 |
[email protected] |
 |
3275638434 |
 |
 |
| Paper Publishing WeChat |
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License
Influence of Delayed Start on 1/f Noise in Vehicular Traffic Patterns
Reuben K. Thieberger
Full-Text PDF
XML 5661 Views
DOI:10.17265/1934-7332/2018.01.001
Physics Department, Ben Gurion University, Beer Sheva 84105, Israel
Previously we examined 1/f noise for a simple cellular automata model. For illustrative purposes we considered a specific case of approaching a city. The case involves a traffic light where one continues on the main road, into which additional cars are entering at the light. At this intersection an alternative route begins, which is longer but into which no additional cars are entering. In this paper we add a modified “Slow to move” model. We check the influence of different percentage of cars which have slow to continue values, on the overall velocity and flux. We calculate the Fourier transform of the average velocity for each traffic light cycle. All the cases can be written as 1/fa. We check by least squares the value of a. We compare qualitatively our results to experiments. When we do not assume cars which are “delayed”, the results differ from experiment, but when we introduce the delay mechanism, the results are similar to the experimental values. These values give a close to one, this is called pink noise. We consider too different densities of cars. There are different characteristics for low densities mid range and high densities. We wish to point out that when the autonomous cars, i.e. cars without a human driver, will enter into use, the simple case without delayed cars will become dominant and so the noise will have brown sections at some densities instead of pink sections.
Traffic noise, pink noise, 1/f noise, cellular automata, automatic driving, brown noise
[2] Wolphram, S. 1986. Theory and application of cellular automata. World Scientific.
[3] Biham, O., Middleton, A. A., and Levin, D. 1992. ”Self-organization and a Dynamical Transition in Traffic Flow Models.” Phys. Rev. A 46: R6124.
[4] Nagel, K., and Schreckenberg, M. 1992. “A Cellular Automaton Model for Freeway Traffic.” J. Phys. I France 2: 2221.
[5] Takayasu, M., and Takayasu, H. 1993. “1/f Noise in a Traffic Model.” Fractals 1: 860-6.
[6] Nasaab, K., Schreckenberg, M., Ouaskit, S., and Boulmakou, A. 2005. “1/f Noise in a Cellular Automaton Model for Traffic Flow with Open Boundaries and Additional Connection Sites.” Physica A 354: 597-605.
[7] Thieberger, R. 2015. “Cellular Automata Model for a Specific Traffic Regime and 1/f Noise.” Computer Technology and Application 6: 30-6.
[8] Nishinari, K., Fukui, M., and Schadschneider, A. 2004. “A Stochasic Cellular Automaton Model for Traffic Flow with Multiple Metastable States.” J. Phys. A 37: 3101.
[9] Rosenblueth, D. A., and Gershenson, C. 2011. “A Model of City Traffic Based on Elementary Cellular Automata.” Complex Systems 19: 305-22.
[10] Procaccia, I., and Schuster, H. G. 1983. “Functional Renormalization Group-Theory of Universal 1/f Noise in Dynamical Systems.” Phys. Rev. 28A: 1210-2.
[11] Erland, S., Greenwood, P. E., and Ward, L. M. 2011. “1/fa Noise Is Equivalent to an Eigenstructure Power Relation.” Europhysics Letters 95: 60006.
[12] Patange, K. B., Khan, A. R., Behere, S. H., and Shaikh, Y. H. 2011. “Traffic Noise: 1/f Characteristic.” Int. Journal of Artificial Life Research 2: 1-11.
[13] Fukuda, K., Takayasu, M., and Takayasu, H. 2013. Traffic and Granular Flow’01. Springer, 389-400.
[14] Mayinger, F. 2013. Mobility and Traffic in the 21st Century. Springer, 278.