The focus is on a mathematical model of highway traffic. It is considered 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. The fundamental premise of Gipps' model is that drivers choose their speeds according to the following behavioural rule. What speed should I travel at now, given the behaviour of the vehicle in front one reaction time ago. If the vehicle in front comes to a stop at what I think is its hardest rate, and one reaction time later I commence braking at my hardest rate, I must come to a stop safely. Second, it is shown how uniform flow solutions and a speed-headway function may be derived. Finally, it is considered the linear stability of uniform flow solutions. Conditions for stability and onset of instability are derived.
Gipps' model of highway traffic
2002
5 Seiten, 1 Bild, 7 Quellen
Aufsatz (Konferenz)
Englisch
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