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PROFESSUR FÜR VERKEHRSÖKONOMETRIE UND -STATISTIK
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Dr. Treiber

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Vita


Traffic
Simulation
(Version 5.0)

Multi-
Model
Simulator
MovSim

Routing and ramp-metering games

3D simulator
(beta)

Book page (German)

3D-Traffic
Movies

Simulating Jams at Vasaloppet

Projekte
(German)


VL Verkehrsdyn.
und -simulation

Statistik I

Statistik II

Verkehrs-
ökonometrie
(Bachelor)

Verkehrs-
ökonometrie
(Master)

Praktika, Seminar-
Diplom- und
Dr.-Arbeiten


Finanz-Seite

 'Clip' to my Private Home Page

Dr. Martin Treiber's Institute Page






Institute for Traffic Econometrics, Modelling, and Statistics                                                                                        

Research Fields

Who was not yet amazed by traffic jams or stop-and-go waves, seemingly appearing ''out of nothing'', without any obvious cause? We investigate these instabilities and other aspects of nonlinear traffic dynamics by developing and simulating mathematical models:
  • Microscopic traffic models describe the motion of each individual vehicle. This has some analogy to multi-particle models of physical systems.
  • Macroscopic models describe the dynamics of locally averaged quantities like the density of vehicles, speed, and speed variance. The corresponding equations have some analogies to the Navier-Stokes equations of fluid dynamics. In our case, the analogy can be stressed even further: The equations of our models were derived from a kinetic equation
The results should help prevent at least some of the traffic jams by providing effective algorithms for a dynamical, i.e., traffic-dependent control of
  • speed limits
  • overtaking restrictions
  • green phases of street lights in cities
  • ramp metering
Further applications of traffic flow modeling include
  • providing the vehicular movement background for scientific traffic simulators used in psychological investigations of the driving behaviour, or for realistic hardware-in-the-loop testing of vehicle-to-vehicle communication protocols,
  • assessing the impact of novel driver-assistance systems (such as adaptive-cruise-control) on the efficiency of traffic flow
  • model-based traffic-state recognition and prediction for improving the reliability of dynamic routing recommendations, or modern traffic-dependent navigation systems,
  • simulating fuel consumption and emissions in different situations. For example, a traffic jam may increase the travel times by a factor of three while the increase in CO2 emissions may be less than 50%.
  


M. Treiber and A. Kesting
Traffic Flow Dynamics
Springer, 2013, XII+503 pages,
194 illus. (54 in color), hardcover
ISBN: 978-3-642-32459-8

Significantly expanded from the German textbook.
M. Treiber und A. Kesting
Verkehrsdynamik und -simulation: Daten, Modelle und Anwendungen der Verkehrsflussdynamik
Springer-Lehrbuch, 2010, XII, 368 S. 176 Abb., 56 in Farbe., Softcover ISBN: 978-3-642-05227-9

See also the Author's Website with simulations (German)

Examples

You can get information about the actual progress by looking at my recent publications.

To get an impression, simulate two-lane traffic with a continuous "microscopic" model. You will see, how the interplay of perturbations and bottlenecks together with a high traffic flow will cause various types of traffic breakdowns.

Martin Treiber (treiber)