TRAFFIC EQUILIBRIUM IN CONGESTED NETWORKS AND THEIR NUMERICAL SOLUTION

Optimization Formulations and Static Equilibrium in Congested Transportation Networks

In this paper we study the concepts of equilibrium and optimum in static transportation networks with elastic and non-elastic demands. The main mathematical tool of our paper is the theory of variational inequalities. We demonstrate that this theory is useful for proving the existence theorems. It also can justify Beckmann’s formulation of the equilibrium problem. The main contribution of this ...

Traffic peak spreading in congested urban environments Traffic peak spreading in congested urban environments

The paper will describe the results of research recently completed, funded by Transfund New Zealand, into the phenomenon of traffic peak spreading in congested urban environments. The work looked specifically at two facets: 4 the extent to which traffic peak spreading has been observed and the underlying behavioural aspects 4 how (if) traffic peak spreading is modeled in different countries and...

A Dynamic Traffic Assignment Model for Highly Congested Urban Networks

The management of severe congestion in complex urban networks calls for dynamic traffic assignment (DTA) models that can replicate real traffic situations with long queues and spillbacks. DynaMIT-P, a mesoscopic traffic simulation system, was enhanced and calibrated to capture the traffic characteristics in the city of Beijing, China. All demand and supply parameters were calibrated simultaneou...

Traffic Flow Models and Their Numerical Solutions

Equilibrium States in Numerical Argumentation Networks

Given an argumentation network with initial values to the arguments,we look for algorithms which can yield extensions compatible with suchinitial values. We find that the best way of tackling this problem is to offeran iteration formula that takes the initial values and the attack relationand iterates a sequence of intermediate values that eventually convergesleading to ...