This paper investigates the stability of the classical car-following model (for example, Chandler et al., Operations Research, 6, 165-184, 1958; Herman et al., Operations Research, 7, 86-106, 1959; Wilhelm and Schmidt, Transportation Engineering Journal (ASCE) 99, 923-933, 1973). Conditions for local...

One of the key aims of traffic management is to encourage drivers to follow an efficient routing pattern (i.e. a set of routes that collectively minimise the potential for delays and accidents and possibly also minimise travel distance). At present, little is known about the relative merits of...

The total number of path crossings between vehicles following different routes on a road network can be taken as a rough proxy for congestion and accident risk. It is therefore useful to identify ways of routing traffic in the plane such that the numbers of crossings are minimised; these can serve...