Gipps’ Model of Highway Traffic

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


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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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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