Lagrangian-antidiffusive remap schemes for non-local multi-class traffic flow models

Antidiffusive and Random-Sampling Lagrangian-Remap Schemes for the Multiclass Lighthill-Whitham-Richards Traffic Model

The multiclass Lighthill-Whitham-Richards (MCLWR) traffic model, which distinguishes N classes of drivers differing in preferential velocity, gives rise to a system of N strongly coupled, nonlinear first-order conservation laws for the local car densities as a function of distance and time.We propose a new class of anti-diffusive schemes by splitting the system of conservation laws into two dif...

Lagrangian Multi-Class Traffic State Estimation

The road ahead will be long and the climb will be steep, but I will never terminate pursuit. Preface Traffic and transport research is truly attractive to me. To explore the problem that relates closely to our life also motivates me. This is the reason why I dive into the field of traffic science. After my bachelor graduation in engineering mechanics in Shanghai China, I came to the Netherlands...

A Class of Non-Local Models for Pedestrian Traffic

Non-oscillatory central schemes for traffic flow models with Arrhenius look-ahead dynamics

We first develop non-oscillatory central schemes for a traffic flow model with Arrhenius look-ahead dynamics, proposed in [A. Sopasakis and M.A. Katsoulakis, SIAM J. Appl. Math., 66 (2006), pp. 921–944]. This model takes into account interactions of every vehicle with other vehicles ahead (“look-ahead” rule) and can be written as a one-dimensional scalar conservation law with a global flux. The...

Probabilistic Multi-class Scene Flow Segmentation for Traffic Scenes

A multi-class traffic scene segmentation approach based on scene flow data is presented. Opposed to many other approaches using color or texture features, our approach is purely based on dense depth and 3D motion information. Using prior knowledge on tracked objects in the scene and the pixel-wise uncertainties of the scene flow data, each pixel is assigned to either a particular moving object ...