes in traffic density to characterize the traffic flow during transitions. The commonly employed Zhang model adjusts the traffic according to the gradient of the equilibrium velocity distribution during transitions regardless of the interaction between vehicles, maximum road density (capacity), or driver sensitivity. As a consequence, the resulting speed and flow can be unrealistic. With the proposed model, the speed and traffic flow during transitions are a function of the headway, traffic density, and velocity profile. Results are presented for discontinuous traffic densities caused by a bottleneck along a circular road which show that this model eliminates the unrealistic behavior of the Zhang model.


Macroscopic traffic flow Anticipation Zhang model Payne–Witham (PW) model 


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This project has been supported by the Higher Education Commission, Pakistan, under the establishment of the National Center of Big Data and Cloud Computing at the University of Engineering and Technology, Pakistan.


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© King Fahd University of Petroleum & Minerals 2019

Authors and Affiliations

  1. 1.Department of Electrical EngineeringUniversity of Engineering and TechnologyPeshawarPakistan
  2. 2.Department of Electrical and Computer EngineeringUniversity of VictoriaVictoriaCanada

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