568 citations · 858 across the 10 of their papers we have counts for
4 papers · 1 filter
Evaluation of Single Vehicle Data in Dependence of the Vehicle-Type, Lane, and Site
Benno Tilch, Dirk Helbing
In this paper we study dependencies of fundamental diagrams, time gap distributions, and velocity-distance relations on vehicle types, lanes and/or measurement sites. We also propo…
Numerical Simulation of Macroscopic Traffic Equations
Dirk Helbing, Martin Treiber
Macroscopic traffic simulations are based on coupled non-linear partial differential equations, the solutions of which are either shock-like or inhomogeneous with steep gradients,…
Self-Organised Optimality in Driven Systems with Symmetrical Interactions
Dirk Helbing, Tamas Vicsek
Extremal principles are fundamental in our interpretation of phenomena in nature. One of the best known examples is the second law of thermodynamics, governing most physical and ch…
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…