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

R E Wilson

Research output: Working paperWorking paper and Preprints

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Abstract

A mathematical analysis of P G Gipps' (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.
Original languageEnglish
Publication statusPublished - 2001

Bibliographical note

Additional information: Preprint of a paper later published by Oxford University Press (2001), IMA Journal of Applied Mathematics, 66(5), pp.509-537, ISSN 0272-4960

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