1/f NOISE IN A TRAFFIC MODEL

Fractals ◽  
1993 ◽  
Vol 01 (04) ◽  
pp. 860-866 ◽  
Author(s):  
MISAKO TAKAYASU ◽  
HIDEKI TAKAYASU
Keyword(s):  
Phase Transition ◽  
Power Spectrum ◽  
Cellular Automaton ◽  
White Noise ◽  
Traffic Flow ◽  
Discrete Model ◽  
Traffic Model ◽  
Random Perturbations ◽  
One Dimensional

One-dimensional traffic flow is simulated by a cellular-automaton-type discrete model. As we increase the car density, the model shows a phase transition between a jam phase and a non-jam phase. By adding random perturbations we found a 1/f power spectrum in the jam phase, whereas a white noise is observed in the non-jam phase.

A NEW CELLULAR AUTOMATON MODEL FOR TRAFFIC FLOW WITH DIFFERENT PROBABILITY FOR DRIVERS

2007 ◽  
Vol 18 (05) ◽  
pp. 773-782 ◽  
Author(s):  
H. B. ZHU ◽  
H. X. GE ◽  
S. Q. DAI
Keyword(s):  
Cellular Automaton ◽  
Traffic Flow ◽  
Metastable State ◽  
Maximum Flow ◽  
Traffic Model ◽  
Fundamental Diagram ◽  
Density Dependent ◽  
Spontaneous Formation ◽  
Traffic Jams ◽  
Ca Model

Based on the Nagel–Schreckenberg (NaSch) model of traffic flow, a new cellular automaton (CA) traffic model is proposed to simulate microscopic traffic flow. The probability p is a variable which contains a randomly selected term for each individual driver and a density-dependent term which is the same for all drivers. When the rational probability p is obtained, the larger value of maximum flow which is close to the observed data can be reached compared with that obtained from the NaSch model. The fundamental diagram obtained by simulation shows the ability of this modified CA model to capture the essential features of traffic flow, e.g., the spontaneous formation of traffic jams and appearance of the metastable state. These indicate that the presented model is more reasonable and realistic.

The Effects of Safety Deceleration Rule in Traffic System

2014 ◽  
Vol 496-500 ◽  
pp. 3013-3016
Author(s):  
Kai Yang
Keyword(s):  
Cellular Automaton ◽  
Traffic Flow ◽  
Metastable State ◽  
Early Stage ◽  
Great Influence ◽  
Traffic Model ◽  
Nonlinear Phenomena ◽  
Traffic System ◽  
Real Traffic

Deceleration has a great influence on the whole traffic flow in real traffic. Based on the SDNS cellular automaton (CA) traffic model, an improved single lane traffic model with considering the safe deceleration was proposed. The model not only simulated the interaction between vehicles, but also reproduced nonlinear phenomena which tallies with real traffic such as the synchronism flow and the metastable state. The model in this paper can reduce some vehicles to decelerate. Simulation is shown that the smaller the p is, the more remarkable the variation of the proportion of the vehicle is in the early stage.

scholarly journals THE EFFECT OF OFF-RAMP ON THE ONE-DIMENSIONAL CELLULAR AUTOMATON TRAFFIC FLOW WITH OPEN BOUNDARIES

2004 ◽  
Vol 18 (16) ◽  
pp. 2347-2360 ◽  
Author(s):  
HAMID EZ-ZAHRAOUY ◽  
ZOUBIR BENRIHANE ◽  
ABDELILAH BENYOUSSEF
Keyword(s):  
Cellular Automaton ◽  
Traffic Flow ◽  
Average Density ◽  
Constant Current ◽  
Current Phase ◽  
One Dimensional ◽  
First Order ◽  
Open Boundaries ◽  
Flow Phase ◽  
The One

The effect of the position of the off-ramp (way out), on the traffic flow phase transition is investigated using numerical simulations in the one-dimensional cellular automaton traffic flow model with open boundaries using parallel dynamics. When the off-ramp is located between two critical positions ic1 and ic2 the current increases with the extracting rate β0, for β0<β0c1, and exhibits a plateau (constant current) for β0c1<β0<β0c2 and decreases with β0 for β0>β0c2. However, the density undergoes two successive first order transitions: from high density to plateau current phase at β0=β0c1; and from average density to the low one at β0=β0c2. In the case of two off-ramps located respectively at i1 and i2, these transitions occur only when i2-i1 is smaller than a critical value. Phase diagrams in the (α,β0), (β,β0) and (i1,β0) planes are established. It is found that the transitions between free traffic (FT), congested traffic (CT) and plateau current (PC) phases are of first order. The first order line transition in (i1,β0)-phase diagram terminates by an end point above which the transition disappears.

scholarly journals One-dimensional cellular automaton model of traffic flow considering dynamic headway

2015 ◽  
Vol 64 (2) ◽  
pp. 024501
Author(s):  
Zhang Ning-Xi ◽  
Zhu Hui-Bing ◽  
Lin Heng ◽  
Huang Meng-Yuan
Keyword(s):  
Cellular Automaton ◽  
Traffic Flow ◽  
Cellular Automaton Model ◽  
One Dimensional
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