A Modified Cellular Automaton in Lagrange Form with Velocity Dependent Acceleration Rate
DOI:
https://doi.org/10.11121/ijocta.01.2011.0036Keywords:
Cellular Automata, Nasch model, braking parameter, slow-to-start ruleAbstract
Based on Nasch model of single lane traffic flow, a modified Cellular Automaton traffic flow model incorporating s-t-s effect among vehicles given in Lagrange model for traffic flow is proposed to simulate homogeneous and mixed type traffic flow. The model is developed with modified cell size, incorporating different acceleration characteristics depending upon the speed of each individual vehicle. Comparisons are made between Nasch model and modified model. It is observed that slope of congested branch is changed for modified model due to variable acceleration rate.
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Helbing, D., Herman, H.J., Schrekenberg, M. and Wolfe, D.E. Traffic and Granular Flow. Berlin: Springer, (2000). CrossRef
Cremer, M. and Ludwing, J. A fast simulation model for traffic flow on the basis of Boolean operations. Mathematics and Computers in Simulation, 28(4), 297-303 (1986). CrossRef
Wolfram, S. Theory and application of Cellular Automata. World Scientific Singapore (1986).
Nagel, K. and Schrekenberg, M.. A Cellular Automata for freeway traffic. Journal of Physics I France ,2, 2221-2229 (1992). CrossRef
Chakroborty, P. and Maurya, A.K. Microscopic Analysis of Cellular Automata based traffic flow models and an improved model. Transport reviews, 28 (6),717-734 (2008). CrossRef
Chowdhery, D., Santen, and Schadschneider, A. Statistical Physics of vehicular traffic and some related systems. Physics Report, 329 (4-6), 199-329 (2000). CrossRef
Brockfield, E., Barlovic, R., Schadschneider, A. and Schrekenberg, M. Optimizing traffic lights in a Cellular Automata model for city traffic. Physical Review E, 64 (5), 056132-1-12 (2001).
Spyropoula, I. Modelling a signal controlled traffic stream using Cellular Automata . Transportation Research Part C, 15 (3), 175-190 (2007). CrossRef
Lan, W.L. and Chang, C.W. Motorbike’s moving behavior in mixed traffic: Particle hoping model with Cellular Automata. Journal of Eastern Asian Society for transportation studies, 5, 23-37 (2003).
Mallikarjuna, C. and Rao, K. Identification of a suitable Cellular Automata model for mixed traffic. Journal of Eastern Asia Society for Transportation Studies 7, 2454-2468 (2007).
Rawat, K., Katiyar, V. K. and Pratibha., Modeling of single lane traffic flow using Cellular Automata. International Journal of Applied Mathematics and Mechanics, 6 (5), 46-57 (2010).
Nishinari, K. A Lagrange representation of Cellular Automaton traffic flow models. Journal of Physics A: Mathematical and General, 34 (48), 10727-10736 (2001). CrossRef
Takayasu, M.and Takayasu, H. 1/f noise in traffic model. Fractals 1(4), 860-866 (1993). CrossRef
Benjamin, S., Jhonson, N. and Hui, P.. Cellular Automata models of traffic flow along a highway containing junction. Journal of Physics A: Mathematical and General, 29 (12), 3119-3127 (1996). CrossRef
Barlovic, R., Santen, L., Schadschneider, A. and Schrekenberg, M. Metastable States in Cellular Automata for traffic flow. European Physical Journal B, 5(3), 793-800 (1998). CrossRef
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