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Journal of Advanced Transportation
Volume 2017, Article ID 7058789, 15 pages
https://doi.org/10.1155/2017/7058789
Research Article

Integrated Optimization of Bus Line Fare and Operational Strategies Using Elastic Demand

1School of Transportation & Logistics, Dalian University of Technology, 2 Linggong Road, Ganjingzi District, Dalian, Liaoning 116024, China
2Transportation Research Centre, Department of Civil and Environmental Engineering, 20 Symonds Street, University of Auckland, Auckland, New Zealand
3Faculty of Civil and Environmental Engineering, Technion-Israel Institute of Technology, 32000 Haifa, Israel
4College of Transport & Communications, Shanghai Maritime University, 1550 Haigang Avenue, Pudong, Shanghai 201306, China
5School of Transportation & Logistics, Faculty of Infrastructure Engineering, Dalian University of Technology, Dalian 116024, China

Correspondence should be addressed to Avishai (Avi) Ceder; zn.ca.dnalkcua@redec.a

Received 6 December 2016; Revised 11 March 2017; Accepted 30 March 2017; Published 20 April 2017

Academic Editor: S. C. Wong

Copyright © 2017 Chunyan Tang 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. Ceder, Public Transit Planning and Operation: Theory, Modeling and Practice, Elsevier, Oxford, UK, 2007.
  2. A. Ceder, Public Transit Planning and Operation: Modeling. Practice and Behavior, CRC Press, Boca Raton, Fla, USA, 2nd edition, 2016.
  3. P. G. Furth and F. B. Day, “Transit routing and scheduling strategies for heavy demand corridors,” Transportation Research Record, vol. 1101, pp. 23–26, 1985. View at Google Scholar · View at Scopus
  4. P. G. Furth, “Short turning on transit routes,” Transportation Research Record, vol. 1108, pp. 42–52, 1987. View at Google Scholar · View at Scopus
  5. A. Ceder, “Optimal design of transit short-turn trips,” Transportation Research Record, vol. 1221, pp. 8–22, 1989. View at Google Scholar
  6. P. Delle Site and F. Filippi, “Service optimization for bus corridors with short-turn strategies and variable vehicle size,” Transportation Research Part A: Policy and Practice, vol. 32, no. 1, pp. 19–38, 1998. View at Publisher · View at Google Scholar · View at Scopus
  7. A. Tirachini, C. E. Cortés, and S. R. Jara-Díaz, “Optimal design and benefits of a short turning strategy for a bus corridor,” Transportation, vol. 38, no. 1, pp. 169–189, 2011. View at Publisher · View at Google Scholar · View at Scopus
  8. C. E. Cortés, S. Jara-Díaz, and A. Tirachini, “Integrating short turning and deadheading in the optimization of transit services,” Transportation Research Part A: Policy and Practice, vol. 45, no. 5, pp. 419–434, 2011. View at Publisher · View at Google Scholar · View at Scopus
  9. L. Fu, Q. Liu, and P. Calamai, “Real-time optimization model for dynamic scheduling of transit operations,” Transportation Research Record, no. 1857, pp. 48–55, 2003. View at Google Scholar · View at Scopus
  10. Z. Liu, Y. Yan, X. Qu, and Y. Zhang, “Bus stop-skipping scheme with random travel time,” Transportation Research Part C: Emerging Technologies, vol. 35, pp. 46–56, 2013. View at Publisher · View at Google Scholar · View at Scopus
  11. J. Chen, Z. Liu, S. Zhu, and W. Wang, “Design of limited-stop bus service with capacity constraint and stochastic travel time,” Transportation Research Part E: Logistics and Transportation Review, vol. 83, pp. 1–15, 2015. View at Publisher · View at Google Scholar · View at Scopus
  12. C. Leiva, J. C. Muñoz, R. Giesen, and H. Larrain, “Design of limited-stop services for an urban bus corridor with capacity constraints,” Transportation Research Part B: Methodological, vol. 44, no. 10, pp. 1186–1201, 2010. View at Publisher · View at Google Scholar · View at Scopus
