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A Multiclass Simultaneous Transportation Equilibrium Model

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  • Mohamad Hasan
  • Hussain Dashti

Abstract

Single class travel forecasting models assume that all travelers are similar in their travel-decision characteristics, such as their money-value of the time and their sensitivity to travel times in choosing their origin, destination and mode of travel, etc. To obtain more realistic models, travelers are often divided into classes, either by socio-economic attributes (e.g., income level, car availability, etc.) or by the purpose (e.g., home-based-work, non-home-based-work, home-based-shopping, etc.) of their travel, assuming that travel-decision characteristics are the same within each class, but differ among classes. However, the development of this concept of multiple classes increases the mathematical complexity of travel forecasting models. All the existing multiclass combined models consider the trip generation step of transportation planning process is exogenous to the combined prediction process. In this paper we enhance the Simultaneous Transportation Equilibrium Model (STEM) that developed by Safwat and Magnanti in 1988, and explicitly combined trip generation step, to be a multiclass model in terms of socio-economic group, trip purpose, pure and combined transportation modes, as well as departure time, all interacting over a physically unique multimodal network. The developed Multiclass Simultaneous Transportation Equilibrium Model (MSTEM) is formulated as a Variational Inequality problem and a diagonalization algorithm is proposed to solve it. Copyright Springer Science+Business Media, LLC 2007

Suggested Citation

  • Mohamad Hasan & Hussain Dashti, 2007. "A Multiclass Simultaneous Transportation Equilibrium Model," Networks and Spatial Economics, Springer, vol. 7(3), pages 197-211, September.
    • Handle: RePEc:kap:netspa:v:7:y:2007:i:3:p:197-211
    DOI: 10.1007/s11067-006-9014-3
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    References listed on IDEAS

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    1. Bar-Gera, Hillel & Boyce, David, 2003. "Origin-based algorithms for combined travel forecasting models," Transportation Research Part B: Methodological, Elsevier, vol. 37(5), pages 405-422, June.
    2. 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.
    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. Friesz, Terry L., 1981. "An equivalent optimization problem for combined multiclass distribution, assignment and modal split which obviates symmetry restrictions," Transportation Research Part B: Methodological, Elsevier, vol. 15(5), pages 361-369, October.
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    Cited by:

    1. Agnivesh Pani & Prasanta K. Sahu & Furqan A. Bhat, 2021. "Assessing the Spatial Transferability of Freight (Trip) Generation Models across and within States of India: Empirical Evidence and Implications for Benefit Transfer," Networks and Spatial Economics, Springer, vol. 21(2), pages 465-493, June.
    2. Zhou, Zhong & Chen, Anthony & Wong, S.C., 2009. "Alternative formulations of a combined trip generation, trip distribution, modal split, and trip assignment model," European Journal of Operational Research, Elsevier, vol. 198(1), pages 129-138, October.
    3. Juan Gabriel Brida & Juan Carlos Martín & Concepción Román & Raffaele Scuderi, 2017. "Air and HST Multimodal Products. A Segmentation Analysis for Policy Makers," Networks and Spatial Economics, Springer, vol. 17(3), pages 911-934, September.
    4. 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.
    5. Louis Grange & Felipe González & Ignacio Vargas & Rodrigo Troncoso, 2015. "A Logit Model With Endogenous Explanatory Variables and Network Externalities," Networks and Spatial Economics, Springer, vol. 15(1), pages 89-116, March.
    6. Seungkyu Ryu & Anthony Chen & Xiangdong Xu & Keechoo Choi, 2014. "A Dual Approach for Solving the Combined Distribution and Assignment Problem with Link Capacity Constraints," Networks and Spatial Economics, Springer, vol. 14(2), pages 245-270, June.
    7. 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.
    8. Dali Wei & Changwei Yuan & Hongchao Liu & Dayong Wu & Wesley Kumfer, 2017. "The Impact of Service Refusal to the Supply–Demand Equilibrium in the Taxicab Market," Networks and Spatial Economics, Springer, vol. 17(1), pages 225-253, March.
    9. Louis Grange & Felipe González & Juan Muñoz & Sebastián Raveau, 2014. "An Improved Stirling Approximation for Trip Distribution Models," Networks and Spatial Economics, Springer, vol. 14(3), pages 531-548, December.

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