Traffic state estimation (TSE) refers to the process of the inference of traffic state variables
(ie, flow, density, speed and other equivalent variables) on road segments using partially …

Freeway traffic control is a broad research area, not only interesting for its applicative
perspective, but also highly motivating for theoretical investigations. This research topic has …

During the past half century, modern control theory has developed greatly and many
branches and subfields have emerged, for example, linear system theory, optimal control …

Although the “first order” continuum theory of highway traffic proposed by Lighthill and
Whitham (1955) and Richards (1956)—the LWR model—can predict some things rather …

The validity of existing higher-order continuum models has been seriously challenged in
recent literature. A primary objection to these models is that they exhibit gas-like behavior …

It is of course trite to say that transportation networks are the arteries of the economy and that
without them civilisation as we know it could not exist. Given the size and importance of the …

This paper presents a review and critical analysis of the mathematical literature concerning
the modeling of vehicular traffic and crowd phenomena. The survey of models deals with the …

A new continuum traffic flow model is developed in this paper based on an improved car-
following model. In this new continuum model, the speed gradient replaces the density …

A microscopic mathematical model of freeway traffic flow is applied to a 6 km stretch of the
Boulevard Périphérique in Paris including several on-ramps and off-ramps. The model is …

This note contributes to the discussion on the current state and the prospectives of
macroscopic traffic flow modelling. It is argued that macroscopic traffic flow models may …