Microscopic analysis of desired-speed car-following stability

A desired-speed car-following model is proposed in this paper. The driver’s desired speed is considered so that the model can reflect the driver’s characteristics and the difference between drivers. The model can explain why different drivers maintain different speeds or spacing under the same condi...

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Bibliographic Details
Published inApplied mathematics and computation Vol. 196; no. 2; pp. 638 - 645
Main Authors Cho, Hsun-Jung, Wu, Yuh-Ting
Format Journal Article
LanguageEnglish
Published New York, NY Elsevier Inc 01.03.2008
Elsevier
Subjects
Car-following
Desired-Speed
Equilibrium
Exact sciences and technology
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Sciences and techniques of general use
Stability
Car-following
Stability
Desired-Speed
Equilibrium
Numerical analysis
Necessary and sufficient condition
Applied mathematics
Numerical stability
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Summary:A desired-speed car-following model is proposed in this paper. The driver’s desired speed is considered so that the model can reflect the driver’s characteristics and the difference between drivers. The model can explain why different drivers maintain different speeds or spacing under the same condition. The necessary and sufficient conditions for stability are discussed, and they indicate that if the driver’s desired speed is close to equilibrium speed, traffic is stable. Otherwise, if the difference between the driver’s desired speed and equilibrium speed is large, traffic may be unstable.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2007.06.029