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Joint road toll pricing and capacity development in discrete transport network design problem

Author

Listed:
  • Meng Xu

    (Beijing Jiaotong University)

  • Guangmin Wang

    (China University of Geosciences)

  • Susan Grant-Muller

    (University of Leeds)

  • Ziyou Gao

    (Beijing Jiaotong University)

Abstract

The paper demonstrates a method to determine road network improvements that also involve the use of a road toll charge, taking the perspective of the government or authority. A general discrete network design problem with a road toll pricing scheme, to minimize the total travel time under a budget constraint, is proposed. This approach is taken in order to determine the appropriate level of road toll pricing whilst simultaneously addressing the need for capacity. The proposed approach is formulated as a bi-level programming problem. The optimal road capacity improvement and toll level scheme is investigated with respect to the available budget levels and toll revenues.

Suggested Citation

  • Meng Xu & Guangmin Wang & Susan Grant-Muller & Ziyou Gao, 2017. "Joint road toll pricing and capacity development in discrete transport network design problem," Transportation, Springer, vol. 44(4), pages 731-752, July.
    • Handle: RePEc:kap:transp:v:44:y:2017:i:4:d:10.1007_s11116-015-9674-2
    DOI: 10.1007/s11116-015-9674-2
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    as
    1. Tan, Zhijia & Yang, Hai & Guo, Xiaolei, 2010. "Properties of Pareto-efficient contracts and regulations for road franchising," Transportation Research Part B: Methodological, Elsevier, vol. 44(4), pages 415-433, May.
    2. Loukas Dimitriou & Theodore Tsekeris & Antony Stathopoulos, 2009. "Joint pricing and design of urban highways with spatial and user group heterogeneity," Netnomics, Springer, vol. 10(1), pages 141-160, April.
    3. Yang, Hai & Xu, Wei & Heydecker, Benjamin, 2010. "Bounding the efficiency of road pricing," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 46(1), pages 90-108, January.
    4. Susan Grant-Muller & Meng Xu, 2014. "The Role of Tradable Credit Schemes in Road Traffic Congestion Management," Transport Reviews, Taylor & Francis Journals, vol. 34(2), pages 128-149, March.
    5. Tan, Zhijia & Yang, Hai, 2012. "Flexible build-operate-transfer contracts for road franchising under demand uncertainty," Transportation Research Part B: Methodological, Elsevier, vol. 46(10), pages 1419-1439.
    6. May, Anthony D. & Kelly, Charlotte & Shepherd, Simon, 2006. "The principles of integration in urban transport strategies," Transport Policy, Elsevier, vol. 13(4), pages 319-327, July.
    7. Yang, Hai & Meng, Qiang, 2000. "Highway pricing and capacity choice in a road network under a build-operate-transfer scheme," Transportation Research Part A: Policy and Practice, Elsevier, vol. 34(3), pages 207-222, April.
    8. 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.
    9. Gui-Hua Lin & Masao Fukushima, 2005. "A Modified Relaxation Scheme for Mathematical Programs with Complementarity Constraints," Annals of Operations Research, Springer, vol. 133(1), pages 63-84, January.
    10. Adler, Nicole & Proost, Stef, 2010. "Introduction to special issue of Transportation Research Part B Modelling non-urban transport investment and pricing," Transportation Research Part B: Methodological, Elsevier, vol. 44(7), pages 791-794, August.
    11. Boyce, D. E. & Janson, B. N., 1980. "A discrete transportation network design problem with combined trip distribution and assignment," Transportation Research Part B: Methodological, Elsevier, vol. 14(1-2), pages 147-154.
    12. Alexander Mitsos, 2010. "Global solution of nonlinear mixed-integer bilevel programs," Journal of Global Optimization, Springer, vol. 47(4), pages 557-582, August.
    13. 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.
    14. Meng Xu & Ziyou Gao, 2009. "Multi-class Multi-modal Network Equilibrium with Regular Choice Behaviors: A General Fixed Point Approach," Springer Books, in: William H. K. Lam & S. C. Wong & Hong K. Lo (ed.), Transportation and Traffic Theory 2009: Golden Jubilee, chapter 0, pages 301-325, Springer.
    15. Holger Scheel & Stefan Scholtes, 2000. "Mathematical Programs with Complementarity Constraints: Stationarity, Optimality, and Sensitivity," Mathematics of Operations Research, INFORMS, vol. 25(1), pages 1-22, February.
    16. Wang, Shuaian & Meng, Qiang & Yang, Hai, 2013. "Global optimization methods for the discrete network design problem," Transportation Research Part B: Methodological, Elsevier, vol. 50(C), pages 42-60.
    17. Niu, Baozhuang & Zhang, Jie, 2013. "Price, capacity and concession period decisions of Pareto-efficient BOT contracts with demand uncertainty," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 53(C), pages 1-14.
    18. Andrew Koh & Simon Shepherd & Agachai Sumalee, 2009. "Second best toll and capacity optimisation in networks: solution algorithm and policy implications," Transportation, Springer, vol. 36(2), pages 147-165, March.
    19. Kelly, Charlotte & May, Anthony D. & Jopson, Ann, 2008. "The development of an option generation tool to identify potential transport policy packages," Transport Policy, Elsevier, vol. 15(6), pages 361-371, November.
    20. 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.
    21. Larry J. Leblanc, 1975. "An Algorithm for the Discrete Network Design Problem," Transportation Science, INFORMS, vol. 9(3), pages 183-199, August.
    22. Farvaresh, Hamid & Sepehri, Mohammad Mehdi, 2011. "A single-level mixed integer linear formulation for a bi-level discrete network design problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 47(5), pages 623-640, September.
    23. Keeler, Theodore E & Small, Kenneth A, 1977. "Optimal Peak-Load Pricing, Investment, and Service Levels on Urban Expressways," Journal of Political Economy, University of Chicago Press, vol. 85(1), pages 1-25, February.
    24. Verhoef, Erik T. & Koh, Andrew & Shepherd, Simon, 2010. "Pricing, capacity and long-run cost functions for first-best and second-best network problems," Transportation Research Part B: Methodological, Elsevier, vol. 44(7), pages 870-885, August.
    25. Shepherd, S.P. & Zhang, X. & Emberger, G. & Hudson, M. & May, A.D. & Paulley, N., 2006. "Designing optimal urban transport strategies: The role of individual policy instruments and the impact of financial constraints," Transport Policy, Elsevier, vol. 13(1), pages 49-65, January.
    26. Moshe Givoni & James Macmillen & David Banister & Eran Feitelson, 2013. "From Policy Measures to Policy Packages," Transport Reviews, Taylor & Francis Journals, vol. 33(1), pages 1-20, January.
    27. Gemayqzel Bouza & Georg Still, 2007. "Mathematical Programs with Complementarity Constraints: Convergence Properties of a Smoothing Method," Mathematics of Operations Research, INFORMS, vol. 32(2), pages 467-483, May.
    28. Allan P. O. Williams, 2006. "Impact of Strategies," Palgrave Macmillan Books, in: The Rise of Cass Business School, chapter 13, pages 167-181, Palgrave Macmillan.
    29. James T. Moore & Jonathan F. Bard, 1990. "The Mixed Integer Linear Bilevel Programming Problem," Operations Research, INFORMS, vol. 38(5), pages 911-921, October.
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