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Modeling private highways in networks with entry-exit based toll charges

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  • Yang, Hai
  • Zhang, Xiaoning
  • Meng, Qiang

Abstract

Previous studies on private highways generally involve network equilibrium models with link-specific and hence link-additive toll charges. In reality, toll charges for private highways depend on the entry and exit points, which are not always link-additive. This study formulates and solves the optimal toll design problem of private highways with entry-exit based toll charges using a bi-level programming approach. The lower-level traffic equilibrium problem with entry-exit based toll charges is still formulated as an optimization problem and the Frank-Wolfe algorithm is adapted for finding its solution, where the descent direction-finding sub-problem (all-or-nothing traffic assignment) is solved via a simple network transformation. The proposed method circumvents the difficulty of path enumeration or generation frequently involved in general non-additive traffic assignment problems and, hence, has the potentials to efficiently solve large network problems. Following an exploration of the properties of the lower-level traffic equilibrium sub-problem, the bi-level optimal toll design problem is solved by a recently developed efficient marginal function approach.

Suggested Citation

  • Yang, Hai & Zhang, Xiaoning & Meng, Qiang, 2004. "Modeling private highways in networks with entry-exit based toll charges," Transportation Research Part B: Methodological, Elsevier, vol. 38(3), pages 191-213, March.
  • Handle: RePEc:eee:transb:v:38:y:2004:i:3:p:191-213
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    References listed on IDEAS

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    Cited by:

    1. 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.
    2. Li, Changmin & Yang, Hai & Zhu, Daoli & Meng, Qiang, 2012. "A global optimization method for continuous network design problems," Transportation Research Part B: Methodological, Elsevier, vol. 46(9), pages 1144-1158.
    3. 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.
    4. François Gilbert & Patrice Marcotte & Gilles Savard, 2014. "Mixed-logit network pricing," Computational Optimization and Applications, Springer, vol. 57(1), pages 105-127, January.
    5. (Jeff) Ban, Xuegang & Ferris, Michael C. & Tang, Lisa & Lu, Shu, 2013. "Risk-neutral second best toll pricing," Transportation Research Part B: Methodological, Elsevier, vol. 48(C), pages 67-87.
    6. 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.
    7. André de Palma & Robin Lindsey & Fang Wu, 2008. "Private Operators and Time-of-Day Tolling on a Congested Road Network," Journal of Transport Economics and Policy, University of Bath, vol. 42(3), pages 397-433, September.
    8. Yang, Hai & Zhang, Xiaoning & Meng, Qiang, 2007. "Stackelberg games and multiple equilibrium behaviors on networks," Transportation Research Part B: Methodological, Elsevier, vol. 41(8), pages 841-861, October.
    9. repec:eee:transb:v:102:y:2017:i:c:p:105-123 is not listed on IDEAS

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