The Nagel-Schreckenberg model revisited

@article{Schadschneider1999TheNM,
  title={The Nagel-Schreckenberg model revisited},
  author={A. Schadschneider},
  journal={The European Physical Journal B - Condensed Matter and Complex Systems},
  year={1999},
  volume={10},
  pages={573-582}
}
  • A. Schadschneider
  • Published 1999
  • Physics
  • The European Physical Journal B - Condensed Matter and Complex Systems
Abstract:The Nagel-Schreckenberg model is a simple cellular automaton for a realistic description of single-lane traffic on highways. For the case υmax=1 the properties of the stationary state can be obtained exactly. For the more relevant case υmax > 1, however, one has to rely on Monte Carlo simulations or approximative methods. Here we study several analytical approximations and compare with the results of computer simulations. The role of the braking parameter p is emphasized. It is shown… Expand
A VARIED FORM OF THE NAGEL–SCHRECKENBERG MODEL
By making slight changes of the Nagel–Schreckenberg model, we propose a varied model for a realistic description of the traffic flow on single-lane highways. While the NaSch model fails to cover theExpand
Mean-field theory for the Nagel-Schreckenberg model with overtaking strategy
TLDR
The main results are that the reason why traffic flow is increased in the regime where densities exceed the maximum flow density is found, and the influence of traffic flow on the transition density is dominated by the braking probability. Expand
CAR-ORIENTED MEAN-FIELD THEORY REVISITED
We study the Car-Oriented Mean-Field approximation (COMF) to the Nagel–Schreckenberg model in the case of vmax=3. The self-consistent equations are obtained. The solution is reached by the method ofExpand
Random walk theory of jamming in a cellular automaton model for traffic flow
The jamming behavior of a single lane traffic model based on a cellular automaton approach is studied. Our investigations concentrate on the so-called VDR model which is a simple generalization ofExpand
Critical behaviour of a cellular automaton highway traffic model
We derive the critical behaviour of a cellular automaton traffic flow model using an order parameter breaking the symmetry of the jam-free phase. Random braking appears to be the symmetry-breakingExpand
Analysis of a cellular automaton model for car traffic with a slow-to-stop rule
TLDR
This work proposes a modification of the widely known Benjamin-Johnson-Hui cellular automaton model for single-lane traffic simulation that includes a 'slow-to-stop' rule that exhibits more realistic microscopic driver behaviour than the BJH model. Expand
Analytical Solution of Traffic Cellular Automata Model
TLDR
This study simulates traffic flow by the NaSch model under different combination of parameters, which are maximal speed, dawdling probability and density, and obtains the analytical solution of traffic CA. Expand
Relating the dynamics of road traffic in a stochastic cellular automaton to a macroscopic first-order model
TLDR
This paper describes a relation between a microscopic traffic cellular automaton (TCA) model and the macroscopic first-order hydrodynamic model of Lighthill, Whitham, and Richards (LWR) and indicates that, in the presence of noise, the capacity flows in the derived fundamental diagram are overestimations of those of the STCA model. Expand
Fundamental diagram of a one-dimensional cellular automaton model for pedestrian flow — the ASEP with shuffled update
A one-dimensional cellular automaton model for pedestrian flow that describes the movement of pedestrians in a long narrow corridor is investigated. The model is equivalent to the asymmetric simpleExpand
A Cellular Automaton Model for Car Traffic with a Slow-to-Stop Rule
TLDR
This work proposes a modification of the widely known Benjamin-Johnson-Hui cellular automaton model for single-lane traffic simulation that includes a `slow-to-stop' rule that exhibits more realistic microscopic driver behaviour than the BJH model. Expand
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 35 REFERENCES
Products of random matrices in statistical physics
I Background.- 1. Why Study Random Matrices?.- 1.1 Statistics of the Eigenvalues of Random Matrices.- 1.1.1 Nuclear Physics.- 1.1.2 Stability of Large Ecosystems.- 1.1.3 Disordered Harmonic Solids.-Expand
Theory and Applications of Cellular Automata
"J."
however (for it was the literal soul of the life of the Redeemer, John xv. io), is the peculiar token of fellowship with the Redeemer. That love to God (what is meant here is not God’s love to men)Expand
Phys
  • Rev. E51 2339
  • 1995
Phys
  • Rev. E 57, 1309
  • 1998
Eur
  • Phys. J. B5, 793
  • 1998
Eur. Phys. J. B5
  • Eur. Phys. J. B5
  • 1998
J. Phys. A: Math Gen
  • J. Phys. A: Math Gen
  • 1998
J. Phys. A: Math Gen
  • J. Phys. A: Math Gen
  • 1998
...
1
2
3
4
...