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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), pp. 509-537. (doi:10.1093/imamat/66.5.509).

Record type: Article


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


Local EPrints ID: 184271
ISSN: 0272-4960
PURE UUID: 0a13c3a6-8208-4eda-83c1-96a64f20087d

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Date deposited: 07 Jun 2011 09:17
Last modified: 18 Jul 2017 11:51

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