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Criteria for convective versus absolute string instability in car-following models

Record type: Article

The linear stability properties of car-following models of highway traffic are analysed. A general family of models is introduced and the subsequent analysis developed in terms of its partial derivatives. Two measures of wave propagation, namely (i) the group velocity and (ii) the signal velocity, are introduced and computed. These measures are used to classify how instability propagates disturbances, measured relative to the frame of the road along which the vehicles drive. Detector data suggest that disturbances should propagate only in an upstream direction (convective upstream instability), and it is shown how to parametrize models to agree with data and avoid unrealistic downstream propagation (absolute and convective downstream instability).

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Citation

Ward, Jonathan A. and Wilson, R. Eddie (2011) Criteria for convective versus absolute string instability in car-following models Proceedings of the Royal Society Series A: Mathematical, Physical and Engineering Sciences (doi:10.1098/rspa.2010.0437).

More information

Published date: 20 August 2011
Keywords: highway traffic, car-following models, instability, wave propagation

Identifiers

Local EPrints ID: 184665
URI: http://eprints.soton.ac.uk/id/eprint/184665
ISSN: 1364-5021
PURE UUID: e88cda31-3efc-4eb9-92f1-2517e9ab4929

Catalogue record

Date deposited: 06 May 2011 10:20
Last modified: 18 Jul 2017 11:51

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Contributors

Author: Jonathan A. Ward
Author: R. Eddie Wilson

University divisions


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