Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2014 (2014), Article ID 686705, 6 pages
http://dx.doi.org/10.1155/2014/686705
Research Article

Analysis of Time of Day Fare Discounts on Urban Mass Transit Travel Behavior, Crowding, and Waiting Time

MOE Key Laboratory for Urban Transportation Complex Systems Theory and Technology, Beijing Jiaotong University, Beijing 100044, China

Received 20 February 2014; Revised 18 July 2014; Accepted 18 July 2014; Published 12 August 2014

Academic Editor: Hu Shao

Copyright © 2014 Xiao Guo and Huijun Sun. 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. H. Yang and X. Wang, “Managing network mobility with tradable credits,” Transportation Research Part B, vol. 45, no. 3, pp. 580–594, 2011. View at Publisher · View at Google Scholar · View at Scopus
  2. S. I. Y. Chien and C. F. M. Tsai, “Optimization of fare structure and service frequency for maximum profitability of transit systems,” Transportation Planning and Technology, vol. 30, no. 5, pp. 477–500, 2007. View at Publisher · View at Google Scholar · View at Scopus
  3. W. S. Vickrey, “Some implications of marginal cost pricing of public utilities,” American Economis Review, vol. 45, no. 2, pp. 605–620, 1955. View at Google Scholar
  4. H. Mohring, “Optimization and scale economies in urban bus transportation,” American Economic Review, vol. 62, no. 4, pp. 591–604, 1972. View at Google Scholar
  5. H. Mohring, Transportation Economics, Ballinger, Cambridge, Mass, USA, 1976.
  6. S. Vickrey, “Theory and transportation investment,” American Economic Review, vol. 59, no. 2, pp. 414–431, 1969. View at Google Scholar
  7. R. Arnott, A. de Palma, and R. Lindsey, “A structural model of peak-period congestion: a traffic bottleneck with elastic demand,” The American Economic Review, vol. 83, no. 1, pp. 161–179, 1993. View at Google Scholar
  8. T. Yao, M. M. Wei, B. Zhang, and T. Friesz, “Congestion derivatives for a traffic bottleneck with heterogeneous commuters,” Transportation Research B, vol. 46, no. 10, pp. 1454–1473, 2012. View at Publisher · View at Google Scholar · View at Scopus
  9. F. Xiao, W. Shen, and H. Michael Zhang, “The morning commute under flat toll and tactical waiting,” Transportation Research B, vol. 46, no. 10, pp. 1346–1359, 2012. View at Publisher · View at Google Scholar · View at Scopus
  10. Q. Tian, H. J. Huang, and W. H. K. Lam, “Modeling the crowding effects of transit system on commuters’ departure time choice behaviors,” in Proceedings of the 9th International Conference on Industrial Management, pp. 386–393, 2008.
  11. E. J. Gonzales and C. F. Daganzo, “Morning commute with competing modes and distributed demand: user equilibrium, system optimum, and pricing,” Transportation Research B: Methodological, vol. 46, no. 10, pp. 1519–1534, 2012. View at Publisher · View at Google Scholar · View at Scopus
  12. A. de Palma and S. Proost, “Imperfect competition and congestion in the city,” Journal of Urban Economics, vol. 60, no. 2, pp. 185–209, 2006. View at Publisher · View at Google Scholar · View at Scopus
  13. R. Zhong, A. Sumalee, and T. Maruyama, “Dynamic marginal cost, access control, and pollution charge: a comparison of bottleneck and whole link models,” Journal of Advanced Transportation, vol. 46, no. 3, pp. 191–221, 2012. View at Publisher · View at Google Scholar · View at Scopus
  14. K. A. Small, “The scheduling of consumer activities: work trips,” The American Economic Review, vol. 72, no. 3, pp. 467–479, 1982. View at Google Scholar · View at Scopus
  15. M. Kraus and Y. Yoshida, “The commuter's time-of-use decision and optimal pricing and service in urban mass transit,” Journal of Urban Economics, vol. 51, no. 1, pp. 170–195, 2002. View at Publisher · View at Google Scholar · View at Scopus
  16. M. Kraus, “A new look at the two-mode problem,” Journal of Urban Economics, vol. 54, no. 3, pp. 511–530, 2003. View at Publisher · View at Google Scholar · View at Scopus
  17. H. J. Huang, Q. Tian, H. Yang, and Z. Y. Gao, “Modeling the equilibrium bus riding behavior in morning rush hour,” in Proceedings of the 9th Annual Conference of the Hong Kong Society of Transportation Studies, pp. 434–442, Hong Kong, China, 2004.
  18. H.-J. Huang, Q. Tian, H. Yang, and Z.-Y. Gao, “Modal split and commuting pattern on a bottleneck-constrained highway,” Transportation Research E: Logistics and Transportation Review, vol. 43, no. 5, pp. 578–590, 2007. View at Publisher · View at Google Scholar · View at Scopus
  19. Z. Li and D. A. Hensher, “Crowding and public transport: a review of willingness to pay evidence and its relevance in project appraisal,” Transport Policy, vol. 18, no. 6, pp. 880–887, 2011. View at Publisher · View at Google Scholar · View at Scopus
  20. A. Schoebel and S. Scholl, “Line planning with minimal traveling time,” in Proceedings of 5th Workshop on Algorithmic Methods and Models for Optimization of Railroads, ATMOS, Palma de Mallorca, Spain, 2005.
  21. B. Yu, Z. Yang, and J. Yao, “Genetic algorithm for bus frequency optimization,” Journal of Transportation Engineering, vol. 136, no. 6, pp. 576–583, 2010. View at Publisher · View at Google Scholar · View at Scopus