An s-shaped three-parameter (S3) traffic stream model with consistent car following relationship

Qixiu Cheng, Zhiyuan Liu*, Yuqian Lin, Xuesong (Simon) Zhou

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

67 Citations (Scopus)

Abstract

In this study, a new s-shaped three-parameter (S3) traffic flow model is proposed to represent the relationships between three fundamental variables (i.e., flow, speed, and density) in highway traffic. An s-shaped speed-density function is proposed to capture the speed-density relationship under a wide range of possible densities. A consistent car-following model was derived in terms of the proposed s-shaped speed-density function. Both the S3 macroscopic model and the derived microscopic car-following model were calibrated using real-world traffic data.

Original languageEnglish
Pages (from-to)246-271
Number of pages26
JournalTransportation Research Part B: Methodological
Volume153
Early online date13 Oct 2021
DOIs
Publication statusPublished - 1 Nov 2021

Bibliographical note

Funding Information:
The authors would like to thank Prof. Daiheng Ni at University of Massachusetts Amherst, Prof. Rui Jiang at Beijing Jiaotong University, Prof. Xiqun Chen at Zhejiang University, Dr. Xianbiao Hu at Missouri University of Science and Technology, Dr. Wuping Xin at KLD Engineering, P.C. and Mr. Jeffrey Taylor at University of Utah for their discussions, as well as the editor and three anonymous reviewers for their constructive comments. The last author would like to thank Dr. David Hale at Leidos Inc. for his discussions related to FHWA Congestion and Bottleneck Identification Tool.

Publisher Copyright:
© 2021 Elsevier Ltd

Keywords

  • Car following model
  • S3 traffic flow model
  • Speed-density function
  • Traffic flow theory

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