Car-following models: fifty years of linear stability analysis -- a mathematical perspective

R.E. Wilson and J.A. Ward

Transportation Planning and Technology, 2010, vol. 34, issue 1, 3-18

Abstract: A general framework for car-following models is developed and its linear stability properties are analysed. The concepts of uniform flow, platoon stability and string stability are introduced and criteria which test for them are developed. Finally, string instability is divided into absolute, convective upstream and convective downstream sub-classes, and a procedure is developed to distinguish between them.

Date: 2010
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DOI: 10.1080/03081060.2011.530826

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