A macroscopic traffic model based on relaxation time

Date

2021

Authors

Khan, Zawar Hussain
Gulliver, Thomas Aaron
Imran, Waheed
Khattak, Khurram Shehzad
Altamimi, Ahmed B.
Qazi, Azhar

Journal Title

Journal ISSN

Volume Title

Publisher

Alexandria Engineering Journal

Abstract

A macroscopic model based on analogies with Little’s Law is proposed. The relaxation time is employed to characterize changes in density. This change is large for a small relaxation time and large interactions between vehicles occur. The relaxation time encompasses driver behavior which includes the time to perceive and process traffic situations and the resulting actions. Thus, it incorporates the perception and reaction time of a driver. The proposed model is evaluated for a transition caused by a bottleneck on a road and is compared with Zhang model. Performance results are presented which show that traffic evolution with the proposed model is more realistic than with the Zhang model.

Description

Keywords

Macroscopic traffic flow, Relaxation time, Zhang model, Anisotropy, Hyperbolicity, FORCE scheme

Citation

Khan, Z. H., Gulliver, T. A., Imran, W., Khattak, K. S., Altamimi, A. B., Qazi, A. (2021). A macroscopic traffic model based on relaxation time. Alexandria Engineering Journal.