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Optimal transit fare and service frequency of a nonlinear origin-destination based fare structure

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  • Huang, Di
  • Liu, Zhiyuan
  • Liu, Pan
  • Chen, Jun

Abstract

This paper proposes a new nonlinear distance-based transit fare structure, which is measured by a function of the Euclidean distance between the origin and destination stations, termed as Origin-Destination (OD)-based fare. The novel fare structure encourages passengers to freely choose the most efficient trip plan. An optimization model is formulated based on a three-party game (involving the transport authority, transit company, and passenger) to determine the optimal fare function and frequency. An artificial bee colony algorithm is adopted to solve the model. Finally, a numerical example is provided to verify the proposed method.

Suggested Citation

  • Huang, Di & Liu, Zhiyuan & Liu, Pan & Chen, Jun, 2016. "Optimal transit fare and service frequency of a nonlinear origin-destination based fare structure," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 96(C), pages 1-19.
    • Handle: RePEc:eee:transe:v:96:y:2016:i:c:p:1-19
    DOI: 10.1016/j.tre.2016.10.004
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    1. Zhi-Chun Li & William Lam & S. Wong, 2009. "The Optimal Transit Fare Structure under Different Market Regimes with Uncertainty in the Network," Networks and Spatial Economics, Springer, vol. 9(2), pages 191-216, June.
    2. Tscharaktschiew, Stefan & Hirte, Georg, 2012. "Should subsidies to urban passenger transport be increased? A spatial CGE analysis for a German metropolitan area," Transportation Research Part A: Policy and Practice, Elsevier, vol. 46(2), pages 285-309.
    3. Philippe Gagnepain & Marc Ivaldi, 2002. "Stochastic Frontiers and Asymmetric Information Models," Journal of Productivity Analysis, Springer, vol. 18(2), pages 145-159, September.
    4. Spiess, Heinz & Florian, Michael, 1989. "Optimal strategies: A new assignment model for transit networks," Transportation Research Part B: Methodological, Elsevier, vol. 23(2), pages 83-102, April.
    5. Farber, Steven & Bartholomew, Keith & Li, Xiao & Páez, Antonio & Nurul Habib, Khandker M., 2014. "Assessing social equity in distance based transit fares using a model of travel behavior," Transportation Research Part A: Policy and Practice, Elsevier, vol. 67(C), pages 291-303.
    6. Jia Hao Wu & Michael Florian & Patrice Marcotte, 1994. "Transit Equilibrium Assignment: A Model and Solution Algorithms," Transportation Science, INFORMS, vol. 28(3), pages 193-203, August.
    7. Farahani, Reza Zanjirani & Miandoabchi, Elnaz & Szeto, W.Y. & Rashidi, Hannaneh, 2013. "A review of urban transportation network design problems," European Journal of Operational Research, Elsevier, vol. 229(2), pages 281-302.
    8. Jan-Dirk Schmöcker & Michael G.H. Bell & Fumitaka Kurauchi & Hiroshi Shimamoto, 2009. "A Game Theoretic Approach to the Determination of Hyperpaths in Transportation Networks," Springer Books, in: William H. K. Lam & S. C. Wong & Hong K. Lo (ed.), Transportation and Traffic Theory 2009: Golden Jubilee, chapter 0, pages 1-18, Springer.
    9. Hensher, David A. & Stanley, John, 2008. "Transacting under a performance-based contract: The role of negotiation and competitive tendering," Transportation Research Part A: Policy and Practice, Elsevier, vol. 42(9), pages 1143-1151, November.
    10. Gao, Ziyou & Wu, Jianjun & Sun, Huijun, 2005. "Solution algorithm for the bi-level discrete network design problem," Transportation Research Part B: Methodological, Elsevier, vol. 39(6), pages 479-495, July.
    11. Drevs, Florian & Tscheulin, Dieter K. & Lindenmeier, Jörg & Renner, Simone, 2014. "Crowding-in or crowding out: An empirical analysis on the effect of subsidies on individual willingness-to-pay for public transportation," Transportation Research Part A: Policy and Practice, Elsevier, vol. 59(C), pages 250-261.
