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A macroscopic traffic model based on driver physiological response

Authors
  • Khan, Z. H.
  • Gulliver, T. A.
  • Nasir, H.
  • Rehman, A.
  • Shahzada, K.
Type
Published Article
Journal
Journal of Engineering Mathematics
Publisher
Springer Netherlands
Publication Date
Mar 21, 2019
Volume
115
Issue
1
Pages
21–41
Identifiers
DOI: 10.1007/s10665-019-09990-w
Source
Springer Nature
Keywords
License
Yellow

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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