An analysis of Gipps's car-following model of highway traffic


Wilson, R. Eddie (2001) An analysis of Gipps's car-following model of highway traffic. IMA Journal of Applied Mathematics, 66, (5), 509-537. (doi:10.1093/imamat/66.5.509).

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Description/Abstract

A mathematical analysis of Gipps's (1981) car‐following model is performed. This model is of practical importance as it powers the UK Transport Research Laboratory highway simulation package SISTM. Uniform flow solutions and a speed–headway function are derived under simplifying conditions. A linear stability analysis of uniform flow is then performed, and stable and unstable regimes are identified. Finally, some numerical simulations for a variety of parameter regimes are presented.

Item Type: Article
ISSNs: 0272-4960 (print)
1464-3634 (electronic)
Keywords: global dynamics, linear stability, traffic flow modelling
Subjects: H Social Sciences > HE Transportation and Communications
Q Science > QA Mathematics > QA75 Electronic computers. Computer science
T Technology > TD Environmental technology. Sanitary engineering
Divisions: University Structure - Pre August 2011 > School of Civil Engineering and the Environment
ePrint ID: 184271
Date Deposited: 07 Jun 2011 09:17
Last Modified: 27 Mar 2014 19:39
URI: http://eprints.soton.ac.uk/id/eprint/184271

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