This master’s thesis gives a brief overview of mathematical modelling of traffic flow from different perspectives. Focus lies on the fluid flow analogy first derived by Lighthill, Whitham and Richards (LWR) in the 1950’s which treats a traffic stream as a compressible one-dimensional fluid. The LWR theory is applied to bottleneck queueing situations, more specifically to junctions with one outg...

This paper deals with the modelling of vehicular traffic flow by methods of the discrete mathematical kinetic theory. The discretization is developed in the velocity space by a grid adapted to the local density. The discretization overcomes, at least in part, some technical difficulties related to the selection of the correct representation scale, while the adaptative grid allows an improved de...

The theory of a jamming transition is proposed for the homogeneous car-following model within the framework of the Lorenz scheme. We represent a jamming transition as a result of the spontaneous deviations of headway and velocity that is caused by the acceleration/braking rate to be higher than the critical value. The stationary values of headway and velocity deviations and time of acceleration...

With the rapid development of the Internet, P2P has become the main network application in the Internet, which consumes most of the network resources. Accurately identifying and making control of the P2P traffic is of great significance. As a mature classification theory, support vector machine (SVM) algorithm is suitable for P2P traffic identification. This paper proposes a SVM based P2P flow ...

A traffic flow model based on stochastic microscopic dynamics is presented. At the same time a new parameterization approach based on information theory is introduced and tested under actual non-equilibrium traffic data. The proposed model is shown to be valid for all traffic regimes but most importantly it is used to underscore a not so well known or understood source of modeling error for cla...