Dynamic network flow models describe network-structured, decision-making problems over
time. They are of interest because of their numerous applications and intriguing dynamic …

The paper presents an idealised dynamical model of day-to-day or within-day re-routeing
using splitting rates at nodes, or node-exit flows, rather than route-flows. It is shown that …

Many responsive traffic signal control strategies are “pressure-driven”. These strategies
move green-time from stages with a lower pressure to stages with a higher pressure, at each …

This paper describes the implementation of a framework for incorporating detailed models of
intersection operation into a user-optimal route choice model. It is assumed that signal …

Of relevance to urban transportation planning in a scenario studied here are the choices of
5000 motorists among 55 parking lots and garages when travelling to one of 13 destinations …

A space-time network is developed that represents traffic flows over time for a capacitated
road transportation system having one-way and two-way streets. Traffic signal lights are …

The paper considers traffic assignment, with traffic controls, in an increasingly dynamic way.
First, a natural way of introducing the responsive policy, P o, into steady state traffic …

We formulate a joint dynamical traffic system that encompasses both route choice and traffic
control in which the signal controller interacts with and adapts to the route choices of …

This paper presents idealised natural general and more special dynamical models of day-to-
day re-routeing and of day to day green-time response. Both green-time response models …

This paper presents a novel idealised dynamical model of day to day traffic re-routeing (as
traffic seeks cheaper routes) and proves a stability result for this dynamical model.(The …