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Gipps’ Model of Highway Traffic

  • R. E. Wilson
Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 1)

Abstract

We consider the car-following model introduced by P.G. Gipps (1981). This model is of practical importance as it powers the UK Transport Research Laboratory highway simulation package SISTM. Firstly, a brief derivation of the model is given in simplified circumstances. Second, we show how uniform flow solutions and a speed-headway function may be derived. Finally, we consider the linear stability of uniform flow solutions. Conditions for stability and onset of instability are derived.

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References

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    P.G. Gipps (1981) A behavioural car-following model for computer simulation. Transpn Res-B 15B: 105CrossRefGoogle Scholar
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    The Highway Code, Driving Standards Agency (1999). UK government Stationery OfficeGoogle Scholar
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    SISTM: a motorway simulation model (1993). Leaflet LF2061, Transport Research LaboratoryGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • R. E. Wilson
    • 1
  1. 1.Department of Engineering MathematicsUniversity of BristolBristolUK

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