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On Binary Mode Choice/Assignment Models

Author

Listed:
  • Michael Florian

    (Université de Montréal, Montréal, Quebec)

  • Heinz Spiess

    (Université de Montréal, Montréal, Quebec)

Abstract

We consider the two mode equilibrium road and transit assignment model which incorporates a zonal aggregate mode choice model. We reformulate this special structure network equilibrium model as a variational inequality and demonstrate that the origin to destination demands and travel costs, link flows and link travel costs are unique when appropriate sufficient conditions are satisfied. Then we demonstrate the existence of equivalent optimization formulations of special versions of this problem and study sufficient conditions for the convergence of diagonalization methods that are used to obtain solutions for this model.

Suggested Citation

  • Michael Florian & Heinz Spiess, 1983. "On Binary Mode Choice/Assignment Models," Transportation Science, INFORMS, vol. 17(1), pages 32-47, February.
    • Handle: RePEc:inm:ortrsc:v:17:y:1983:i:1:p:32-47
    DOI: 10.1287/trsc.17.1.32
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    Cited by:

    1. Ren, Hualing & Song, Yingjie & Long, Jiancheng & Si, Bingfeng, 2021. "A new transit assignment model based on line and node strategies," Transportation Research Part B: Methodological, Elsevier, vol. 150(C), pages 121-142.
    2. C Fisk, 1984. "A Nonlinear Equation Framework for Solving Network Equilibrium Problems," Environment and Planning A, , vol. 16(1), pages 67-80, January.
    3. Laure Cabantous & Gilbert Laporte, 2015. "ASP, The Art and Science of Practice: Academia-Industry Interfacing in Operations Research in Montréal," Interfaces, INFORMS, vol. 45(6), pages 554-566, December.
    4. Tian, Qingyun & Wang, David Z.W. & Lin, Yun Hui, 2022. "Optimal deployment of autonomous buses into a transit service network," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 165(C).
    5. 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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