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Journal of Engineering Mathematics

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21-03-2019

A macroscopic traffic model based on driver physiological response

Authors: Z. H. Khan, T. A. Gulliver, H. Nasir, A. Rehman, K. Shahzada

Published in: Journal of Engineering Mathematics | Issue 1/2019

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Abstract

In this paper, a new traffic model is presented, which characterizes spatial changes in traffic density to align the traffic flow with forward conditions. The commonly employed Payne–Whitham (PW) model adjusts the traffic with a constant speed (velocity) regardless of the conditions, which is unrealistic. With the proposed model, the spatial density alignment is a function of the driver physiological response. As a consequence, traffic aligns quickly for an aggressive driver and slowly for a sluggish driver. Results are presented for abrupt changes in traffic density caused by a bottleneck on a circular road, which shows that the proposed model provides more realistic behavior than the PW model.

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Title: A macroscopic traffic model based on driver physiological response
Authors: Z. H. Khan
T. A. Gulliver
H. Nasir
A. Rehman
K. Shahzada
Publication date: 21-03-2019
Publisher: Springer Netherlands
Published in: Journal of Engineering Mathematics / Issue 1/2019
Print ISSN: 0022-0833
Electronic ISSN: 1573-2703
DOI: https://doi.org/10.1007/s10665-019-09990-w

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