Abstract
We consider the auto-organization of a set of autonomous vehicles following each other on either an infinite or circular road. The behavior of each car is specified by its “speed regulator”, a device that decides to increase or decrease the speed of the car as a function of the head-tail distance to its predecessor and the speed of both cars. A collective behavior emerges that corresponds to previously proposed cellular automata traffic models. We further analyze the traffic patterns of the system in the long term, as governed by the speed regulator and we study under which conditions traffic patterns of maximum flow can or cannot be reach. We show the existence of suboptimal flow conditions that require external coordination mechanisms (that we don not consider in this paper) in order to reach the optimal flow achievable with the given density.
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References
Brown, R., Kocarev, L.: A unifying definition of synchronization for dynamical systems. Chaos Interdisc. J. Nonlinear Sci. 10(2), 344–349 (2000)
Chacoma, A., Abramson, G., Kuperman, M.N.: A phase transition induced by traffic lights on a single lane road. Phys. A 568, 125763 (2021)
Chou, F.-C., Bagabaldo, A.R., Bayen, A.M.: The lord of the ring road: a review and evaluation of autonomous control policies for traffic in a ring road. ACM Trans. Cyber-Phys. Syst. (TCPS) 6(1), 1–25 (2022)
Gupta, A.K., Katiyar, V.K.: Phase transition of traffic states with on-ramp. Phys. A 371(2), 674–682 (2006)
Hanumappa, D., Ramachandran, P.: Cellular automata model for mixed traffic flow with lane changing behavior. Model. Simul. Eng. 2021 (2021)
Jiang, R., Qing-Song, W.: Phase transition at an on-ramp in the Nagel-Schreckenberg traffic flow model. Phys. A 366, 523–529 (2006)
Karakhi, A., Laarej, A., Khallouk, A., Lakouari, N., Ez-Zahraouy, H.: Car accident in synchronized traffic flow: a stochastic cellular automaton model. Int. J. Mod. Phys. C 32(01), 2150011 (2021)
Kerner, B.S.: The physics of traffic. Phys. World 12(8), 25 (1999)
Kerner, B.S., Klenov, S.L., Wolf, D.E.: Cellular automata approach to three-phase traffic theory. J. Phys. A Math. Gen. 35(47), 9971 (2002)
Kerner, B.S.: The Physics of Traffic: Empirical Freeway Pattern Features, Engineering Applications, and Theory. Understanding Complex Systems, Springer, Heidelberg (2004). https://doi.org/10.1007/978-3-540-40986-1
Kerner, B.S.: Understanding Real Traffic: Paradigm Shift in Transportation Science. Understanding Complex Systems, Springer, Cham (2021). https://doi.org/10.1007/978-3-030-79602-0
Lee, H.K., Barlovic, R., Schreckenberg, M., Kim, D.: Mechanical restriction versus human overreaction triggering congested traffic states. Phys. Rev. Lett. 92(23), 238702 (2004)
Meng, J., Dai, S., Dong, L., Zhang, J.: Cellular automaton model for mixed traffic flow with motorcycles. Phys. A 380, 470–480 (2007)
Nagel, K., Schreckenberg, M.: A cellular automaton model for freeway traffic. J. Phys. I 2(12), 2221–2229 (1992)
Naito, Y., Nagatani, T.: Effect of headway and velocity on safety-collision transition induced by lane changing in traffic flow. Phys. A 391(4), 1626–1635 (2012)
Nishinari, K., Fukui, M., Schadschneider, A.: A stochastic cellular automaton model for traffic flow with multiple metastable states. J. Phys. A Math. Gen. 37(9), 3101 (2004)
Qian, Y.-S., Feng, X., Zeng, J.-W.: A cellular automata traffic flow model for three-phase theory. Phys. A 479, 509–526 (2017)
Sugiyama, Y., et al.: Traffic jams without bottlenecks-experimental evidence for the physical mechanism of the formation of a jam. New J. Phys. 10(3), 033001 (2008)
Tian, J., Jia, B., Li, X., Jiang, R., Zhao, X., Gao, Z.: Synchronized traffic flow simulating with cellular automata model. Phys. A 388(23), 4827–4837 (2009)
Tian, J., Zhu, C., Jiang, R., Treiber, M.: Review of the cellular automata models for reproducing synchronized traffic flow. Transportmetrica A Transp. Sci. 17(4), 766–800 (2021)
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Cohen, N., Chopard, B., Leone, P. (2022). Maximum Traffic Flow Patterns in Interacting Autonomous Vehicles. In: Chopard, B., Bandini, S., Dennunzio, A., Arabi Haddad, M. (eds) Cellular Automata. ACRI 2022. Lecture Notes in Computer Science, vol 13402. Springer, Cham. https://doi.org/10.1007/978-3-031-14926-9_25
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DOI: https://doi.org/10.1007/978-3-031-14926-9_25
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