Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2000-03-15
Mathematical and Computer Modelling 35, 517-547 (2002)
Physics
Condensed Matter
Statistical Mechanics
41 pages, 22 figures. Paper invited by Mathematical and Computer Modelling. For related work see http://www.helbing.org/ and
Scientific paper
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 can be easily calibrated. Micro- and macrosimulations with these models for identical vehicles on a single lane produce the same traffic states, which also qualitatively agree with empirical traffic observations. Moreover, the phase diagrams of traffic states in the presence of bottlenecks for the microscopic car-following model and the macroscopic gas-kinetic-based model almost agree. In both cases, we found metastable regimes, spatially coexistent states, and a small region of tristability. The distinction of different types of vehicles (cars and long vehicles) yields additional insight and allows to reproduce empirical data even more realistically, including the observed fluctuation properties of traffic flows like the wide scattering of congested traffic data. Finally, as an alternative to the gas-kinetic approach, we propose a new scheme for deriving non-local macroscopic traffic models from given microscopic car-following models. Assuming identical (macroscopic) initial and boundary conditions, we show that there are microscopic models for which the corresponding macroscopic version displays an almost identical dynamics. This enables us to combine micro- and macrosimulations of road sections by simple algorithms, and even to simulate them simultaneously.
Helbing Dirk
Hennecke Ansgar
Shvetsov Vladimir
Treiber Martin
No associations
LandOfFree
Micro- and Macrosimulation of Freeway Traffic does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Micro- and Macrosimulation of Freeway Traffic, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Micro- and Macrosimulation of Freeway Traffic will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-551093