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Finding anonymous tolls to realize target flow pattern in networks with continuously distributed value of time

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  • Wu, Wen-Xiang
  • Huang, Hai-Jun

Abstract

Considering user heterogeneity in terms of a continuously distributed value of time, we investigate, on the base of so-called Wardrop’s third principle, the time-versus-cost network equilibrium and system optimum problem with fixed demand. To realize a target flow pattern through imposing anonymous path tolls, we propose a time difference-based pricing in which every user is charged a toll computed from the time difference between adjacent paths ordered in the decreasing order of travel times. We find that, whenever travel disutility is measured in cost or time units, the anonymous marginal cost pricing does not exist. We further show that, if and only if the coefficient matrix of a linear system corresponding to the derived optimal path toll pattern and its augmented matrix have the same rank, an anonymous link toll pattern exists.

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  • 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.
    • Handle: RePEc:eee:transb:v:65:y:2014:i:c:p:31-46
    DOI: 10.1016/j.trb.2014.04.003
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    1. Lam, Terence C. & Small, Kenneth A., 0. "The value of time and reliability: measurement from a value pricing experiment," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 37(2-3), pages 231-251, April.
    2. Tian, Li-Jun & Yang, Hai & Huang, Hai-Jun, 2013. "Tradable credit schemes for managing bottleneck congestion and modal split with heterogeneous users," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 54(C), pages 1-13.
    3. Brownstone, David & Small, Kenneth A., 2005. "Valuing time and reliability: assessing the evidence from road pricing demonstrations," Transportation Research Part A: Policy and Practice, Elsevier, vol. 39(4), pages 279-293, May.
    4. Small, Kenneth A., 2001. "The Value of Pricing," University of California Transportation Center, Working Papers qt0rm449sx, University of California Transportation Center.
    5. Robin Lindsey, 2004. "Existence, Uniqueness, and Trip Cost Function Properties of User Equilibrium in the Bottleneck Model with Multiple User Classes," Transportation Science, INFORMS, vol. 38(3), pages 293-314, August.
    6. (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.
    7. Small, Kenneth A. & Yan, Jia, 2001. "The Value of "Value Pricing" of Roads: Second-Best Pricing and Product Differentiation," Journal of Urban Economics, Elsevier, vol. 49(2), pages 310-336, March.
    8. 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.
    9. Nie, Yu (Marco) & Liu, Yang, 2010. "Existence of self-financing and Pareto-improving congestion pricing: Impact of value of time distribution," Transportation Research Part A: Policy and Practice, Elsevier, vol. 44(1), pages 39-51, January.
    10. Kenneth A. Small & Clifford Winston & Jia Yan, 2005. "Uncovering the Distribution of Motorists' Preferences for Travel Time and Reliability," Econometrica, Econometric Society, vol. 73(4), pages 1367-1382, July.
    11. Cirillo, C. & Axhausen, K.W., 2006. "Evidence on the distribution of values of travel time savings from a six-week diary," Transportation Research Part A: Policy and Practice, Elsevier, vol. 40(5), pages 444-457, June.
    12. 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.
    13. Ye, Hongbo & Yang, Hai, 2013. "Continuous price and flow dynamics of tradable mobility credits," Transportation Research Part B: Methodological, Elsevier, vol. 57(C), pages 436-450.
    14. van den Berg, Vincent & Verhoef, Erik T., 2011. "Congestion tolling in the bottleneck model with heterogeneous values of time," Transportation Research Part B: Methodological, Elsevier, vol. 45(1), pages 60-78, January.
    15. 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.
    16. Robert B. Dial, 1996. "Bicriterion Traffic Assignment: Basic Theory and Elementary Algorithms," Transportation Science, INFORMS, vol. 30(2), pages 93-111, May.
    17. Chen, Linxi & Yang, Hai, 2012. "Managing congestion and emissions in road networks with tolls and rebates," Transportation Research Part B: Methodological, Elsevier, vol. 46(8), pages 933-948.
    18. Leurent, Fabien, 1993. "Cost versus time equilibrium over a network," European Journal of Operational Research, Elsevier, vol. 71(2), pages 205-221, December.
    19. 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.
    20. Yang, Hai & Huang, Hai-Jun, 2004. "The multi-class, multi-criteria traffic network equilibrium and systems optimum problem," Transportation Research Part B: Methodological, Elsevier, vol. 38(1), pages 1-15, January.
    21. Erik T. Verhoef & Kenneth A. Small, 2004. "Product Differentiation on Roads," Journal of Transport Economics and Policy, University of Bath, vol. 38(1), pages 127-156, January.
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