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The multi-class, multi-criterion traffic equilibrium and the efficiency of congestion pricing

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  • Han, Deren
  • Yang, Hai

Abstract

We consider the effect of the so-called second-best tolls on the price of anarchy of the traffic equilibrium problem where there are multiple classes of users with a discrete set of values of time. We derive several bounds of the price of anarchy for this problem when the tolls are considered and not considered as part of the system cost, with the time-based criterion and the cost-based criterion, respectively. All the bounds give us useful information on the effect of the tolls, which can be used to design network toll schemes.

Suggested Citation

  • Han, Deren & Yang, Hai, 2008. "The multi-class, multi-criterion traffic equilibrium and the efficiency of congestion pricing," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 44(5), pages 753-773, September.
    • Handle: RePEc:eee:transe:v:44:y:2008:i:5:p:753-773
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    Citations

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    Cited by:

    1. Hai-Jun Huang & Tian-Liang Liu & Xiaolei Guo & Hai Yang, 2011. "Inefficiency of Logit-Based Stochastic User Equilibrium in a Traffic Network Under ATIS," Networks and Spatial Economics, Springer, vol. 11(2), pages 255-269, June.
    2. Haoning Xi & Liu He & Yi Zhang & Zhen Wang, 2020. "Bounding the efficiency gain of differentiable road pricing for EVs and GVs to manage congestion and emissions," PLOS ONE, Public Library of Science, vol. 15(7), pages 1-36, July.
    3. Guo, Xiaolei & Yang, Hai & Liu, Tian-Liang, 2010. "Bounding the inefficiency of logit-based stochastic user equilibrium," European Journal of Operational Research, Elsevier, vol. 201(2), pages 463-469, March.
    4. Wang, Guangchao & Jia, Ning & Ma, Shoufeng & Qi, Hang, 2014. "A rank-dependent bi-criterion equilibrium model for stochastic transportation environment," European Journal of Operational Research, Elsevier, vol. 235(3), pages 511-529.
    5. Anny B. Wang & W. Y. Szeto, 2020. "Bounding the Inefficiency of the Reliability-Based Continuous Network Design Problem Under Cost Recovery," Networks and Spatial Economics, Springer, vol. 20(2), pages 395-422, June.
    6. Hooram Halat & Ali Zockaie & Hani S. Mahmassani & Xiang Xu & Omer Verbas, 2016. "Dynamic network equilibrium for daily activity-trip chains of heterogeneous travelers: application to large-scale networks," Transportation, Springer, vol. 43(6), pages 1041-1059, November.
    7. 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.
    8. O'Hare, Steven J. & Connors, Richard D. & Watling, David P., 2016. "Mechanisms that govern how the Price of Anarchy varies with travel demand," Transportation Research Part B: Methodological, Elsevier, vol. 84(C), pages 55-80.
    9. Wu, Wen-Xiang & Huang, Hai-Jun, 2014. "Finding anonymous tolls to realize target flow pattern in networks with continuously distributed value of time," Transportation Research Part B: Methodological, Elsevier, vol. 65(C), pages 31-46.
    10. O’Neill, Sam & Bagdasar, Ovidiu & Berry, Stuart & Popovici, Nicolae & Raja, Ramachandran, 2022. "Modelling equilibrium for a multi-criteria selfish routing network equilibrium flow problem," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 201(C), pages 658-669.
    11. Ye, Yu-Sen & Ma, Zu-Jun & Dai, Ying, 2016. "The price of anarchy in competitive reverse supply chains with quality-dependent price-only contracts," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 89(C), pages 86-107.

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