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Journal of Applied Mathematics
Volume 2012, Article ID 727839, 13 pages
http://dx.doi.org/10.1155/2012/727839
Research Article

A Platoon Dispersion Model Based on a Truncated Normal Distribution of Speed

Department of Transportation Engineering, South China University of Technology, Guangzhou 510640, China

Received 24 November 2011; Revised 31 December 2011; Accepted 31 December 2011

Academic Editor: M. F. El-Amin

Copyright © 2012 Ming Wei 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. M. J. Lighthill and G. B. Whitham, “On kinematic waves:a theory of traffic flow on long crowded roads,” Proceedings of the Royal Society of London A, vol. 229, no. 1178, pp. 317–345, 1955. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  2. S. C. Wong and G. C. K. Wong, “An analytical shock-fitting algorithm for LWR kinematic wave model embedded with linear speed-density relationship,” Transportation Research B, vol. 36, no. 8, pp. 683–706, 2002. View at Publisher · View at Google Scholar · View at Scopus
  3. P. Zhang, S. C. Wong, and S. Q. Dai, “A conserved higher-order anisotropic traffic flow model: description of equilibrium and non-equilibrium flows,” Transportation Research B, vol. 43, no. 5, pp. 562–574, 2009. View at Publisher · View at Google Scholar · View at Scopus
  4. G. M. Pacey, “The progress of a bunch of vehicles released from a traffic signal,” Research Note RN/2665/GMP, Road Research Laboraroty, Crowthorne, Berkshire, UK, 1956. View at Google Scholar
  5. M. J. Grace and R. B. Potts, “A theory of the diffusion of traffic platoons,” Operation Research, vol. 12, no. 2, pp. 255–275, 1964. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  6. C. Q. Liu and P. K. Yang, “Diffusion models of traffic platoon on signal-intersection and control of coordinated signals,” Journal of Tongji University, vol. 24, no. 6, pp. 636–641, 1996. View at Google Scholar
  7. C. Q. Liu and P. K. Yang, “Diffusion model of density of traffic platoon and signal coordinated control,” China Journal of Highway and Transport, vol. 14, no. 1, pp. 89–91, 2001. View at Google Scholar · View at Scopus
  8. C. Q. Liu and P. K. Yang, “Modification of Grace's density diffusion model and its application,” Journal of Highway and Transportation Research and Development, vol. 18, no. 1, pp. 62–64, 2001. View at Google Scholar · View at Scopus
  9. D. H. Wang, F. Li, and X. M. Song, “Modification of Grace’s density diffusion model and its application,” Journal of Jilin University, vol. 39, no. 4, pp. 891–896, 2009. View at Google Scholar
  10. D. I. Robertson, “TRANSYT—a traffic network study tool,” RRL Report LR 253, Road Research Laboratory, England, UK, 1969. View at Google Scholar
  11. R. A. Vincent, A. I. Mitchell, and D.I. Robertson, “User Guide to TRANSYT version 8,” RRL Report LR 888, Road Research Laboratory, Crowthorne, Berkshire, UK, 1980. View at Google Scholar
  12. M. Maher, “A comparison of the use of the cell transmission and platoon dispersion models in TRANSYT 13,” Transportation Planning and Technology, vol. 34, no. 1, pp. 71–85, 2011. View at Publisher · View at Google Scholar · View at Scopus
  13. P. A. Seddon, “Another look at platoon dispersion: the Kinematic wave theory,” Traffic Engineering and Control, vol. 13, no. 8, pp. 332–336, 1971. View at Google Scholar
  14. P. A. Seddon, “Another look at platoon dispersion: the diffusion theory,” Traffic Engineering and Control, vol. 13, no. 9, pp. 388–390, 1972. View at Google Scholar
  15. P. A. Seddon, “Another look at platoon dispersion: the recurrence relationship,” Traffic Engineering and Control, vol. 13, no. 10, pp. 442–444, 1972. View at Google Scholar
  16. D. Wang, Y. Zhang, and W. Zhitao, “Study of platoon dispersion models,” Transportation Research Board Annual Meeting, pp. 3563–3571, 2003. View at Google Scholar
  17. M. Wei, W. Z. Jin, and L.O. Shen, “A platoon dispersion model considering the speed range limits,” Journal of Jilin University. In press.