  13. P. R. Tétreault and A. M. El-Geneidy, “Estimating bus run times for new limited-stop service using archived AVL and APC data,” Transportation Research Part A: Policy and Practice, vol. 44, no. 6, pp. 390–402, 2010. View at Publisher · View at Google Scholar · View at Scopus
  14. A. M. El-Geneidy and J. Surprenant-Legault, “Limited-stop bus service: an evaluation of an implementation strategy,” Public Transport, vol. 2, no. 4, pp. 291–306, 2010. View at Publisher · View at Google Scholar · View at Scopus
  15. V. Chiraphadhanakul and C. Barnhart, “Incremental bus service design: combining limited-stop and local bus services,” Public Transport, vol. 5, no. 1-2, pp. 53–78, 2013. View at Publisher · View at Google Scholar · View at Scopus
  16. Y. Y. Ulusoy, S. Chien, and C.-H. Wei, “Optimal all-stop, short-turn, and express transit services under heterogeneous demand,” Transportation Research Record, no. 2197, pp. 8–18, 2010. View at Publisher · View at Google Scholar · View at Scopus
  17. Y. Y. Ulusoy and S. I.-J. Chien, “Optimal bus service patterns and frequencies considering transfer demand elasticity with genetic algorithm,” Transportation Planning and Technology, vol. 38, no. 4, pp. 409–424, 2015. View at Publisher · View at Google Scholar · View at Scopus
  18. A. Evans, “A theoretical comparison of competition with other economic regimes for bus services,” Journal of Transport Economics & Policy, vol. 21, no. 1, pp. 7–36, 1987. View at Google Scholar · View at Scopus
  19. H. Yang and H.-J. Huang, “Analysis of the time-varying pricing of a bottleneck with elastic demand using optimal control theory,” Transportation Research Part B: Methodological, vol. 31, no. 6, pp. 425–440, 1997. View at Publisher · View at Google Scholar · View at Scopus
  20. W. H. K. Lam and J. Zhou, “Optimal fare structure for transit networks with elastic demand,” Transportation Research Record, no. 1733, pp. 8–14, 2000. View at Google Scholar · View at Scopus
  21. H. Yang and W. K. Kin, “Modeling bus service under competition and regulation,” Journal of Transportation Engineering, vol. 126, no. 5, pp. 419–425, 2000. View at Publisher · View at Google Scholar · View at Scopus
  22. G. Bellei, G. Gentile, and N. Papola, “Network pricing optimization in multi-user and multimodal context with elastic demand,” Transportation Research Part B: Methodological, vol. 36, no. 9, pp. 779–798, 2002. View at Publisher · View at Google Scholar · View at Scopus
  23. J.-L. Yao, C.-F. Hou, Z.-X. Yang, and C. Fu, “Optimization study on road pricing with variable bus frequency,” Journal of Transportation Systems Engineering and Information Technology, vol. 10, no. 2, pp. 93–99, 2010. View at Google Scholar · View at Scopus
  24. F. Jørgensen, T. A. Mathisen, and B. Larsen, “Evaluating transport user benefits and social surplus in a transport market—the case of the Norwegian ferries,” Transport Policy, vol. 18, no. 1, pp. 76–84, 2011. View at Publisher · View at Google Scholar · View at Scopus
  25. M. J. Klier and K. Haase, “Urban public transit network optimization with flexible demand,” OR Spectrum. Quantitative Approaches in Management, vol. 37, no. 1, pp. 195–215, 2015. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  26. S. K. Chang and P. M. Schonfeld, “Multiple period optimization of bus transit systems,” Transportation Research Part B, vol. 25, no. 6, pp. 453–478, 1991. View at Publisher · View at Google Scholar · View at Scopus
  27. S. I.-J. Chien and L. N. Spasovic, “Optimization of grid bus transit systems with elastic demand,” Journal of Advanced Transportation, vol. 36, no. 1, pp. 63–91, 2002. View at Publisher · View at Google Scholar · View at Scopus
  28. F.-M. Tsai, S. I.-J. Chien, and L. N. Spasovic, “Optimizing distance-based fares and headway of an intercity transportation system with elastic demand and trip length differentiation,” Transportation Research Record, no. 2089, pp. 101–109, 2008. View at Publisher · View at Google Scholar · View at Scopus
