Table of Contents Author Guidelines Submit a Manuscript
Discrete Dynamics in Nature and Society
Volume 2015 (2015), Article ID 219574, 12 pages
http://dx.doi.org/10.1155/2015/219574
Research Article

Modelling Signal Controlled Traffic Based on Driving Behaviors

Beijing Key Lab of Traffic Engineering, College of Metropolitan Transportation, Beijing University of Technology, Beijing 100124, China

Received 13 October 2014; Revised 26 December 2014; Accepted 7 January 2015

Academic Editor: Carlo Piccardi

Copyright © 2015 Yang Wang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. K. Nagel and M. Schreckenberg, “A cellular automaton model for freeway traffic,” Journal de Physique I, vol. 2, no. 12, pp. 2221–2229, 1992. View at Publisher · View at Google Scholar
  2. Y. Ishibashi and M. Fukui, “Temporal variations of traffic flow in the Biham-Middleton-Levine model,” Journal of the Physical Society of Japan, vol. 63, no. 8, pp. 2882–2885, 1994. View at Publisher · View at Google Scholar · View at Scopus
  3. R. Barlovic, L. Santen, A. Schadschneider, and M. Schreckenberg, “Metastable states in cellular automata for traffic flow,” European Physical Journal B, vol. 5, no. 3, pp. 793–800, 1998. View at Publisher · View at Google Scholar · View at Scopus
  4. F. Knorr and M. Schreckenberg, “The comfortable driving model revisited: traffic phases and phase transitions,” Journal of Statistical Mechanics: Theory and Experiment, vol. 2013, no. 7, Article ID P07002, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  5. M. E. Larraga, J. A. del Rio, and A. Schadschneider, “New kind of phase separation in a CA traffic model with anticipation,” Journal of Physics A: Mathematical and General, vol. 37, no. 12, pp. 3769–3781, 2004. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  6. R. Jiang and Q.-S. Wu, “Open boundaries in a cellular automata model for synchronized flow: effects of nonmonotonicity,” Physical Review E, vol. 68, no. 2, Article ID 026135, 2003. View at Google Scholar · View at Scopus
  7. J.-F. Tian, B. Jia, X.-G. Li, R. Jiang, X.-M. Zhao, and Z.-Y. Gao, “Synchronized traffic flow simulating with cellular automata model,” Physica A: Statistical Mechanics and its Applications, vol. 388, no. 23, pp. 4827–4837, 2009. View at Publisher · View at Google Scholar · View at Scopus
  8. Z.-T. Xiang, Y.-J. Li, Y.-F. Chen, and L. Xiong, “Simulating synchronized traffic flow and wide moving jam based on the brake light rule,” Physica A: Statistical Mechanics and Its Applications, vol. 392, no. 21, pp. 5399–5413, 2013. View at Publisher · View at Google Scholar · View at Scopus
  9. J.-F. Tian, N. Jia, N. Zhu, B. Jia, and Z.-Z. Yuan, “Brake light cellular automaton model with advanced randomization for traffic breakdown,” Transportation Research Part C: Emerging Technologies, vol. 44, pp. 282–298, 2014. View at Publisher · View at Google Scholar · View at Scopus
  10. K. Gao, R. Jiang, B.-H. Wang, and Q.-S. Wu, “Discontinuous transition from free flow to synchronized flow induced by short-range interaction between vehicles in a three-phase traffic flow model,” Physica A, vol. 388, no. 15-16, pp. 3233–3243, 2009. View at Publisher · View at Google Scholar · View at Scopus
  11. B. Jiaa, X.-G. Lia, T. Chenb, R. Jiangc, and Z.-Y. Gao, “Cellular automaton model with time gap dependent randomisation under Kerner's three-phase traffic theory,” Transportmetrica, vol. 7, no. 2, pp. 127–140, 2011. View at Publisher · View at Google Scholar · View at Scopus
