Table of Contents Author Guidelines Submit a Manuscript
Journal of Applied Mathematics
Volume 2014 (2014), Article ID 197515, 11 pages
http://dx.doi.org/10.1155/2014/197515
Research Article

Fare Design in Urban Transit Network considering Elastic Demand and Adverse Weather’s Impact

1School of Economics and Management, Tongji University, Shanghai 200092, China
2Shenyin & Wanguo Securities Co. Ltd., Shanghai 200031, China

Received 7 September 2013; Revised 23 January 2014; Accepted 3 March 2014; Published 15 April 2014

Academic Editor: Ching-Jong Liao

Copyright © 2014 Jiantong Zhang 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. F. V. Webstera and P. H. Blya, “The demand for public transport,” Transport Reviews, vol. 1, pp. 323–351, 1981. View at Google Scholar
  2. N. Paulley, R. Balcombe, R. Mackett et al., “The demand for public transport: the effects of fares, quality of service, income and car ownership,” Transport Policy, vol. 13, no. 4, pp. 295–306, 2006. View at Publisher · View at Google Scholar · View at Scopus
  3. R. Balcombe, R. Mackett, N. Pauley et al., “The demand for public transport: a practical guide,” TRL Report TRL593, 2004. View at Google Scholar
  4. A. Sumalee, K. Uchida, and W. H. K. Lam, “Stochastic multi-modal transport network under demand uncertainties and adverse weather condition,” Transportation Research C: Emerging Technologies, vol. 19, no. 2, pp. 338–350, 2011. View at Publisher · View at Google Scholar · View at Scopus
  5. C. O. Tong and S. C. Wong, “A stochastic transit assignment model using a dynamic schedule-based network,” Transportation Research B: Methodological, vol. 33, no. 2, pp. 107–121, 1998. View at Google Scholar · View at Scopus
  6. M. H. Poon, S. C. Wong, and C. O. Tong, “A dynamic schedule-based model for congested transit networks,” Transportation Research B: Methodological, vol. 38, no. 4, pp. 343–368, 2004. View at Publisher · View at Google Scholar · View at Scopus
  7. C. O. Tong, S. C. Wong, M. H. Poon, and M. C. Tan, “A schedule-based dynamic transit network model: recent advances and prospective future research,” Journal of Advanced Transportation, vol. 35, no. 2, pp. 175–195, 2001. View at Google Scholar · View at Scopus
  8. A. Nuzzolo and U. Crisalli, “The Schedule-Based approach in dynamictransit modelling: a general overview,” in Schedule-Based Dynamic Transitmodeling: Theory and Applications, N. H. M. Wilson and A. Nuzzolo, Eds., pp. 1–24, Kluwer Academic Publisher, 2004. View at Google Scholar
  9. F. Kurauchi and A. Sumalee, “Editorial: evaluation and enhancement of transport network reliability: network equilibrium based approach,” Journal of Advanced Transportation, vol. 42, no. 3, pp. 209–212, 2008. View at Google Scholar · View at Scopus
  10. D. Watling, “User equilibrium traffic network assignment with stochastic travel times and late arrival penalty,” European Journal of Operational Research, vol. 175, no. 3, pp. 1539–1556, 2006. View at Publisher · View at Google Scholar · View at Scopus
  11. H. K. Lo, X. W. Luo, and B. W. Y. Siu, “Degradable transport network: travel time budget of travelers with heterogeneous risk aversion,” Transportation Research B: Methodological, vol. 40, no. 9, pp. 792–806, 2006. View at Publisher · View at Google Scholar · View at Scopus
  12. W. B. Jackson and J. V. Jucker, “An empirical study of travel time variability and travel choice behavior,” Transportation Science, vol. 16, no. 4, pp. 460–475, 1981. View at Google Scholar
  13. M. A. Abdel-Aty, R. Kitamura, and P. P. Jovanis, “Investigating effect of travel time variability on route choice using repeated-measurement stated preference data,” Transportation Research Record, no. 1493, pp. 39–45, 1995. View at Google Scholar · View at Scopus
