Velocity Correlations in the Nagel–schreckenberg Model

Abstract

The correlation between the velocity of two successive vehicles as a function of time headway is studied in the one-dimensional cellular automata (CA) NaSch model within parallel dynamic update. It is found that a strong correlation occurs in short time headway. The behavior of the correlation velocity as a function of the car density in different traffic states is also investigated. Moreover, our study is also extended to a more complicated situation where the two vehicles are separated by a number n of other vehicles. It is shown that the velocity correlation coefficient depends strongly on the number n of vehicles in between and on their positions.

Simulation study of traffic car accidents at a single lane roundabout

“…There are several methods to study and describe tra±c phenomenon such as cellular automaton (CA), car following and Fluid-dynamical method. [1][2][3][4][5][6][7][8] Among these models, the CA model developed by the Nagel and Schreckenberg is widely used to study the complicated phenomenon (i.e. jams, accidents, etc.)…”

“…observed in real tra±c°ow, due to its simplicity, high e±ciency,°exibility, and its fast performance in computer simulations. [1][2][3][4][5] In the city, vehicular tra±c at the intersection imposes constraint to the motion of cars (e.g. congestion, energy dissipation) and depends highly on the control mechanisms like: Tra±c lights, tra±c circle and roundabout.…”

Finite-size effects in the Nagel-Schreckenberg traffic model

“…Other quantities have been studied that not necessarily zero in the free phase, but show an abrupt change at the transition, such as the vehicle flux [6] or the change in the vehicle's kinetic energy per step [19,20]. A number of different traffic correlations have also been studied, including different characteristic velocities in the spatial dynamical structure factor [8], different maxima in the velocity-position correlation [11], the gap or timeheadway distribution [10], the number of cars moving cooperatively [21] and velocity correlations among the cars [22].…”

Cellular automata model simulating traffic car accidents in the on-ramp system

“…It has been extensively investigated with many models such as cellular automaton model,°uid-dynamical model and car following model, [1][2][3][4][5] to explain the empirical results. The cellular automata (CA) developed by Nagel and Schreckenberg 6 is widely used to study real tra±c systems such as bottlenecks, road blocks, owing to its simplicity and its fast performance in computer simulations.…”