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Gipps' model
Gipps’ model is a car-following model named after Peter G. Gipps who developed it in the late-1970s under S.R.C. grants at the (Transport Operations Research Group ) at the University of Newcastle-Upon-Tyne and the Transport Studies Group at the University College London. It is based directly on driver behavior and expectancy for vehicles in a stream of traffic. Limitations on driver and vehicle parameters for safety purposes mimic the traits of vehicles following vehicles in the front of the traffic stream. Gipps' model is differentiated by other models in that Gipps uses a timestep within the function equal to to reduce the computation required for numerical analysis.
==Introduction==
The method of modeling individual cars along a continuous space originates with Chandler et al. (1958), Gazis et al. (1961),〔Wilson, R.E. 2000 An analysis of Gipps' car-following model of highway traffic. IMA Journal of Applied Mathematics, 66, 509-537〕 Lee (1966) and Bender and Fenton (1972),〔Gipps, P.G. 1981 A behavioural car-following model for computer simulation. Transportation Research Board Part B, 15, 105-111〕 though many other papers proceeded and have since followed. In turn, these papers have bases in several works from the mid-1950s. Of special importance are a few that have analogies to fluid dynamics and movement of gases (Lighthill and Whitman (1955) and Richards (1956) postulated the density of traffic to be a function of position; Newell (1955) makes an analogy between vehicle motion along a sparsely populated roadway and the movement of gases). First mention of simulating traffic with “high speed computers” is given by Gerlough and Mathewson (1956) and Goode (1956).
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