  14. Z. Zhou and A. Chen, “Comparative analysis of three user equilibrium models under stochastic demand,” Journal of Advanced Transportation, vol. 42, no. 3, pp. 239–263, 2008. View at Google Scholar · View at Scopus
  15. B. W. Y. Siu and H. K. Lo, “Doubly uncertain transportation network: degradable capacity and stochastic demand,” European Journal of Operational Research, vol. 191, no. 1, pp. 166–181, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  16. H. Mohring, “Optimization and scale economies in urban bus transportation,” The American Economic Review, vol. 62, pp. 591–604, 1972. View at Google Scholar
  17. H. Mohring, Transportation Economics, Ballinger, Cambridge, Mass, USA, 1976.
  18. R. Turvey and H. Mohring, “Optimal bus fares,” Journal of Transport Economics and Policy, vol. 9, pp. 280–286, 1975. View at Google Scholar
  19. R. Cervero, “Flat versus differentiated transit pricing: what's a fair fare?” Transportation, vol. 10, no. 3, pp. 211–232, 1981. View at Publisher · View at Google Scholar · View at Scopus
  20. W. H. K. Lam, Z. Y. Gao, K. S. Chan, and H. Yang, “A stochastic user equilibrium assignment model for congested transit networks,” Transportation Research B: Methodological, vol. 33, no. 5, pp. 351–368, 1999. View at Publisher · View at Google Scholar · View at Scopus
  21. W. H. K. Lam, J. Zhou, and Z.-H. Sheng, “A capacity restraint transit assignment with elastic line frequency,” Transportation Research B: Methodological, vol. 36, no. 10, pp. 919–938, 2002. View at Publisher · View at Google Scholar · View at Scopus
  22. J. Zhou and W. H. K. Lam, “A bi-level programming approach: optimal transit fare under line capacity constraints,” Journal of Advanced Transportation, vol. 35, no. 2, pp. 105–124, 2001. View at Google Scholar · View at Scopus
  23. Z.-C. Li, W. H. K. Lam, and S. C. Wong, “The optimal transit fare structure under different market regimes with uncertainty in the network,” Networks and Spatial Economics, vol. 9, no. 2, pp. 191–216, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  24. Z. C. Li, W. H. K. Lam, and S. C. Wong, “Optimization of a bus and rail transit system with feeder bus services under different market regimes,” in Transportation and Traffic Theory, pp. 495–516, 2009. View at Google Scholar
  25. S. Nguyen and C. Dupius, “An efficient method for computing traffic equilibria in networks with asymmetric transportation costs,” Transport Science, vol. 18, pp. 185–202, 1984. View at Google Scholar
  26. Y. Sheffi, Urban Transportation Networks: Equilibrium Analysis with Mathematical Programming Methods, Prentice-Hall, Englewood Cliffs, NJ, USA, 1985.
  27. M. Ben-Akiva and S. R. Lerman, Discrete Choice Analysis: Theory and Application to Travel Demand, MIT Press, Cambridge, Mass, USA, 1985.
  28. W. H. K. Lam, H. Shao, and A. Sumalee, “Modeling impacts of adverse weather conditions on a road network with uncertainties in demand and supply,” Transportation Research B: Methodological, vol. 42, no. 10, pp. 890–910, 2008. View at Publisher · View at Google Scholar · View at Scopus
  29. J. H. Wu, M. Florian, and P. Marcotte, “Transit equilibrium assignment: a model and solution algorithms,” Transportation Science, vol. 28, pp. 193–203, 1994. View at Google Scholar
  30. Q. Tian, H.-J. Huang, and H. Yang, “Equilibrium properties of the morning peak-period commuting in a many-to-one mass transit system,” Transportation Research B: Methodological, vol. 41, no. 6, pp. 616–631, 2007. View at Publisher · View at Google Scholar · View at Scopus
  31. A. Sumalee and R. D. Connors, “Network equilibrium under cumulative prospect theory and endogenous stochastic demand and supply,” in Transportation and Traffic Theory, pp. 19–38, 2009. View at Google Scholar