Table of Contents Author Guidelines Submit a Manuscript
Discrete Dynamics in Nature and Society
Volume 2012 (2012), Article ID 858731, 14 pages
http://dx.doi.org/10.1155/2012/858731
Research Article

Convergence Study of Minimizing the Nonconvex Total Delay Using the Lane-Based Optimization Method for Signal-Controlled Junctions

Department of Civil and Architectural Engineering, City University of Hong Kong, Tat Chee Road, Kowloon, Hong Kong

Received 12 January 2012; Revised 8 March 2012; Accepted 20 March 2012

Academic Editor: Beatrice Paternoster

Copyright © 2012 C. K. Wong and Y. Y. Lee. 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. A. S. Alfa, “Modelling traffic queues at a signalized intersection with vehicle-actuated control and Markovian arrival processes,” Computers & Mathematics with Applications, vol. 30, no. 8, pp. 105–119, 1995. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  2. S. Blandin, G. Bretti, A. Cutolo, and B. Piccoli, “Numerical simulations of traffic data via fluid dynamic approach,” Applied Mathematics and Computation, vol. 210, no. 2, pp. 441–454, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  3. S.-W. Chiou, “Reserve capacity of signal-controlled road network,” Applied Mathematics and Computation, vol. 190, no. 2, pp. 1602–1611, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  4. S.-W. Chiou, “An optimization model for area traffic control with link tolls,” Applied Mathematics and Computation, vol. 192, no. 2, pp. 520–532, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  5. A. de Palma, C. Lefèvre, and M. Ben-Akiva, “A dynamic model of peak period traffic flows and delays in a corridor,” Computers & Mathematics with Applications, vol. 14, no. 3, pp. 201–223, 1987. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  6. W.-C. Hong, Y. Dong, F. Zheng, and S. Y. Wei, “Hybrid evolutionary algorithms in a SVR traffic flow forecasting model,” Applied Mathematics and Computation, vol. 217, no. 15, pp. 6733–6747, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  7. D. C. Park, “Prediction of MPEG video traffic over ATM networks using dynamic bilinear recurrent neural network,” Applied Mathematics and Computation, vol. 205, no. 2, pp. 648–657, 2007. View at Google Scholar
  8. A. H. Shahpar, H. Z. Aashtiani, and A. Babazadeh, “Dynamic penalty function method for the side constrained traffic assignment problem,” Applied Mathematics and Computation, vol. 206, no. 1, pp. 332–345, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  9. F.V. Webster, “Traffic signal settings,” Road Research Technical Paper number 39, HMSO, London, UK, 1958. View at Google Scholar
  10. R. E. Allsop, “Delay-minimizing settings for fixed-time traffic signals at a single road junction,” Journal of the Institute of Mathematics and its Applications, vol. 8, pp. 164–185, 1971. View at Publisher · View at Google Scholar
  11. R. E. Allsop, “Estimating the traffic capacity of a signalized road junction,” Transportation Research, vol. 6, pp. 245–255, 1972. View at Google Scholar
  12. G. Improta and G. E. Cantarella, “Control system design for an individual signalized junction,” Transportation Research, vol. 18, no. 2, pp. 147–167, 1984. View at Publisher · View at Google Scholar
  13. S. Gallivan and B. G. Heydecker, “Optimising the control performance of traffic signals at a single junction,” Transportation Research, vol. 22, pp. 357–370, 1988. View at Google Scholar
  14. B. G. Heydecker, “Sequencing of traffic signals,” in Mathematics in Transport and Planning and Control, J. D. Griffiths, Ed., pp. 57–67, Clarendon Press, Oxford, UK, 1992. View at Google Scholar
  15. C. K. Wong and B. G. Heydecker, “Optimal allocation of turns to lanes at an isolated signal-controlled junction,” Transportation Research Part B, vol. 45, no. 4, pp. 667–681, 2011. View at Publisher · View at Google Scholar · View at Scopus
  16. C. K. Wong and S. C. Wong, “Lane-based optimization of signal timings for isolated junctions,” Transportation Research Part B, vol. 37, no. 1, pp. 63–84, 2003. View at Publisher · View at Google Scholar · View at Scopus
  17. D. Capecchi and F. Vestroni, “Identification of finite element models in structural dynamics,” Engineering Structures, vol. 15, no. 1, pp. 21–30, 1993. View at Google Scholar
  18. W. T. Kung, Y. Y. Lee, and H. Y. Sun, “Sound leakage identification for an enclosed room using the probabilistic approach and model class selection index: an experiment,” Journal of Sound and Vibration, vol. 310, pp. 776–781, 2008. View at Google Scholar
  19. V. Peterka, “Bayesian system identification,” Automatica, vol. 17, no. 1, pp. 41–53, 1981. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  20. H. Y. Sun, Y. Y. Lee, A. Y. T. Leung, and C. F. Ng, “Distinguishing between the interior pressures induced from two independent sources within a room using the probabilistic approach,” Applied Acoustics, vol. 69, no. 6, pp. 496–505, 2008. View at Publisher · View at Google Scholar · View at Scopus
  21. R. M. Kimber, M. McDonald, and N. Hounsell, “The prediction of saturation flows for road junctions controlled by traffic signals,” TRRL Report RR 67, Transport and Road Research Laboratory, Crowthorne, 1986. View at Google Scholar
  22. C. K. Wong and S. C. Wong, “A lane-based optimization method for minimizing delay at isolated signal-controlled junctions,” Journal of Mathematical Modelling and Algorithms, vol. 2, no. 4, pp. 379–406, 2003. View at Publisher · View at Google Scholar · View at Zentralblatt MATH