Copyright © 2012 Kazuhiro Tobita and Takashi Nagatani. 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. T. Nagatani, “The physics of traffic jams,” Reports on Progress in Physics, vol. 65, no. 9, article 1331, 2002. View at Publisher · View at Google Scholar
2. D. Helbing, “Traffic and related self-driven many-particle systems,” Reviews of Modern Physics, vol. 73, no. 4, pp. 1067–1141, 2001. View at Publisher · View at Google Scholar
3. D. Chowdhury, L. Santen, and A. Schadscheider, “Statistical physics of vehicular traffic and some related systems,” Physics Reports, vol. 329, no. 4–6, pp. 199–329, 2000. View at Publisher · View at Google Scholar
4. B. S. Kerner, The Physics of Traffic, Springer, Heidelberg, Germany, 2004.
5. A. Kirchner and A. Schadschneider, “Simulation of evacuation processes using a bionics-inspired cellular automaton model for pedestrian dynamics,” Physica A, vol. 312, no. 1-2, pp. 260–276, 2002. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
6. W. Wang, W. Zhang, H. Guo, H. Bubb, and K. Ikeuchi, “A safety-based approaching behavioural model with various driving characteristics,” Transportation Research C, vol. 19, no. 6, pp. 1202–1214, 2011. View at Publisher · View at Google Scholar · View at Scopus
7. G. H. Peng, X. H. Cai, C. Q. Liu, and B. F. Cao, “A new lattice model of traffic flow with the consideration of the driverʼs forecast effects,” Physics Letters A, vol. 375, no. 22, pp. 2153–2157, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
8. T. Nagatani, “Chaotic jam and phase transition in traffic flow with passing,” Physical Review E, vol. 60, no. 2, pp. 1535–1541, 1999. View at Publisher · View at Google Scholar
9. L. A. Safonov, E. Tomer, V. V. Strygin, Y. Ashkenazy, and S. Havlin, “Multifractal chaotic attractors in a system of delay-differential equations modeling road traffic,” Chaos, vol. 12, no. 4, pp. 1006–1014, 2002. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
10. E. Brockfeld, R. Barlovic, A. Schadschneider, and M. Schreckenberg, “Optimizing traffic lights in a cellular automaton model for city traffic,” Physical Review E, vol. 64, no. 5, Article ID 056132, 12 pages, 2001. View at Publisher · View at Google Scholar · View at Scopus
11. D. W. Huang and W. N. Huang, “Traffic signal synchronization,” Physical Review E, vol. 67, no. 5, Article ID 056124, 7 pages, 2003. View at Scopus
12. M. Sasaki and T. Nagatani, “Transition and saturation of traffic flow controlled by traffic lights,” Physica A, vol. 325, no. 3-4, pp. 531–546, 2003. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
13. S. Lammer and D. Helbing, “Self-control of traffic lights and vehicle flows in urban road networks,” Journal of Statistical Mechanics: Theory and Experiment, vol. 2008, Article ID P04019, 2008. View at Publisher · View at Google Scholar
14. B. A. Toledo, V. Munoz, J. Rogan, and C. Tenreiro, “Modeling traffic through a sequence of traffic lights,” Physical Review E, vol. 70, no. 1, Article ID 016107, 6 pages, 2004. View at Publisher · View at Google Scholar
15. B. A. Toledo, E. Cerda, J. Rogan et al., “Universal and nonuniversal features in a model of city traffic,” Physical Review E, vol. 75, no. 2, Article ID 026108, 10 pages, 2007. View at Publisher · View at Google Scholar · View at Scopus
16. T. Nagatani, “Self-similar behavior of a single vehicle through periodic traffic lights,” Physica A, vol. 347, pp. 673–682, 2005. View at Publisher · View at Google Scholar · View at Scopus
17. T. Nagatani, “Control of vehicular traffic through a sequence of traffic lights positioned with disordered interval,” Physica A, vol. 368, no. 2, pp. 560–566, 2006. View at Publisher · View at Google Scholar · View at Scopus
18. T. Nagatani, “Clustering and maximal flow in vehicular traffic through a sequence of traffic lights,” Physica A, vol. 377, no. 2, pp. 651–660, 2007. View at Publisher · View at Google Scholar · View at Scopus
19. T. Nagatani, “Effect of irregularity on vehicular traffic through a sequence of traffic lights,” Physica A, vol. 387, no. 7, pp. 1637–1647, 2008. View at Publisher · View at Google Scholar · View at Scopus
20. T. Nagatani, “Traffic states and fundamental diagram in cellular automaton model of vehicular traffic controlled by signals,” Physica A, vol. 388, no. 8, pp. 1673–1681, 2009. View at Publisher · View at Google Scholar · View at Scopus
21. C. Chen, J. Chen, and X. Guo, “Influences of overtaking on two-lane traffic with signals,” Physica A, vol. 389, no. 1, pp. 141–148, 2010. View at Publisher · View at Google Scholar · View at Scopus
22. M. Fukui and Y. Ishibashi, “Traffic flow in 1D cellular automaton model including cars moving with high speed,” Journal of the Physical Society of Japan, vol. 65, pp. 1868–1870, 1996. View at Publisher · View at Google Scholar