    12. Finn Jørgensen & John Preston, 2007. "The Relationship Between Fare and Travel Distance," Journal of Transport Economics and Policy, University of Bath, vol. 41(3), pages 451-468, September.
    13. Lo, Hong K. & Yip, C. W. & Wan, K. H., 2003. "Modeling transfer and non-linear fare structure in multi-modal network," Transportation Research Part B: Methodological, Elsevier, vol. 37(2), pages 149-170, February.
    14. Liu, Zhiyuan & Wang, Shuaian & Meng, Qiang, 2014. "Optimal joint distance and time toll for cordon-based congestion pricing," Transportation Research Part B: Methodological, Elsevier, vol. 69(C), pages 81-97.
    15. Jørgensen, Finn & Pedersen, Pål Andreas, 2004. "Travel distance and optimal transport policy," Transportation Research Part B: Methodological, Elsevier, vol. 38(5), pages 415-430, June.
    16. Isabelle Perrigne & Quang Vuong, 2011. "Nonparametric Identification of a Contract Model With Adverse Selection and Moral Hazard," Econometrica, Econometric Society, vol. 79(5), pages 1499-1539, September.
    17. Philippe Gagnepain & Marc Ivaldi, 2002. "Incentive Regulatory Policies: The Case of Public Transit Systems in France," RAND Journal of Economics, The RAND Corporation, vol. 33(4), pages 605-629, Winter.
    18. Meng, Qiang & Liu, Zhiyuan & Wang, Shuaian, 2012. "Optimal distance tolls under congestion pricing and continuously distributed value of time," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(5), pages 937-957.
    19. Chen, Anthony & Lo, Hong K. & Yang, Hai, 2001. "A self-adaptive projection and contraction algorithm for the traffic assignment problem with path-specific costs," European Journal of Operational Research, Elsevier, vol. 135(1), pages 27-41, November.
    20. Wang, Shuaian & Chen, Weijie & Zheng, Yuan, 2016. "Willingness to board: A novel concept for modeling queuing up passengersAuthor-Name: Liu, Zhiyuan," Transportation Research Part B: Methodological, Elsevier, vol. 90(C), pages 70-82.
    21. Chen, Jingxu & Liu, Zhiyuan & Zhu, Senlai & Wang, Wei, 2015. "Design of limited-stop bus service with capacity constraint and stochastic travel time," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 83(C), pages 1-15.
    22. M. Pilar Socorro & Gines de Rus, 2010. "The effectiveness of the Spanish urban transport contracts in terms of incentives," Applied Economics Letters, Taylor & Francis Journals, vol. 17(9), pages 913-916.
    23. Yang, Hai & Bell, Michael G. H., 2001. "Transport bilevel programming problems: recent methodological advances," Transportation Research Part B: Methodological, Elsevier, vol. 35(1), pages 1-4, January.
    24. Joaquín de Cea & Enrique Fernández, 1993. "Transit Assignment for Congested Public Transport Systems: An Equilibrium Model," Transportation Science, INFORMS, vol. 27(2), pages 133-147, May.
    25. Ben-Ayed, Omar & Boyce, David E. & Blair, Charles E., 1988. "A general bilevel linear programming formulation of the network design problem," Transportation Research Part B: Methodological, Elsevier, vol. 22(4), pages 311-318, August.
    26. Li, Zhi-Chun & Lam, William H.K. & Wong, S.C. & Sumalee, A., 2012. "Design of a rail transit line for profit maximization in a linear transportation corridor," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(1), pages 50-70.
    27. Steven I.-J. Y. Chien & Chuck F. M. Tsai, 2007. "Optimization of Fare Structure and Service Frequency for Maximum Profitability of Transit Systems," Transportation Planning and Technology, Taylor & Francis Journals, vol. 30(5), pages 477-500, July.
    28. Daskin, Mark S. & Schofer, Joseph L. & Haghani, Ali E., 1988. "A quadratic programming model for designing and evaluating distance-based and zone fares for urban transit," Transportation Research Part B: Methodological, Elsevier, vol. 22(1), pages 25-44, February.
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