568 citations · 705 across the 7 of their papers we have counts for
7 papers · 1 filter
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…
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…
An adaptive smoothing method for traffic state identification from incomplete information
Martin Treiber, Dirk Helbing
We present a new method to obtain spatio-temporal information from aggregated data of stationary traffic detectors, the ``adaptive smoothing method''. In essential, a nonlinear spa…
Micro- and Macrosimulation of Freeway Traffic
Dirk Helbing, Ansgar Hennecke, Vladimir Shvetsov +1
We present simulations of congested traffic in circular and open systems with a non-local, gas-kinetic-based traffic model and a novel car-following model. The model parameters are…
Explanation of Observed Features of Self-Organization in Traffic Flow
Martin Treiber, Dirk Helbing
Based on simulations with the ``intelligent driver model'', a microscopic traffic model, we explain the recently discovered transition from free over ``synchronized'' traffic to st…