Improved stability bound for steady-state flow in a car-following model of road traffic on a circular route.
This note revisits a car-following model of road traffic on a circular route that was studied in recent literature, and improves a stability result for steady-state flows that was obtained in this literature. It will be shown through a counter example that the stability bound obtained in the literature only gives a sufficient condition for stability, which only becomes necessary when the number of cars on the route tends to infinity. We will further present a result that gives a necessary and sufficient condition for stability.
Huijberts
H J C
HJ
Department of Engineering, Queen Mary University of London, Mile End Road, London E1 4NS, United Kingdom. h.j.c.huijberts@qmul.ac.uk