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

An analysis of Gipps's car-following model of highway traffic
An analysis of Gipps's car-following model of highway traffic
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.
global dynamics, linear stability, traffic flow modelling
0272-4960
509-537
Wilson, R. Eddie
01d7f1f2-f8ee-4661-b713-dcefcddb89bd
Wilson, R. Eddie
01d7f1f2-f8ee-4661-b713-dcefcddb89bd

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).

Record type: Article

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.

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More information

Published date: 1 October 2001
Keywords: global dynamics, linear stability, traffic flow modelling

Identifiers

Local EPrints ID: 184271
URI: http://eprints.soton.ac.uk/id/eprint/184271
DOI: doi:10.1093/imamat/66.5.509
ISSN: 0272-4960
PURE UUID: 0a13c3a6-8208-4eda-83c1-96a64f20087d

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Date deposited: 07 Jun 2011 09:17
Last modified: 14 Mar 2024 03:07

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Author: R. Eddie Wilson

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