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Supernetwork Representation Formulation of a Multiclass Simultaneous Transportation Equilibrium Model as a Fixed Demand User Equilibrium Problem

Author

Listed:
  • Mohamad K. Hasan

    (Kuwait University, Kuwait)

  • Mohammad Saoud

    (Kuwait University, Kuwait)

  • Raed Al-Husain

    (Kuwait University, Kuwait)

Abstract

A multiclass simultaneous transportation equilibrium model (MSTEM) explicitly distinguishes between different user classes in terms of socioeconomic attributes, trip purpose, pure and combined transportation modes, as well as departure time, all interacting over a physically unique multimodal network. It enhances the prediction process behaviorally by combining the trip generation and departure time choices to trip distribution, modal split, and trip assignment choices in a unified and flexible framework that has many advantages from both supply and demand sides. However, the development of this concept of multiple classes increases the mathematical complexity of travel forecasting models. In this research, the authors reduce this mathematical complexity by using the supernetwork representation formulation of the diagonalized MSTEM as a fixed demand user equilibrium (FDUE) problem.

Suggested Citation

  • Mohamad K. Hasan & Mohammad Saoud & Raed Al-Husain, 2021. "Supernetwork Representation Formulation of a Multiclass Simultaneous Transportation Equilibrium Model as a Fixed Demand User Equilibrium Problem," International Journal of Operations Research and Information Systems (IJORIS), IGI Global, vol. 12(3), pages 18-33, July.
    • Handle: RePEc:igg:joris0:v:12:y:2021:i:3:p:18-33
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    References listed on IDEAS

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    1. Yao, Jia & Chen, Anthony & Ryu, Seungkyu & Shi, Feng, 2014. "A general unconstrained optimization formulation for the combined distribution and assignment problem," Transportation Research Part B: Methodological, Elsevier, vol. 59(C), pages 137-160.
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    3. Florian, Michael & Spiess, Heinz, 1982. "The convergence of diagonalization algorithms for asymmetric network equilibrium problems," Transportation Research Part B: Methodological, Elsevier, vol. 16(6), pages 477-483, December.
    4. Mohamad Hasan & Hussain Dashti, 2007. "A Multiclass Simultaneous Transportation Equilibrium Model," Networks and Spatial Economics, Springer, vol. 7(3), pages 197-211, September.
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