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Optimal joint distance and time toll for cordon-based congestion pricing

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  • Liu, Zhiyuan
  • Wang, Shuaian
  • Meng, Qiang

Abstract

This paper addresses the optimal toll design problem for the cordon-based congestion pricing scheme, where both a time-toll and a nonlinear distance-toll (i.e., joint distance and time toll) are levied for each network user’s trip in a pricing cordon. The users’ route choice behaviour is assumed to follow the Logit-based stochastic user equilibrium (SUE). We first propose a link-based convex programming model for the Logit-based SUE problem with a joint distance and time toll pattern. A mathematical program with equilibrium constraints (MPEC) is developed to formulate the optimal joint distance and time toll design problem. The developed MPEC model is equivalently transformed into a semi-infinite programming (SIP) model. A global optimization method named Incremental Constraint Method (ICM) is designed for solving the SIP model. Finally, two numerical examples are used to assess the proposed methodology.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:transb:v:69:y:2014:i:c:p:81-97
    DOI: 10.1016/j.trb.2014.08.005
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    11. Chen, Zhi & Wu, Wen-Xiang & Huang, Hai-Jun & Shang, Hua-Yan, 2022. "Modeling traffic dynamics in periphery-downtown urban networks combining Vickrey's theory with Macroscopic Fundamental Diagram: user equilibrium, system optimum, and cordon pricing," Transportation Research Part B: Methodological, Elsevier, vol. 155(C), pages 278-303.
    12. Li, Zhi-Chun & Cheng, Li & de Palma, André, 2024. "Ring road investment, cordon tolling, and urban spatial structure," Transportation Research Part B: Methodological, Elsevier, vol. 182(C).
    13. Qixiu Cheng & Jun Chen & Honggang Zhang & Zhiyuan Liu, 2021. "Optimal Congestion Pricing with Day-to-Day Evolutionary Flow Dynamics: A Mean–Variance Optimization Approach," Sustainability, MDPI, vol. 13(9), pages 1-15, April.
    14. Xijie Li & Ying Lv & Wei Sun & Li Zhou, 2019. "Cordon- or Link-Based Pricing: Environment-Oriented Toll Design Models Development and Application," Sustainability, MDPI, vol. 11(1), pages 1-16, January.
    15. David A. Hensher & Edward Wei & Wen Liu & Loan Ho & Chinh Ho, 2023. "Development of a practical aggregate spatial road freight modal demand model system for truck and commodity movements with an application of a distance-based charging regime," Transportation, Springer, vol. 50(3), pages 1031-1071, June.
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    17. Huo, Jinbiao & Liu, Zhiyuan & Chen, Jingxu & Cheng, Qixiu & Meng, Qiang, 2023. "Bayesian optimization for congestion pricing problems: A general framework and its instability," Transportation Research Part B: Methodological, Elsevier, vol. 169(C), pages 1-28.
    18. Zhi-Chun Li & Li Cheng & André de Palma, 2023. "Ring road investment, cordon tolling, and urban spatial structure: Formulation and a case study," THEMA Working Papers 2023-07, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.

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