Car-following models: fifty years of linear stability analysis - a mathematical perspective
Car-following models: fifty years of linear stability analysis - a mathematical perspective
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
3-18
Wilson, R.E.
613f4def-6dfa-4a60-8f89-4006f2059f09
Ward, J.A.
b476740b-33de-459d-90ae-5dfb62b63791
2011
Wilson, R.E.
613f4def-6dfa-4a60-8f89-4006f2059f09
Ward, J.A.
b476740b-33de-459d-90ae-5dfb62b63791
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), .
(doi:10.1080/03081060.2011.530826).
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
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Published date: 2011
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Local EPrints ID: 184225
URI: http://eprints.soton.ac.uk/id/eprint/184225
ISSN: 1029-0354
PURE UUID: fc0019eb-ad81-4c36-a6dd-a2f5d597f44b
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Date deposited: 06 May 2011 13:57
Last modified: 14 Mar 2024 03:07
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Author:
R.E. Wilson
Author:
J.A. Ward
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