Micro- and Macrosimulation of Freeway Traffic (2000)
Helbing, Dirk, Hennecke, Ansgar, Shvetsov, Vladimir, Treiber, Martin
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 all intuitive and...
Congested Traffic States in Empirical Observations and Microscopic Simulations (2000)
Treiber, Martin, Hennecke, Ansgar, Helbing, Dirk
We present data from several German freeways showing different kinds of congested traffic forming near road inhomogeneities, specifically lane closings, intersections, or uphill gradients. The states...
Congested Traffic States in Empirical Observations and Microscopic Simulations (2000)
Martin Treiber, Ansgar Hennecke, Dirk Helbing
We present data from several German freeways showing different kinds of congested traffic forming near road inhomogeneities, specifically lane closings, intersections, or uphill gradients. The states...
Derivation, Properties, and Simulation of a Gas-Kinetic-Based, Non-Local Traffic Model (1999)
Treiber, Martin, Hennecke, Ansgar, Helbing, Dirk
We derive macroscopic traffic equations from specific gas-kinetic equations, dropping some of the assumptions and approximations made in previous papers. The resulting partial differential equations...
Phase Diagram of Traffic States in the Presence of Inhomogeneities (1998)
Helbing, Dirk, Hennecke, Ansgar, Treiber, Martin
We present a phase diagram of the different kinds of congested traffic that are triggered by disturbances when passing ramps or other spatial inhomogeneities of a freeway. The simulation results...
MASTER: macroscopic traffic simulation based on a gas-kinetic, non-local traffic model
Helbing, Dirk, Hennecke, Ansgar, Shvetsov, Vladimir, Treiber, Martin
We present a gas-kinetic (Boltzmann-like) traffic equation that is not only suited for low vehicle densities, but also for the high-density regime, as it takes into account the forwardly directed...