Abstract
We present a new traffic CA model focused on an estimated time for a following vehicle to catch up with the one ahead (Time-to-Collision: TTC) , and investigate characteristics of the model with the simulation. We also analyze analytically the possibility of a collision between two cars in this model. The model is simulated under open boundary conditions and each car is parallel-updated. We draw some fundamental diagrams of the traffic flow with the simulation. In this figure, we find two distinct phases: a free flow and wide moving jam. And between the two phases, the region where the dots spread sparsely is seen clearly. In addition to this, by using different values of an important parameter, we can see the several patterns of the trajectory of vehicles. Based on these findings, we believe it is possible for this model to reproduce synchronized flow.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Nagel, K., Schreckenberg, M.: A cellular automation model for freeway traffic. J. Phys. I France 2, 2221–2229 (1992)
Barlovic, R., Santen, L., Schadschneider, A., Schreckenberg, M.: Metastable states in cellular automata for traffic flow. J. Phys. B 5, 793–800 (1998)
Brockfeld, E., Barlovic, R., Schadschneider, A., Schreckenberg, M.: Optimizing traffic lights in a cellular automaton model for city traffic. Physical Review EÂ 64 (2001)
Sakai, S., Nishinari, K., Iida, S.: A new stochastic cellular automaton model on traffic flow and its jamming phase transition. J. Phys. A: Math. Gen. 39 (2006)
Kerner, B.S., Klenov, S.L., Wolf, D.E.: Cellular automata approach to three-phase traffic theory. J. Phys. A: Math. Gen. 35, 9971 (2002)
Kerner, B.S.: Three phase traffic theory. In: Traffic and Granular Flow 2001 (2003)
Kerner, B.S.: Three-phase traffic theory and highway capacity. Physica A: Statistical and Theoretical Physics 333, 379–440 (2004)
Kerner, B.S.: Empirical macroscopic features of spatial-temporal traffic patterns at highway bottlenecks. Physical Review EÂ 65, 046138 (2004)
Lee, D.N.: A theory of visual control of braking based on information about time-to-collision. Perception 5(4), 437–459 (1976)
Minderhoud, M., Bovy, P.: Extended time-to-collision measures for road traffic safety assessment. Accident Analysis and Prevention 33, 89–97 (2001)
Vogel, K.: A comparison of headway and time to collision as safety indicators. Accident Analysis and Prevention 35, 427–433 (2003)
Krauss, S., Wagner, P.: Metastable states in a microscopic model of traffic flow. Physical Review E 55 (1997)
Neubert, L., Santen, L., Schadschneider, A., Schreckenberg, M.: Towards a realistic microscopic description of highway traffic. J. Phys. A: Math. Gen. 33, 477 (2000)
Lee, H.K., Barlovic, R., Schreckenberg, M., Kim, D.: Mechanical restriction versus human overreaction triggering congested traffic states. Phys. Rev. Lett. 92, 23 (2004)
Kerner, B., Klenov, S., Schreckenberg, M.: Simple cellular automaton model for traffic breakdown, highway capacity, and synchronized flow. Physical Review EÂ 84, 046110 (2011)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Taniguchi, Y., Suzuki, H. (2012). A Traffic Cellular Automaton with Time to Collision Incorporated. In: Sirakoulis, G.C., Bandini, S. (eds) Cellular Automata. ACRI 2012. Lecture Notes in Computer Science, vol 7495. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33350-7_86
Download citation
DOI: https://doi.org/10.1007/978-3-642-33350-7_86
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-33349-1
Online ISBN: 978-3-642-33350-7
eBook Packages: Computer ScienceComputer Science (R0)