  12. J. P. L. Neto, M. L. Lyra, and C. R. da Silva, “Phase coexistence induced by a defensive reaction in a cellular automaton traffic flow model,” Physica A, vol. 390, no. 20, pp. 3558–3565, 2011. View at Publisher · View at Google Scholar · View at Scopus
  13. A. Schadschneider, D. Chowdhury, and K. Nishinari, Stochastic Transport in Complex Systems: From Molecules to Vehicles, Elsevier Science, Oxford, UK, 2010.
  14. D. W. Huang and W. N. Huang, “Traffic signal synchronization,” Physical Review E, vol. 67, no. 3, Article ID 056124, 2003. View at Publisher · View at Google Scholar
  15. T. Neumann and P. Wagner, “Delay times in a cellular traffic flow model for road sections with periodic outflow,” The European Physical Journal B, vol. 63, no. 2, pp. 255–264, 2008. View at Publisher · View at Google Scholar · View at Scopus
  16. R. Jiang and Q.-S. Wu, “A stopped time dependent randomization cellular automata model for traffic flow controlled by traffic light,” Physica A: Statistical Mechanics and its Applications, vol. 364, pp. 493–496, 2006. View at Publisher · View at Google Scholar · View at Scopus
  17. A. Varas, M. D. Cornejo, B. A. Toledo et al., “Resonance, criticality, and emergence in city traffic investigated in cellular automaton models,” Physical Review E—Statistical, Nonlinear, and Soft Matter Physics, vol. 80, no. 5, Article ID 056108, 2009. View at Publisher · View at Google Scholar · View at Scopus
  18. L.-J. Tian, H.-J. Huang, and T.-L. Liu, “Information feedback strategies in a signal controlled network with overlapped routes,” Chinese Physics Letters, vol. 26, no. 7, Article ID 078903, 2009. View at Publisher · View at Google Scholar · View at Scopus
  19. J. de Gier, T. M. Garoni, and O. Rojas, “Traffic flow on realistic road networks with adaptive traffic lights,” Journal of Statistical Mechanics, vol. 2011, no. 4, Article ID P04008, 2011. View at Publisher · View at Google Scholar · View at Scopus
  20. D. Chowdhury and A. Schadschneider, “Self-organization of traffic jams in cities: effects of stochastic dynamics and signal periods,” Physical Review E, vol. 59, no. 2, Article ID R1311, 1999. View at Google Scholar · View at Scopus
  21. B. S. Kerner, S. L. Klenov, G. Hermanns, P. Hemmerle, H. Rehborn, and M. Schreckenberg, “Synchronized flow in oversaturated city traffic,” Physical Review E, vol. 88, no. 5, Article ID 054801, 2013. View at Publisher · View at Google Scholar · View at Scopus
  22. B. S. Kerner, S. L. Klenov, and M. Schreckenberg, “Traffic breakdown at a signal: classical theory versus the three-phase theory of city traffic,” Journal of Statistical Mechanics, vol. 2014, no. 3, Article ID P03001, 2014. View at Google Scholar
  23. K. R. Boff and J. E. Lincoln, Engineering Data Compendium, USAF, H. G. Armstrong Medical Research Laboratory, Wright-Patterson AFB, Ohio, USA, 1988.
  24. J.-F. Tian, Z.-Z. Yuan, M. Treiber, B. Jia, and W.-Y. Zhang, “Cellular automaton model within the fundamental-diagram approach reproducing some findings of the three-phase theory,” Physica A: Statistical Mechanics and its Applications, vol. 391, no. 11, pp. 3129–3139, 2012. View at Publisher · View at Google Scholar · View at Scopus
  25. L. Zheng, S. Ma, and S. Zhong, “Analysis of honk effect on the traffic flow in a cellular automaton model,” Physica A, vol. 390, no. 6, pp. 1072–1084, 2011. View at Publisher · View at Google Scholar · View at Scopus
  26. R. Jiang, M.-B. Hu, B. Jia, and Z.-Y. Gao, “A new mechanism for metastability of under-saturated traffic responsible for time-delayed traffic breakdown at the signal,” Computer Physics Communications, vol. 185, no. 5, pp. 1439–1442, 2014. View at Publisher · View at Google Scholar · View at Scopus