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Research

The research thematic is about modelling, analysis and scientific computing of self-driven particle systems. Pedestrian and road traffic flow 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. Paradoxes, phase transitions and collective phenomena, such as lane formation, traffic waves and stop-and-go waves, intermittence, alternance or oscillation, are frequently observed.

We develop in the chair models, mathematical methods and simulation tools to evaluate or optimise dynamically the safety and performance level of road traffic flow, traffic networks, model predictive control and automated vehicles, pedestrian and evacuation dynamics and other self-driven particle systems in physics and social science.

Modelling      Analysis   →   Simulation   →   Validation    

          

Keywords
Dynamical system; Self-driven particle system; Pedestrian dynamics; Traffic flow; Complex system; Collective behavior and auto-organisation; Phase transition
Tools:  Differential equation system (SDE, DDE, PDE); Stochastic, delayed process; Interacting particle system; Directed graph; Artificial neural network
Methods:  Numerical analysis and simulation; Stabilitity analysis; Homogenization; Micro/macro scaling; Robustness and sensitivity analysis; Statistical analysis
Applications:  Autonomous driving; Pedestrian and evacuation dynamics; Stop-ang-go waves, lane formation and other collective phenomena; Large scale simulation; Traffic network optimisation; Traffic fuel consumption and pollutant emission

     

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)
Dr. Flurin Hänseler (TU Delft)

                

 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.

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

   

Softwares (freely available)
R – Statistical computing and graphics r-project.org (open-source)                         
NetLogo – Simulation of multi-agent systems ccl.northwestern.edu/netlogo
JuPedSim – Simulation and analysis of pedestrian models jupedsim.org
Eclipse SUMO – Simulation of Urban MObility dlr.de