  29. I. Savage, “The dynamics of fare and frequency choice in urban transit,” Transportation Research Part A: Policy and Practice, vol. 44, no. 10, pp. 815–829, 2010. View at Publisher · View at Google Scholar · View at Scopus
  30. Z.-C. Li, W. H. K. Lam, S. C. Wong, and A. Sumalee, “Design of a rail transit line for profit maximization in a linear transportation corridor,” Transportation Research Part E: Logistics and Transportation Review, vol. 48, no. 1, pp. 50–70, 2012. View at Publisher · View at Google Scholar · View at Scopus
  31. M. E. Kim and P. Schonfeld, “Maximizing net benefits for conventional and flexible bus services,” Transportation Research Part A: Policy and Practice, vol. 80, pp. 116–133, 2015. View at Publisher · View at Google Scholar · View at Scopus
  32. R. Voith, “Fares, service levels, and demographics: what determines commuter rail ridership in the long run?” Journal of Urban Economics, vol. 41, no. 2, pp. 176–197, 1997. View at Publisher · View at Google Scholar · View at Scopus
  33. R. A. Petitte, “Fare variable construction and rail transit ridership elasticities case study of the Washington, D.C., metrorail system,” Transportation Research Record, no. 1753, pp. 102–110, 2001. View at Google Scholar · View at Scopus
  34. 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
  35. O. Cats, J. West, and J. Eliasson, “A dynamic stochastic model for evaluating congestion and crowding effects in transit systems,” Transportation Research Part B: Methodological, vol. 89, pp. 43–57, 2016. View at Publisher · View at Google Scholar · View at Scopus
  36. D. Fleishman, N. Shaw, M. Joshi, and R. Freeze, “Fare policies, structures, and technologies,” TCRP Report 10, Transportation Research Board, Washington, DC, USA, 1996. View at Google Scholar
  37. S. I.-J. 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
  38. Z.-C. Li, W. H. 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 · View at Scopus
  39. K. Gkritza, M. G. Karlaftis, and F. L. Mannering, “Estimating multimodal transit ridership with a varying fare structure,” Transportation Research Part A: Policy and Practice, vol. 45, no. 2, pp. 148–160, 2011. View at Publisher · View at Google Scholar · View at Scopus
  40. F.-M. Tsai, S. Chien, and C.-H. Wei, “Joint optimization of temporal headway and differential fare for transit systems considering heterogeneous demand elasticity,” Journal of Transportation Engineering, vol. 139, no. 1, pp. 30–39, 2013. View at Publisher · View at Google Scholar · View at Scopus
  41. D. Yook and K. Heaslip, “Determining appropriate fare levels for distance-based fare structure: considering users' behaviors in a time-expanded network,” Transportation Research Record, vol. 2415, pp. 127–135, 2014. View at Publisher · View at Google Scholar · View at Scopus
  42. 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
  43. G. Kocur and C. Hendrickson, “Design of local bus service with demand equilibration,” Transportation Science, vol. 16, no. 2, pp. 149–170, 1982. View at Publisher · View at Google Scholar · View at Scopus
  44. J. Viswanathan and I. E. Grossmann, “A combined penalty function and outer-approximation method for MINLP optimization,” Computers and Chemical Engineering, vol. 14, no. 7, pp. 769–782, 1990. View at Publisher · View at Google Scholar · View at Scopus
  45. A. Brooke, D. Kendrick, A. Meeraus, and R. Raman, GAMS: A User's Guide, GAMS Development Corporation, Washington, DC, USA, 2005.
  46. I. E. Grossmann, J. Viswanathan, and A. Vecchiette, DICOPT User's Manual, GAMS Development Corporation, Washington, DC, USA, 2008.
  47. Transportation Research Board, Transit Capacity and Quality of Service Manual, Transit Cooperative Research Program, Report 100, Transportation Research Board, Washington, DC, USA, 2nd edition, 2003.