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The research thematic is about modelling, analysis and simulation of systems of agents in interaction. Application rely on optimisation and control of road traffic flow, autonomous and connected driving, and pedestrian and evacuation dynamics.

Pedestrian and vehicle flows are both dynamical systems of self-driven agents interacting locally with a partial knowledge of the environment. They are complex in the sense that the performances of the system can generally not be directly deduced from the individual behaviors of the agents. Non-linear phenomena, phase transitions, self-organised collective dynamic, such as collective motion, lane formation or stop-and-go waves, and other paradoxes are frequently observed.

We develop and analyse mathematical models and numerical simulation tools using systems of differential equations, stochastic processes, or data-based algorithms to evaluate, control and optimise safety and performance of pedestrian and vehicular traffic flows and traffic networks. We empirically calibrated and validate the models using experimental and field data and statistcial methods. The objective is to predict traffic states and to devise intelligent traffic solutions, and also to understand traffic dynamics and especially collective dynamics.


Modelling      Analysis   →   Simulation   →   Validation   →   Optimisation  


Academic collaborations

Prof. Dr. Hanno Gottschalk (Mathematics Institute)                             Uni. Wuppertal
Prof. Dr. Barbara Rüdiger (Mathematics Institute)
Dr. Martin Friesen  (Mathematics Institute)
Prof. Dr. Kathrin Klamroth (Mathematics Institute)
Prof. Dr. Stefan Bracke (Mechanical and Safety Engineering Institute)
Dr. Marcin Hinz (Mechanical and Safety Engineering Institute)

Prof. Dr. Armin Seyfried (FZ Jülich, IEC7)                               Nordrhein Westphalen
Dr. Mohcine Chraibi (FZ Jülich, IEC7)
Prof. Dr. Andreas Schadschneider (Universität zu Köln, Physics Institute)
Prof. Dr. Michael Herty (RWTH Aachen, Applied Mathematics Institute)
Prof. Dr. Frank Gronwald (University Siegen, Electrotechnics Institute)
Dr. Sylvain Lassarre (University Paris-Est)                                              International
Dr. Jean-Patrick Lebacque (University Paris-Est)
Prof. Dr. Michel Roussignol (University Paris-Est)
Prof. Dr. Jun Zhang (University of Science and Technology of China)


Trajectory data (freely available)
Experimental trajectory data of pedestrians, see the database by Prof. Seyfried in Forschungszentrum Jülich and at the University of Wuppertal. See also the software PeTrack for automatic pedestrian video tracking.

Field trajectory data of road vehicles: NGSIM Project (American highways und urban roads) HighD Dataset (German highways)


Softwares (freely available)
R – Statistical computing and graphics (open-source)                        
NetLogo – Simulation of multi-agent systems
JuPedSim – Simulation and analysis of pedestrian models
Eclipse SUMO – Simulation of Urban MObility