Cellular Automaton Model with Non-hypothetical Congested Steady State Reproducing the Three-Phase Traffic Flow Theory
A new assumption is assumed to explain the mechanisms of traffic flow that in the noiseless limit, vehicles’ space gap will oscillate around the desired space gap, rather than keep the desired space gap, in the homogeneous congested traffic flow. It means there are no steady states of congested traffic and contradicts with the fundamental diagram approach and three-phase traffic flow theory both of which admit the existence of steady states of congested traffic. In order to verify this assumption, a cellular automaton model with non-hypothetical congested steady state is proposed, which is based on the Nagel-Schreckenberg model with additional slow-to-start and the effective desired space gap. Simulations show that this new model can produce the synchronized flow, the transitions from free flow to synchronized flow to wide moving jams, and multiple congested patterns observed by the three-phase theory.
KeywordsCellular automaton three-phase traffic flow fundamental diagram
Unable to display preview. Download preview PDF.
- 3.Kerner, B.S.: The physics of traffic: empirical freeway pattern features, engineering applications, and theory. Springer (2004)Google Scholar
- 4.Kerner, B.S.: Introduction to modern traffic flow theory and control: the long road to three-phase traffic theory. Springer (2009)Google Scholar
- 5.Treiber, M., Kesting, A.: Traffic Flow Dynamics. Springer (2013)Google Scholar
- 10.Payne, H.J.: FREFLO: A macroscopic simulation model of freeway traffic. Transportation Research Record 722 (1979)Google Scholar
- 13.Knospe, W., Santen, L., Schadschneider, A., Schreckenberg, M.: Towards a realistic microscopic description of highway traffic. Journal of Physics A: Mathematical and General 33(48), L477–L485 (2000)Google Scholar
- 15.Kerner, B.S., Klenov, S.L.: A microscopic model for phase transitions in traffic flow. Journal of Physics A: Mathematical and General 35(3), L31 (2002)Google Scholar
- 16.Kerner, B.S., Klenov, S.L.: Microscopic theory of spatial-temporal congested traffic patterns at highway bottlenecks. Physical Review E 68(3), 036130 (2003)Google Scholar
- 18.Kerner, B.S., Klenov, S.L., Schreckenberg, M.: Simple cellular automaton model for traffic breakdown, highway capacity, and synchronized flow. Physical Review E 84(4), 046110 (2011)Google Scholar
- 19.Kerner, B.S., Klenov, S.L., Schreckenberg, M.: Simple cellular automaton model for traffic breakdown, highway capacity, and synchronized flow. Physical Review E 84(4), 046110 (2011)Google Scholar
- 24.Gao, K., Jiang, R., Hu, S.-X., Wang, B.-H., Wu, Q.-S.: Cellular-automaton model with velocity adaptation in the framework of Kerners three-phase traffic theory. Physical Review E 76(2), 026105 (2007)Google Scholar
- 26.Treiber, M., Kesting, A., Helbing, D.: Understanding widely scattered traffic flows, the capacity drop, and platoons as effects of variance-driven time gaps. Physical Review E 74(1), 016123 (2006)Google Scholar