Una revisión de modelos de tráfico automotor usando autómatas celulares

  • Luis Bladismir Ruiz Universidad Técnica de Manabí
  • Ambrosio Tineo Universidad Nacional de Chimborazo
Palabras clave: Autómata Celular, flujo vehicular, modelo microscópico, modelo de NaSch, modelos de tráfico

Resumen

Los Autómatas Celulares son un modelo matemático utilizado para estudiar y representar sistemas dinámicos, adecuados para modelar sistemas naturales como la evolución de virus y bacterias, así como el flujo de gases, líquidos y del tráfico vehicular y peatonal. El primer modelo probabilístico no trivial fue presentado por Nagel y Schreckenberg (1992) y cada vez son más los investigadores que se suman a su aplicación en la vida diaria. En este artículo se plantea una revisión del comportamiento del flujo vehicular (FV) para vías de uno y varios carriles, considerando las modificaciones de los modelos ya existentes y los cambios en la forma de conducir con la finalidad de conocer el enfoque de los diversos investigadores sobre el estudio de tráfico vehicular. El estudio revela que el FV se adapta a las condiciones del tráfico del momento y que el modelo, por su propiedad, permite modificar reglas de interacción y considerar la infraestructura de la vía para el modelo de un carril mientras que los modelos con carriles múltiples son más complejos.

Descargas

La descarga de datos todavía no está disponible.

Citas

Beck, T. de C. (n.d.). La matemática de las congestiones de tráfico. Retrieved from https://medium.com/@ TomasDeCamino/la-matemática-de-las-congestiones-de-tráfico-29681db8dbc0

Benjamin, S. C., Johnson, N. F. & Hui, P. M. (1996). Cellular automata models of traffic flow along a highway containing a junction. Journal of Physics A: Mathematical and General, 29(12), 3119–3127. https://doi.org/10.1088/0305-4470/29/12/018

Biham, O., Middleton, A. A. & Levine, D. (1992). Self-organization and a dynamical transition in traffic-flow models. Physical Review A, 46(10), R6124–R6127. https://doi.org/10.1103/PhysRevA.46.R6124

Chandler, R. E., Herman, R. & Montroll, E. W. (1958). Traffic Dynamics: Studies in Car Following. Operations Research, 6(2), 165–184. https://doi.org/10.1287/opre.6.2.165

Gazis, D., Herman, R., & Rothery, R. (1961). No Title. Operations Research, 9(4), 545–567

Greenshields, B. D. (1934). The photographic method of studying traffic behavior. Proceedings of the 13th Annual Meeting of the Highway Research Board, 382–399

Greenshields, B. D. (1935). A study of traffic capacity. Proceedings of the 14th Annual Meeting of the Highway Research Board, 448–477

Guzmán, H. A., Lárraga, M. E., Alvarez-Icaza, L. & Carvajal, J. (2018). A cellular automata model for traffic flow based on kinetics theory, vehicles capabilities and driver reactions. Physica A: Statistical Mechanics and Its Applications, 491, 528–548. https://doi.org/10.1016/j.physa.2017.09.094

Hedlund, G. A. (1969). Endomorphisms and automorphisms of the shift dynamical system. Math. Systems Theory, 3(4), 320–375. https://doi.org/https://doi.org/10.1007/BF01691062

Jia, B., Jiang, R., Wu, Q.-S. & Hu, M. (2005). Honk effect in the two-lane cellular automaton model for traffic flow. Physica A, 348, 544–552. https://doi.org/10.1016/j.physa.2004.09.034

Lárraga, M. E. & Alvarez-Icaza, L. (2010). Cellular automaton model for traffic flow based on safe driving policies and human reactions. Physica A: Statistical Mechanics and Its Applications, 389(23), 5425–5438. https://doi.org/10.1016/j.physa.2010.08.020

Li, X., Jia, B., Z, G. & R, J. (2006). A realistic two-lane cellular automata traffic model considering aggressive lane-changing behavior of fast vehicle. Physica A: Statistical Mechanics and Its Applications, 367, 479–476

Maerivoet, S. & De Moor, B. (2005). Cellular automata models of road traffic. Physics Reports, 419(1), 1–64. https://doi.org/10.1016/j.physrep.2005.08.005

Maglaras, L., Al-Bayatti, A., He, Y., Wagner, I. & Janicke, H. (2016). Social Internet of Vehicles for Smart Cities. Journal of Sensor and Actuator Networks, 5(1), 3. https://doi.org/10.3390/jsan5010003

Mallikarjuna, C. & Rao, K. R. (2011). Heterogeneous traffic flow modelling: a complete methodology. Transportmetrica, 7(5), 321–345

Meng, J., Dai, S., Dong, L. & Zhang, J. (2007). Cellular automaton model for mixed traffic flow with motorcycles. Physica A: Statistical Mechanics and Its Applications, 380, 470–480. https://doi.org/10.1016/j.physa.2007.02.091

