Abstract
We propose a cellular automaton model that simulates a traffic flow with a junction. We include a ‘form-one-lane’ rule that decides which car moves ahead when two cars on two different lanes are in front of a junction. We present a fundamental diagram of the proposed model and car distribution examples. We also demonstrate that the proposed model is useful for predicting the real-world traffic flow with a junction.
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Benjamin, S.C., Johnson, N.F., Hui, P.M.: Cellular automata models of traffic flow along a highway containing a junction. Journal of Physics A: Mathematical and General 29(12), 3119–3127 (1996)
Clarridge, A., Salomaa, K.: Analysis of a cellular automaton model for car traffic with a slow-to-stop rule. Theoretical Computer Science 411(38-39), 3507–3515 (2010)
Emmerich, H., Rank, E.: An improved cellular automaton model for traffic flow simulation. Physica A: Statistical and Theoretical Physics 234(3-4), 676–686 (1997)
Knospe, W., Santen, L., Schadschneider, A., Schreckenberg, M.: Towards a realistic microscopic description of highway traffic. Journal of Physics A: Mathematical and General 33, 477–485 (2000)
Makowiec, D., Miklaszewski, W.: Nagel-Schreckenberg model of traffic - study of diversity of car rules. In: International Conference on Computational Science, vol. 3, pp. 256–263 (2006)
Nagel, K., Schreckenberg, M., Latour, A., Rickert, M.: Two lane traffic simulations using cellular automata. Physica A: Statistical and Theoretical Physics 231(4), 534–550 (1996)
Nagel, K., Wolf, D.E., Wagner, P., Simon, P.: Two-lane traffic rules for cellular automata: A systematic approach. Physical Review 58(2), 1425–1437 (1998)
Nagel, K.: Particle hopping models and traffic flow theory. Physical Review E 53(5), 4655–4672 (1996)
Nagel, K., Schreckenberg, M.: A cellular automaton model for freeway traffic. Journal de Physique I 2(12), 2221–2229 (1992)
Sasvári, M., Kertész, J.: Cellular automata models of single-lane traffic. Physical Review E 56(4), 4104–4110 (1997)
Schadschneider, A., Schreckenberg, M.: Cellular automaton models and traffic flow. Journal of Physics A: Mathematical and General 26, 679–683 (1993)
Wagner, P.: Traffic simulations using cellular automata: Comparison with reality. In: Traffic and Granular Flow. World Scientific, Singapore (1996)
Wagner, P., Nagel, K., Wolf, D.E.: Realistic multi-lane traffic rules for cellular automata. Physica A: Statistical and Theoretical Physics 234(3-4), 687–698 (1997)
Website, T.S.M.S.: Road rule changes (June, 2009), http://www.seniorsmovingsafely.org.au/road_rules.html
Wolfram, S.: Theory and Applications of Cellular Automata. World Scientific, Singapore (1986)
Wolfram, S.: A New Kind of Science. Wolfram Media, Champaign (2002)
Xiao, S., Kong, L., Liu, M.: A cellular automaton model for a bridge traffic bottleneck. Acta Mechanica Sinica 21, 305–309 (2005)
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Han, YS., Ko, SK. (2011). A Cellular Automaton Model for Car Traffic with a Form-One-Lane Rule. In: Bouchou-Markhoff, B., Caron, P., Champarnaud, JM., Maurel, D. (eds) Implementation and Application of Automata. CIAA 2011. Lecture Notes in Computer Science, vol 6807. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22256-6_15
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DOI: https://doi.org/10.1007/978-3-642-22256-6_15
Publisher Name: Springer, Berlin, Heidelberg
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