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Multi-class Multi-modal Network Equilibrium with Regular Choice Behaviors: A General Fixed Point Approach

In: Transportation and Traffic Theory 2009: Golden Jubilee

Author

Listed:
  • Meng Xu

    (Beijing Jiaotong University)

  • Ziyou Gao

    (Beijing Jiaotong University)

Abstract

In this paper, we propose a new model for the multi-class multi-modal network equilibrium problem, which is a route utility based model, and transfer flows for combined modes are considered specially. The model is formulated as a general fixed point problem. The choice behaviors are assumed regular, which include the common features of deterministic and of continuous with continuous first derivatives additive probabilistic choice models. Users of different classes permit different choice behaviors (including routes, modes, and interchanges), as well as different sets of available routes, modes, and interchanges. Different choice models are explicitly considered; in addition, travel demand of the network can be dealt without using its inverse-unlike the mathematical programming, variational inequality, or complementarity formulations. Existence and uniqueness of the model are analyzed, which extend those conclusions in existed literature.

Suggested Citation

  • Meng Xu & Ziyou Gao, 2009. "Multi-class Multi-modal Network Equilibrium with Regular Choice Behaviors: A General Fixed Point Approach," Springer Books, in: William H. K. Lam & S. C. Wong & Hong K. Lo (ed.), Transportation and Traffic Theory 2009: Golden Jubilee, chapter 0, pages 301-325, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4419-0820-9_15
    DOI: 10.1007/978-1-4419-0820-9_15
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    Citations

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    Cited by:

    1. Xu, Meng & Grant-Muller, Susan, 2016. "Trip mode and travel pattern impacts of a Tradable Credits Scheme: A case study of Beijing," Transport Policy, Elsevier, vol. 47(C), pages 72-83.
    2. Meng Xu & Guangmin Wang & Susan Grant-Muller & Ziyou Gao, 2017. "Joint road toll pricing and capacity development in discrete transport network design problem," Transportation, Springer, vol. 44(4), pages 731-752, July.
    3. Tao Zhang & Yang Yang & Gang Cheng & Minjie Jin, 2020. "A Practical Traffic Assignment Model for Multimodal Transport System Considering Low-Mobility Groups," Mathematics, MDPI, vol. 8(3), pages 1-19, March.

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