Nagel, K. (1994). Life times of simulated traffic jams. International Journal of Modern Physics C, 05(03), 567–580. https://doi.org/10.1142/S012918319400074X

Nagel, K. & Schreckenberg, M. (1992). A cellular automaton model for freeway traffic. Journal de Physique I, 2(12), 2221–2229. https://doi.org/10.1051/jp1:1992277

Nagel, K., Wolf, D. E., Wagner, P. & Simon, P. (1998). Two-lane traffic rules for cellular automata: A systematic approach. Physical Review E, 58(2), 1425–1437. https://doi.org/10.1103/PhysRevE.58.1425

Nassab, K., Schreckenberg, M., Ouaskit, S. & Boulmakoul, A. (2005). Impacts of different types of ramps on the traffic flow. Physica A, 354(2–4), 601–611

Pandey, G., Rao, K. R. & Mohan, D. (2015). A review of cellular automata model for heterogeneous traffic conditions. Traffic and Granular Flow, 2013, (November), 471–478. https://doi.org/10.1007/978-3-319-10629-8_52

Rawat, K., Katiyar, V. K. & Gupta, P. (2012). Two-Lane Traffic Flow Simulation Model via Cellular Automaton. International Journal of Vehicular Technology, 2012, 1–6. https://doi.org/10.1155/2012/130398

Reis, L. G. (2008). Produção de monografias: da teoria à pratica (2nd ed.). Brasilia: SENAC

Rickert, M., Nagel, K., Schreckenberg, M. & Latour, A. (1996). Two lane traffic simulations using cellular automata. Physica A: Statistical Mechanics and Its Applications, 231(4), 534–550. https://doi.org/10.1016/0378-4371(95)00442-4

Romero, N. (2012). Dinámica Topológica y Autómata Celulares: conceptos y propiedades fundamentales (First; E. A. Española, Ed.). Germany: Editorial Académica Española

Schadschneider, A. (1999). The Nagel-Schreckenberg model revisited. The European Physical Journal B, 10(3), 573–582. https://doi.org/10.1007/s100510050888

Schadschneider, A. (2002). Traffic flow: a statistical physics point of view. Physica A: Statistical Mechanics and Its Applications, 313(1–2), 153–187. https://doi.org/10.1016/S0378-4371(02)01036-1

Schneider, B. (n.d.). Traffic’s Mind-Boggling Economic Toll. Retrieved from CITYLAB website: https://www.citylab.com/transportation/2018/02/traffics-mind-boggling-economic-toll/552488/

Schrank, D., Turner, S. & Lomax, T. (1994). Trends in Urban Roadway Congestion – 1982 to 1991. TTI Research Report, 1131(6)

Schreckenberg, M., Barlović, R., Knospe, W. & Klüpfel, H. (2002). Statistical Physics of Cellular Automata Models for Traffic Flow. In Computational Statistical Physics (pp. 113–126). https://doi.org/10.1007/978-3-662-04804-7_7

Tyagi, V., Darbha, S. & Rajagopal, K. R. (2009). A review of the mathematical models for traffic flow. International Journal of Advances in Engineering Sciences and Applied Mathematics, 1(1), 53–68. https://doi.org/10.1007/s12572-009-0005-8

W, M. (n.d.). What Cause Traffic Jams? The Physics Behind You Need To Know. Retrieved from jun 2019 website: https://www.smartmotorist.com/traffic-jams

Wagner, P., Nagel, K. & Wolf., D. E. (1997). Realistic multi-lane traffic rules for cellular automata. Physica A, 234, 687–698

Wolfram, S. (1983). Statistical mechanics of cellular automata. Reviews of Modern Physics, 55(3), 601–644. https://doi.org/10.1103/RevModPhys.55.601

Wolfram, S. (1984). Computation theory of cellular automata. Communications in Mathematical Physics, 96(1), 15–57. https://doi.org/10.1007/BF01217347

Yang, L., Zheng, J., Cheng, Y. & Ran, B. (2019). An asymmetric cellular automata model for heterogeneous traffic flow on freeways with a climbing lane. Physica A: Statistical Mechanics and Its Applications, 535. https://doi.org/10.1016/j.physa.2019.122277

Zhao, H.-T., Liu, X.-R., Chen, X.-X. & Lu, J.-C. (2018). Cellular automata model for traffic flow at intersections in internet of vehicles. Physica A: Statistical Mechanics and Its Applications, 494, 40–51. https://doi.org/10.1016/J.PHYSA.2017.11.152

Zhu, H. B., Lei, L. & Dai, S. Q. (2009). Two-lane traffic simulations with a blockage induced by an accident car. Physica A: Statistical Mechanics and Its Applications, 388(14), 2903–2910. https://doi.org/10.1016/J.PHYSA.2009.01.040
Publicado
2019-12-10
Cómo citar
Ruiz, L. B., & Tineo, A. (2019). Una revisión de modelos de tráfico automotor usando autómatas celulares. NOVASINERGIA, ISSN 2631-2654, 2(2), 7-16. https://doi.org/10.37135/unach.ns.001.04.01