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Equivalent Transformation for Heterogeneous Traffic Cellular Automata
Authors: Shih-Ching Lo
Abstract:Understanding driving behavior is a complicated researching topic. To describe accurate speed, flow and density of a multiclass users traffic flow, an adequate model is needed. In this study, we propose the concept of standard passenger car equivalent (SPCE) instead of passenger car equivalent (PCE) to estimate the influence of heavy vehicles and slow cars. Traffic cellular automata model is employed to calibrate and validate the results. According to the simulated results, the SPCE transformations present good accuracy.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1329731Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1414
 M. J. Lighthill, and G. B. Whitham, "On Kinematics Waves II. A Theory of Traffic Flow on Long Crowded Road," Proceedings Royal Society, A229, 1955, pp.317-345.
 P. I. Richards, "Shock Waves on the Highway," Operation Research, Vol. 4, 1956, pp.42-51.
 D. Helbing, "MASTER: Macroscopic Traffic Simulation Based on a Gas-kinetic, Non-local Traffic Model," Transportation Research Part B, Vol. 35, 2001, pp. 183-211.
 S. P. Hoogendoorn and P. H. L. Bovy, "Continuum Modeling of Multiclass Traffic Flow," Transportation Research Part B, Vol. 34, 2000, pp. 123-146.
 D. C. Gazis, R. Herman and R. B. Potts, "Car-Following Theory of Steady-State Traffic Flow," Operations Research, Vol. 7, 1959 , pp.499-505.
 D. C. Gazis, R. Herman and R. W. Rothery, "Nonlinear Follow-the-Leader Models of Traffic Flow," Operations Research, Vol. 9, 1960, pp.545-567.
 M. Cremer, and J. Ludwig, "A Fast Simulation Model for Traffic Flow on the Basis of Boolean Operations," Mathematics and Computers in Simulation, Vol. 28, 1986 pp.297-303.
 K. Nagel, and M. Schreckenberg, "A Cellular Automaton Model for Freeway Traffic," Journal of Physique I, France 2, 1992, pp.2221-2229.
 K. Nagel, "Particle Hopping Models and Traffic Flow Theory," Physical Review E, Vol. 53, 1996, pp.4655-4672.
 C. F. Daganzo, "In Traffic Flow, Cellular Automata=Kinematic Waves," Transportation Research B,Vol. 40, 2006, pp.396-403
 M. Takayasu, and H. Takayasu, "1/f Noise in Traffics Model," Fractals, 1, 1993, pp.860-866.
 S. C. Benjamin, N.F. Johnson, P.M. Hui, "Cellular Automaton Models of Traffic Flow Along a Highway Containing a Junction," Journal of Physics A, Vol. 29, 1996, pp.3119-3127.
 A. Schadschneider, and M. Schreckenberg, "Traffic Flow Models with ÔÇÿSlow-to-Start- Rules," Annalen der Physik, Vol. 509, 1997, pp.541 - 551.
 M. Fukui, Y. Ishibashi, "Traffic Flow in 1D Cellular Automaton Model Including Cars Moving with High Speed," Journal of Physical Society Japan, Vol. 65, 1996, pp.1868-1870.
 Schadschneider A., "Analytical Approaches to Cellular Automata for Traffic Flow: Approximations and Exact Solutions", in Workshop on Traffic and Granular Flow -97, edited by Schreckenberg M. and Wolf D. E. (Springer-Verlag, Singapore, 1998)
 A. Schadschneider and M. Schreckenberg, "Car-Oriented Mean-Field Theory for Traffic Flow Models", J. Phys. A: Math. Gen., Vol. 30, L69 (1997).
 Highway Capacity Manual, Transport. Res. Board, Washington, D. C., (2000).
 S.-C. Lo and Y.-Y. Chu, "Vehicular Size and Equivalent of Multi-class Traffic Cellular Automata", International Conference of Computational Methods in Sciences and Engineering 2010 (ICCMSE 2010), Kos, Greece, 03-08 October 2010.