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A Practical Traffic Assignment Model for Multimodal Transport System Considering Low-Mobility Groups

Author

Listed:
  • Tao Zhang

    (School of Traffic and Logistics Engineering, Taiyuan University of Science and Technology, Taiyuan 030024, China)

  • Yang Yang

    (School of Traffic and Logistics Engineering, Taiyuan University of Science and Technology, Taiyuan 030024, China
    Jiangsu Key Laboratory of Urban ITS, Southeast University, Nanjing 210096, China)

  • Gang Cheng

    (College of Engineering, Tibet University, Lhasa 850000, China
    College of Transportation, Jilin University, Changchun 130000, China)

  • Minjie Jin

    (School of Traffic and Logistics Engineering, Taiyuan University of Science and Technology, Taiyuan 030024, China)

Abstract

In this study, we created a practical traffic assignment model for a multimodal transport system considering low-mobility groups with the aim of providing the foundation of transportation network design for low-mobility individuals. First, the route choice equilibrium for walking, non-vehicle, and private car modes is described using the logit function, which is formulated as a variational inequality problem considering different low-mobility groups. Then, the practicalities related to travel times at intersections, traffic barricades between different lanes, and fuel fees of private cars are integrated to design a generalized travel cost function. Last, the method of successive weight averages is used to solve the proposed model. The model and its solution are verified based on a real case study of the city of Wenling in China. The sensitivity of adjustment parameters related to travel costs are analyzed, the practicality of the proposed model is explored, and the results of traffic assignment for different low-mobility groups are discussed.

Suggested Citation

  • 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.
  • Handle: RePEc:gam:jmathe:v:8:y:2020:i:3:p:351-:d:328647
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    References listed on IDEAS

    as
    1. Nagurney, Anna & Dong, June, 2002. "A multiclass, multicriteria traffic network equilibrium model with elastic demand," Transportation Research Part B: Methodological, Elsevier, vol. 36(5), pages 445-469, June.
    2. Liu, Tian-Liang & Huang, Hai-Jun & Yang, Hai & Zhang, Xiaoning, 2009. "Continuum modeling of park-and-ride services in a linear monocentric city with deterministic mode choice," Transportation Research Part B: Methodological, Elsevier, vol. 43(6), pages 692-707, July.
    3. T. Abrahamsson & L. Lundqvist, 1999. "Formulation and Estimation of Combined Network Equilibrium Models with Applications to Stockholm," Transportation Science, INFORMS, vol. 33(1), pages 80-100, February.
    4. Michael Florian, 1977. "A Traffic Equilibrium Model of Travel by Car and Public Transit Modes," Transportation Science, INFORMS, vol. 11(2), pages 166-179, May.
    5. Enrique Fernandez & Joaquin de Cea & Michael Florian & Enrique Cabrera, 1994. "Network Equilibrium Models with Combined Modes," Transportation Science, INFORMS, vol. 28(3), pages 182-192, August.
    6. Bingfeng Si & Xuedong Yan & Hunjun Sun & Xiaobao Yang & Ziyou Gao, 2012. "Travel Demand-Based Assignment Model for Multimodal and Multiuser Transportation System," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-22, December.
    7. Lo, Hong K. & Yip, C. W. & Wan, K. H., 2003. "Modeling transfer and non-linear fare structure in multi-modal network," Transportation Research Part B: Methodological, Elsevier, vol. 37(2), pages 149-170, February.
    8. K. Nabil Ali Safwat & Thomas L. Magnanti, 1988. "A Combined Trip Generation, Trip Distribution, Modal Split, and Trip Assignment Model," Transportation Science, INFORMS, vol. 22(1), pages 14-30, February.
    9. Nagurney, Anna B., 1984. "Comparative tests of multimodal traffic equilibrium methods," Transportation Research Part B: Methodological, Elsevier, vol. 18(6), pages 469-485, December.
    10. Michael Florian & Heinz Spiess, 1983. "On Binary Mode Choice/Assignment Models," Transportation Science, INFORMS, vol. 17(1), pages 32-47, February.
    11. Dial, Robert B., 1979. "A model and algorithm for multicriteria route-mode choice," Transportation Research Part B: Methodological, Elsevier, vol. 13(4), pages 311-316, December.
    12. Ferrari, Paolo, 1999. "A model of urban transport management," Transportation Research Part B: Methodological, Elsevier, vol. 33(1), pages 43-61, February.
    13. Kenetsu Uchida & Agachai Sumalee & David Watling & Richard Connors, 2007. "A Study on Network Design Problems for Multi-modal Networks by Probit-based Stochastic User Equilibrium," Networks and Spatial Economics, Springer, vol. 7(3), pages 213-240, September.
    14. Wong, S. C., 1998. "Multi-commodity traffic assignment by continuum approximation of network flow with variable demand," Transportation Research Part B: Methodological, Elsevier, vol. 32(8), pages 567-581, November.
    15. Chen, Anthony & Choi, Keechoo, 2017. "Solving the combined modal split and traffic assignment problem with two types of transit impedance functionAuthor-Name: Ryu, Seungkyu," European Journal of Operational Research, Elsevier, vol. 257(3), pages 870-880.
    16. 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.
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    Cited by:

    1. Wei Huang & Yang Hu & Xuanyu Zhang, 2022. "Enhancing Model-Based Anticipatory Traffic Signal Control with Metamodeling and Adaptive Optimization," Mathematics, MDPI, vol. 10(15), pages 1-18, July.

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