Abstract
We propose a multi-agent cellular automata model for analy-sing the traffic flow with various types of agents (drivers). Agents may differ by their vehicles’ acceleration/deceleration values and the delay value of their decision-making. We propose a model in which the main parameters are chosen to reflect different types of driving. Based on valuable previous works, accurate data for possible acceleration/deceleration are used. Additionally, to accurately reflect the cars’ dimensions and their limited movement in a traffic jam, a small-cell cellular automaton is used, where a set of cells represents one car. We present the results of a numerical simulation showing the influence of the main factors of the driving type on the traffic flow. Research shows that aggressive braking has a greater negative impact on traffic flow than aggressive acceleration.
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References
Macioszek, E.: Analysis of driver behaviour at roundabouts in Tokyo and the Tokyo surroundings. In: Macioszek, E., Sierpiński, G. (eds.) TSTP 2019. AISC, vol. 1083, pp. 216–227. Springer, Cham (2020). https://doi.org/10.1007/978-3-030-34069-8_17
Sierpiński, G.: Revision of the modal split of traffic model. In: Mikulski, J. (ed.) TST 2013. CCIS, vol. 395, pp. 338–345. Springer, Heidelberg (2013). https://doi.org/10.1007/978-3-642-41647-7_41
Macioszek, E.: Models of critical gaps and follow-up headways for turbo roundabouts. In: Macioszek, E., Akçelik, R., Sierpiński, G. (eds.) TSTP 2018. LNNS, vol. 52, pp. 124–134. Springer, Cham (2019). https://doi.org/10.1007/978-3-319-98618-0_11
Macioszek, E., Sierpiński, G., Czapkowski, L.: Methods of modeling the bicycle traffic flows on the roundabouts. In: Mikulski, J. (ed.) TST 2010. CCIS, vol. 104, pp. 115–124. Springer, Heidelberg (2010). https://doi.org/10.1007/978-3-642-16472-9_12
Treiber, M., Hennecke, A., Helbing, D.: Congested traffic states in empirical observations and microscopic simulations. Phys. Rev. E 62, 1805–1824 (2000)
Nagel, K., Schreckenberg, M.: A cellular automaton model for freeway traffic. J. Phys. I France 2, 2221–2229 (1992)
Chopard, B., Luthi, P.O., Queloz, P.A.: Cellular automata model of car traffic in a two-dimensional street network. J. Phys. A: Math. Gen. 29, 2325–2336 (1996)
Schadschneider, A., Schreckenberg, M.: Traffic flow models with ‘slow-to-start’rules. Ann. der Phys. 509, 541–551 (1997)
Nagel, K., Wolf, D.E., Wagner, P., Simon, P.: Two-lane traffic rules for cellular automata: a systematic approach. Phys. Rev. E 58, 1425 (1998)
Rickert, M., Nagel, K., Schreckenberg, M., Latour, A.: Two lane traffic simulations using cellular automata. Phys. A: Stat. Mech. Appl. 231, 534–550 (1996)
Liu, M., Shi, J.: A cellular automata traffic flow model combined with a BP neural network based microscopic lane changing decision model. J. Intell. Transp. Syst. 23, 309–318 (2019)
Małecki, K., Gabryś, M.: The computer simulation of cellular automata traffic model with the consideration of vehicle-to-infrastructure communication technology. SIMULATION 96, 911–923 (2020)
Wójtowicz, J., Wadowski, I., Dyrda, B., Gwizdałła, T.M.: Traffic on small grids and the ramp problem. In: Mauri, G., El Yacoubi, S., Dennunzio, A., Nishinari, K., Manzoni, L. (eds.) ACRI 2018. LNCS, vol. 11115, pp. 196–206. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-99813-8_18
Małecki, K.: The use of heterogeneous cellular automata to study the capacity of the roundabout. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) Artificial Intelligence and Soft Computing, pp. 308–317. Springer International Publishing, Cham (2017)
Iwan, S., Małecki, K.: Utilization of cellular automata for analysis of the efficiency of urban freight transport measures based on loading/unloading bays example. Transp. Res. Procedia 25, 1021–1035 (2017)
Chmielewska, M., Kotlarz, M., Was, J.: Computer simulation of traffic flow based on cellular automata and multi-agent system. In: Wyrzykowski, R., Deelman, E., Dongarra, J., Karczewski, K., Kitowski, J., Wiatr, K. (eds.) Parallel Processing and Applied Mathematics, pp. 517–527. Springer International Publishing, Cham (2016)
Małecki, K.: A computer simulation of traffic flow with on-street parking and drivers’ behaviour based on cellular automata and a multi-agent system. J. Comput. Sci. 28, 32–42 (2018)
Małecki, K., Kamiński, M., Wąs, J.: A multi-cell cellular automata model of traffic flow with emergency vehicles: effect of a corridor of life and drivers’ behaviour. J. Comput. Sci. 61, 101628 (2022)
Shang, H.Y., Peng, Y.: A new three-step cellular automaton model considering a realistic driving decision. J. Stat. Mech: Theory Exp. 2012, P10001 (2012)
Lárraga, M.E., Alvarez-Icaza, L.: Cellular automaton model for traffic flow based on safe driving policies and human reactions. Phys. A: Stat. Mech. Appl. 389, 5425–5438 (2010)
Chmura, T., Herz, B., Knorr, F., Pitz, T., Schreckenberg, M.: A simple stochastic cellular automaton for synchronized traffic flow. Phys. A: Stat. Mech. Appl. 405, 332–337 (2014)
GUZMÁN, H., Larraga, M.E., Alvarez-Icaza, L., et al.: A two lanes cellular automata model for traffic flow considering realistic driving decisions. J. Cell. Automata 10 (2015)
Li, Z.H., Zheng, S.T., Jiang, R., Tian, J.F., Zhu, K.X., Di Pace, R.: Empirical and simulation study on traffic oscillation characteristic using floating car data. Phys. A: Stat. Mech. Appl. 605, 127973 (2022)
Acknowledgements
This research was supported by ZUT Highfliers School (Szkoła Orłów ZUT) project coordinated by Assoc. Prof. Piotr Sulikowski within the framework of the program of the Minister of Education and Science (Grant No. MNiSW/2019/391/DIR/KH, POWR.03.01.00-00-P015/18), co-financed by the European Social Fund, the amount of financing PLN 2,634,975.00.
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Małecki, K., Górka, P., Gokieli, M. (2023). Multi-agent Cellular Automaton Model for Traffic Flow Considering the Heterogeneity of Human Delay and Accelerations. In: Mikyška, J., de Mulatier, C., Paszynski, M., Krzhizhanovskaya, V.V., Dongarra, J.J., Sloot, P.M. (eds) Computational Science – ICCS 2023. ICCS 2023. Lecture Notes in Computer Science, vol 14073. Springer, Cham. https://doi.org/10.1007/978-3-031-35995-8_38
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