On dynamics of traffic queues in a road network with route choice based on real time traffic information

TLDR: A model is presented that describes within-one-day development of queues when drivers affected by real-time traffic information choose their paths en route, reduced to a system of differential equations with delay.

Abstract: Introducing real time traffic information into transportation network makes it necessary to consider development of queues and traffic flows as a dynamic process. This paper initiates a theoretical study of conditions under which this process is stable. A model is presented that describes within-one-day development of queues when drivers affected by real-time traffic information choose their paths en route. The model is reduced to a system of differential equations with delay. Equilibrium points of the system correspond to constant queue lengths. Stability of the system is investigated using characteristic values of the linearised minimal face flow. A traffic network example illustrating the method is provided.