568 citations · 705 across the 7 of their papers we have counts for
11 papers
Analytical investigation of oscillations in intersecting flows of pedestrian and vehicle traffic
Dirk Helbing, Rui Jiang, Martin Treiber
In two intersecting many-particle streams, one can often find the emergence of oscillatory patterns. Here, we investigate the interaction of pedestrians with vehicles, when they tr…
Analytical Investigation of Innovation Dynamics Considering Stochasticity in the Evaluation of Fitness
Dirk Helbing, Martin Treiber, Nicole J. Saam
We investigate a selection-mutation model for the dynamics of technological innovation,a special case of reaction-diffusion equations. Although mutations are assumed to increase th…
Delays, Inaccuracies and Anticipation in Microscopic Traffic Models
Martin Treiber, Arne Kesting, Dirk Helbing
We generalize a wide class of time-continuous microscopic traffic models to include essential aspects of driver behaviour not captured by these models. Specifically, we consider (i…
Fokker-Planck equation approach to vehicle statistics
Dirk Helbing, Martin Treiber
This contribution presents a derivation of the steady-state distribution of velocities and distances of vehicles in freeway traffic which has been suggested for the evaluation of i…
Critical Discussion of "Synchronized Flow", Simulation of Pedestrian Evacuation, and Optimization of Production Processes
D. Helbing, I. Farkas, D. Fasold +2
We critically discuss the concept of ``synchronized flow'' from a historical, empirical, and theoretical perspective. Problems related to the measurement of vehicle data are highli…
Microsimulations of Freeway Traffic Including Control Measures
Martin Treiber, Dirk Helbing
Using a recently developed microscopic traffic model, we simulate how speed limits, on-ramp controls, and vehicle-based driver-assistance systems influence freeway traffic. We pres…