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Travel Demand‐Based Assignment Model for Multimodal and Multiuser Transportation System

Author

Listed:
  • Bingfeng Si
  • Xuedong Yan
  • Hunjun Sun
  • Xiaobao Yang
  • Ziyou Gao

Abstract

In this paper, the structural characteristic of urban multimodal transport system is fully analyzed and then a two‐tier network structure is proposed to describe such a system, in which the first‐tier network is used to depict the traveller’s mode choice behaviour and the second‐tier network is used to depict the vehicle routing when a certain mode has been selected. Subsequently, the generalized travel cost is formulated considering the properties of both traveller and transport mode. A new link impedance function is proposed, in which the interferences between different vehicle flows are taken into account. Simultaneously, the bi‐equilibrium patterns for multimodal transport network are proposed by extending Wardrop principle. Correspondingly, a bi‐level programming model is then presented to describe the bi‐equilibrium based assignment for multi‐class multimodal transport network. The solution algorithm is also given. Finally, a numerical example is provided to illustrate the model and algorithm.

Suggested Citation

  • 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, John Wiley & Sons, vol. 2012(1).
  • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:592104
    DOI: 10.1155/2012/592104
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    References listed on IDEAS

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    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. 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.
    3. 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.
    4. Chaisak Suwansirikul & Terry L. Friesz & Roger L. Tobin, 1987. "Equilibrium Decomposed Optimization: A Heuristic for the Continuous Equilibrium Network Design Problem," Transportation Science, INFORMS, vol. 21(4), pages 254-263, November.
    5. Patriksson, Michael, 2008. "On the applicability and solution of bilevel optimization models in transportation science: A study on the existence, stability and computation of optimal solutions to stochastic mathematical programs with equilibrium constraints," Transportation Research Part B: Methodological, Elsevier, vol. 42(10), pages 843-860, December.
    6. 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.
    7. C. S. Fisk & D. E. Boyce, 1983. "Alternative Variational Inequality Formulations of the Network Equilibrium-Travel Choice Problem," Transportation Science, INFORMS, vol. 17(4), pages 454-463, November.
    8. Nagurney, Anna B., 1984. "Comparative tests of multimodal traffic equilibrium methods," Transportation Research Part B: Methodological, Elsevier, vol. 18(6), pages 469-485, December.
    9. Michael Florian & Heinz Spiess, 1983. "On Binary Mode Choice/Assignment Models," Transportation Science, INFORMS, vol. 17(1), pages 32-47, February.
    10. Roger L. Tobin & Terry L. Friesz, 1988. "Sensitivity Analysis for Equilibrium Network Flow," Transportation Science, INFORMS, vol. 22(4), pages 242-250, November.
    11. Ferrari, Paolo, 1999. "A model of urban transport management," Transportation Research Part B: Methodological, Elsevier, vol. 33(1), pages 43-61, February.
    12. LeBlanc, Larry J. & Boyce, David E., 1986. "A bilevel programming algorithm for exact solution of the network design problem with user-optimal flows," Transportation Research Part B: Methodological, Elsevier, vol. 20(3), pages 259-265, June.
    13. Clegg, Janet & Smith, Mike & Xiang, Yanling & Yarrow, Robert, 2001. "Bilevel programming applied to optimising urban transportation," Transportation Research Part B: Methodological, Elsevier, vol. 35(1), pages 41-70, January.
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