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


Wilson, R.E. and Ward, J.A. (2011) Car-following models: fifty years of linear stability analysis - a mathematical perspective. Transportation Planning and Technology, 34, (1), 3-18. (doi:10.1080/03081060.2011.530826 ).

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Description/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

Item Type: Article
ISSNs: 0308-1060 (print)
1029-0354 (electronic)
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
Divisions: University Structure - Pre August 2011 > School of Civil Engineering and the Environment
Item ID: 184225
Date Deposited: 06 May 2011 13:57
Last Modified: 19 Jul 2012 10:12
Contributors: Wilson, R.E. (Author)
Ward, J.A. (Author)
Date: 2011
Status: Published
URI: http://eprints.soton.ac.uk/id/eprint/184225

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