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Pareto-Improving and Self-Sustainable Pricing for the Morning Commute with Nonidentical Commuters

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  • Feng Xiao

    (School of Transportation and Logistics, Southwest Jiaotong University, Chengdu, Sichuan 610031, China)

  • H. M. Zhang

    (Department of Civil and Environmental Engineering, University of California, Davis, Davis, California 95616; and School of Transportation Engineering, Tongji University, Shanghai 200092, China)

Abstract

Congestion pricing, one of the effective tools to reduce congestion in a transportation network, may cause inequity among commuters if the differences in their value of time (VOT) are not properly taken into account. In this paper, we develop a bimodal competition model within the context of nonidentical commuters and departure time choice to study toll design, mode share, and benefit distribution problems. We first show that for a single bottleneck without schedule-late delay, commuters pass the bottleneck in increasing order of VOT under an optimal dynamic toll, and the optimal toll curve is strictly increasing and convex. Equipped with this result, we then derive the corresponding toll patterns, departure profiles, mode share, and user benefits in the morning commute under congestion tolls. We find that a queue-eliminating dynamic toll on the highway can drive the two-mode system to optimum, and it is Pareto improving. However, when a constant toll is used, commuters in the middle of the VOT distribution are possibly made worse off by the toll. By proposing a transit subsidy together with a toll charge on the highway, we obtain a core of feasible toll plus subsidy schemes that can simultaneously achieve three goals: driving the system toward optimum, benefiting every commuter, and financing itself without external investment. The results show that to be in this core, the toll charge can neither be too low nor too high.

Suggested Citation

  • Feng Xiao & H. M. Zhang, 2014. "Pareto-Improving and Self-Sustainable Pricing for the Morning Commute with Nonidentical Commuters," Transportation Science, INFORMS, vol. 48(2), pages 159-169, May.
    • Handle: RePEc:inm:ortrsc:v:48:y:2014:i:2:p:159-169
    DOI: 10.1287/trsc.1120.0450
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    References listed on IDEAS

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    1. Gordon F. Newell, 1987. "The Morning Commute for Nonidentical Travelers," Transportation Science, INFORMS, vol. 21(2), pages 74-88, May.
    2. Arnott Richard & Kraus Marvin, 1995. "Financing Capacity in the Bottleneck Model," Journal of Urban Economics, Elsevier, vol. 38(3), pages 272-290, November.
    3. Robert B. Dial, 1999. "Network-Optimized Road Pricing: Part II: Algorithms and Examples," Operations Research, INFORMS, vol. 47(2), pages 327-336, April.
    4. Robert B. Dial, 1999. "Network-Optimized Road Pricing: Part I: A Parable and a Model," Operations Research, INFORMS, vol. 47(1), pages 54-64, February.
    5. Huang, Hai-Jun, 2002. "Pricing and logit-based mode choice models of a transit and highway system with elastic demand," European Journal of Operational Research, Elsevier, vol. 140(3), pages 562-570, August.
    6. Hau, Timothy D., 1992. "Economic fundamentals of road pricing : a diagrammatic analysis," Policy Research Working Paper Series 1070, The World Bank.
    7. Jin, Wen-Long, 2007. "A dynamical system model of the traffic assignment problem," Transportation Research Part B: Methodological, Elsevier, vol. 41(1), pages 32-48, January.
    8. Charles Raux & Stéphanie Souche, 2004. "The Acceptability of Urban Road Pricing: A Theoretical Analysis Applied to Experience in Lyon," Journal of Transport Economics and Policy, University of Bath, vol. 38(2), pages 191-215, May.
    9. Huang, Hai-Jun, 2000. "Fares and tolls in a competitive system with transit and highway: the case with two groups of commuters," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 36(4), pages 267-284, December.
    10. Leurent, Fabien, 1993. "Cost versus time equilibrium over a network," European Journal of Operational Research, Elsevier, vol. 71(2), pages 205-221, December.
    11. Yang Liu & Xiaolei Guo & Hai Yang, 2009. "Pareto-improving and revenue-neutral congestion pricing schemes in two-mode traffic networks," Netnomics, Springer, vol. 10(1), pages 123-140, April.
    12. Robert B. Dial, 1996. "Bicriterion Traffic Assignment: Basic Theory and Elementary Algorithms," Transportation Science, INFORMS, vol. 30(2), pages 93-111, May.
    13. G. E. Cantarella & E. Cascetta, 1995. "Dynamic Processes and Equilibrium in Transportation Networks: Towards a Unifying Theory," Transportation Science, INFORMS, vol. 29(4), pages 305-329, November.
    14. Tabuchi Takatoshi, 1993. "Bottleneck Congestion and Modal Split," Journal of Urban Economics, Elsevier, vol. 34(3), pages 414-431, November.
    15. Dial, Robert B., 1997. "Bicriterion traffic assignment: Efficient algorithms plus examples," Transportation Research Part B: Methodological, Elsevier, vol. 31(5), pages 357-379, October.
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    Cited by:

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    3. 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.
    4. Long, Jiancheng & Tan, Weimin & Szeto, W.Y. & Li, Yao, 2018. "Ride-sharing with travel time uncertainty," Transportation Research Part B: Methodological, Elsevier, vol. 118(C), pages 143-171.
    5. Li, Yanan & Li, Xiang & Zhang, Sicheng, 2021. "Optimal pricing of customized bus services and ride-sharing based on a competitive game model," Omega, Elsevier, vol. 103(C).
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    7. Zhong, Shaopeng & Jiang, Yu & Nielsen, Otto Anker, 2022. "Lexicographic multi-objective road pricing optimization considering land use and transportation effects," European Journal of Operational Research, Elsevier, vol. 298(2), pages 496-509.
    8. Ding, Hongxing & Yang, Hai & Qin, Xiaoran & Xu, Hongli, 2023. "Credit charge-cum-reward scheme for green multi-modal mobility," Transportation Research Part B: Methodological, Elsevier, vol. 178(C).
    9. André de Palma & Zhi-Chun Li & De-Ping Yu, 2023. "An analytical model for residential location choices of heterogeneous households in a monocentric city with stochastic bottleneck congestion," THEMA Working Papers 2023-01, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
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