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

Authors
Wilson, RE
Citation
Re. Wilson, An analysis of Gipps's car-following model of highway traffic, IMA J APP M, 66(5), 2001, pp. 509-537
Citations number
10
Categorie Soggetti
Mathematics
Journal title
IMA JOURNAL OF APPLIED MATHEMATICS
ISSN journal
02724960 → ACNP
Volume
66
Issue
5
Year of publication
2001
Pages
509 - 537
Database
ISI
SICI code
0272-4960(200110)66:5<509:AAOGCM>2.0.ZU;2-R
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 Resear ch 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 unsta ble regimes are identified. Finally, some numerical simulations for a varie ty of parameter regimes are presented.