Table of Contents Author Guidelines Submit a Manuscript
Journal of Applied Mathematics
Volume 2013, Article ID 535878, 11 pages
http://dx.doi.org/10.1155/2013/535878
Research Article

The Optimal Taxi Fleet Size Structure under Various Market Regimes When Charging Taxis with Link-Based Toll

1School of Transportation and Logistics, Southwest Jiaotong University, Chengdu 610031, China
2School of Transportation, Southeast University, Nanjing 210096, China
3School of Management and Economics, University of Electronic Science and Technology of China, Chengdu 610054, China

Received 27 August 2013; Accepted 25 October 2013

Academic Editor: Guiomar Martín-Herrán

Copyright © 2013 Jincheng Zhu 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. A. C. Pigou, Wealth and Welfare, Macmillan, London, UK, 1920.
  2. D. A. King and J. R. Peters, “Slow down, you move too fast: the use of tolls by taxicabs in New York city,” in Proceedings of the 91st Annual Meeting of the Transportation Research Board, (Compendium of Papers, CD-ROM), 2012.
  3. R. D. Cairns and C. Liston-Heyes, “Competition and regulation in the taxi industry,” Journal of Public Economics, vol. 59, no. 1, pp. 1–15, 1996. View at Publisher · View at Google Scholar · View at Scopus
  4. H. Yang and S. C. Wong, “A network model of urban taxi services,” Transportation Research B, vol. 32, no. 4, pp. 235–246, 1998. View at Google Scholar · View at Scopus
  5. S. C. Wong and H. Yang, “Network model of urban taxi services: improved algorithm,” Transportation Research Record, no. 1623, pp. 27–30, 1998. View at Google Scholar · View at Scopus
  6. H. Yang, Y. W. Lau, S. C. Wong, and H. K. Lo, “A macroscopic taxi model for passenger demand, taxi utilization and level of services,” Transportation, vol. 27, no. 3, pp. 317–340, 2000. View at Publisher · View at Google Scholar · View at Scopus
  7. J. M. Xu, S. C. Wong, H. Yang, and C. O. Tong, “Modeling level of urban taxi services using neural network,” Journal of Transportation Engineering, vol. 125, no. 3, pp. 216–223, 1999. View at Google Scholar · View at Scopus
  8. K. I. Wong, S. C. Wong, and H. Yang, “Modeling urban taxi services in congested road networks with elastic demand,” Transportation Research B, vol. 35, no. 9, pp. 819–842, 2001. View at Publisher · View at Google Scholar · View at Scopus
  9. H. Yang, S. C. Wong, and K. I. Wong, “Demand-supply equilibrium of taxi services in a network under competition and regulation,” Transportation Research B, vol. 36, no. 9, pp. 799–819, 2002. View at Publisher · View at Google Scholar · View at Scopus
  10. H. Yang, M. Ye, W. H. Tang, and S. C. Wong, “Regulating taxi services in the presence of congestion externality,” Transportation Research A, vol. 39, no. 1, pp. 17–40, 2005. View at Publisher · View at Google Scholar · View at Scopus
  11. K. I. Wong, S. C. Wong, H. Yang, and J. H. Wu, “Modeling urban taxi services with multiple user classes and vehicle modes,” Transportation Research B, vol. 42, no. 10, pp. 985–1007, 2008. View at Publisher · View at Google Scholar · View at Scopus
  12. R. Shi and Z. Li, “Pricing of multimodal transportation networks under different market regimes,” Journal of Transportation Systems Engineering and Information Technology, vol. 10, no. 5, pp. 91–97, 2010. View at Google Scholar · View at Scopus
  13. J. D. Ortuzar and L. G. Willumsen, Modeling Transport, John Wiley & Sons, New York, NY, USA, 2nd edition, 1996.
  14. E. Cavazzuti, M. Pappalardo, and M. Passacantando, “Nash equilibria, variational inequalities, and dynamical systems,” Journal of Optimization Theory and Applications, vol. 114, no. 3, pp. 491–506, 2002. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  15. M. Florian, J. H. Wu, and S. He, “A multi-class multi-mode variable demand network equilibrium model with hierarchical logit structures,” in Transportation and Network Analysis: Current Trends—Miscellanea in Honor of Michael Florian, P. Marcotte and M. Gendreau, Eds., vol. 63 of Applied Optimization, pp. 119–133, Kluwer Academic, London, UK, 2002. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  16. P. T. Harker, “A variational inequality approach for the determination of oligopolistic market equilibrium,” Mathematical Programming, vol. 30, no. 1, pp. 105–111, 1984. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  17. J. Zhou, W. H. K. Lam, and B. G. Heydecker, “The generalized Nash equilibrium model for oligopolistic transit market with elastic demand,” Transportation Research B, vol. 39, no. 6, pp. 519–544, 2005. View at Publisher · View at Google Scholar · View at Scopus
  18. J. C. Zhu, F. Xiao, and X. B. Liu, “Taxis in road pricing zone: should they pay the congestion charge?” submitted to Journal of Advanced Transportation.
  19. H. J. Huang, “Pricing and logit-based mode choice models of a transit and highway system with elastic demand,” European Journal of Operational Research, vol. 140, no. 3, pp. 562–570, 2002. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet