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Equilibria and Inefficiency in Traffic Networks with Stochastic Capacity and Information Provision

In: Transportation and Traffic Theory 2009: Golden Jubilee

Author

Listed:
  • Tian-Liang Liu

    (Beijing University of Aeronautics and Astronautics)

  • Hai-Jun Huang

    (Beijing University of Aeronautics and Astronautics)

  • Hai Yang

    (The Hong Kong University of Science and Technology)

  • Xiaolei Guo

    (The Hong Kong University of Science and Technology)

Abstract

In this paper, we study the inefficiencies of various behavior equilibria in traffic networks with stochastic capacity and information provision. Variational inequality models are presented to formulate the travel behaviors associated with user equilibrium (UE) with imperfect information, system optimum (SO) with imperfect information and system optimum with perfect information, respectively. The tight upper bounds of inefficiencies caused by UE selfish behavior with imperfect information are analytically discussed in detail. It is found that when link travel time functions are all polynomial, the worst-case inefficiencies against the SOs with imperfect or perfect information are dependent upon the steepness degree of link time functions and independent of the network topology. The upper bound of inefficiency against the SO with perfect information is yet dependent upon the degradation degree and occurring probability density of link capacity. Furthermore, it is also found that perfect information can always improve the traffic network performance whilst imperfect information has the same worst-case efficiency as zero information.

Suggested Citation

  • Tian-Liang Liu & Hai-Jun Huang & Hai Yang & Xiaolei Guo, 2009. "Equilibria and Inefficiency in Traffic Networks with Stochastic Capacity and Information Provision," Springer Books, in: William H. K. Lam & S. C. Wong & Hong K. Lo (ed.), Transportation and Traffic Theory 2009: Golden Jubilee, chapter 0, pages 263-281, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4419-0820-9_13
    DOI: 10.1007/978-1-4419-0820-9_13
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    Citations

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    Cited by:

    1. Liu, Tian-Liang & Chen, Jian & Huang, Hai-Jun, 2011. "Existence and efficiency of oligopoly equilibrium under toll and capacity competition," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 47(6), pages 908-919.
    2. Lindsey, Robin & Daniel, Terry & Gisches, Eyran & Rapoport, Amnon, 2014. "Pre-trip information and route-choice decisions with stochastic travel conditions: Theory," Transportation Research Part B: Methodological, Elsevier, vol. 67(C), pages 187-207.
    3. 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.

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