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Formulation and Estimation of Combined Network Equilibrium Models with Applications to Stockholm

Author

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  • T. Abrahamsson

    (Department of Infrastructure and Planning, Royal Institute of Technology, S-100 44 Stockholm, Sweden)

  • L. Lundqvist

    (Department of Infrastructure and Planning, Royal Institute of Technology, S-100 44 Stockholm, Sweden)

Abstract

Combined network equilibrium models of trip distribution, modal split, and route choice are formulated and estimated for the Stockholm region. These models take into account the feedback effects among three stages of the classical four-step model. A simultaneous structure of the mode and destination choices is studied together with nested combined models reflecting conditional choice probabilities. In the traditional combined model, mode choice is assumed conditional on destination choice. The reverse combined model, in contrast, considers destination choice conditional on mode choice. User-optimal traffic assignment is integrated with these approaches to modeling travel demand in network equilibrium models. The three combined models are estimated using the full-information maximum likelihood technique implying that all preference parameters are estimated simultaneously. The models are estimated on medium-size travel and network data for the Stockholm region in 1986. The results suggest a rejection of the traditional nested model because of incorrect relative values of the estimated cost-sensitivity parameters. The reverse nested model is preferred, even if the overall goodness-of-fit is better for the traditional nested model. An application to a future scenario for the year 2020 is included.

Suggested Citation

  • 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.
  • Handle: RePEc:inm:ortrsc:v:33:y:1999:i:1:p:80-100
    DOI: 10.1287/trsc.33.1.80
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    References listed on IDEAS

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    1. Caroline S. Fisk, 1986. "A Conceptual Framework for Optimal Transportation Systems Planning with Integrated Supply and Demand Models," Transportation Science, INFORMS, vol. 20(1), pages 37-47, February.
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    Cited by:

    1. Justin Siegel & Joaquín Cea & José Fernández & Renán Rodriguez & David Boyce, 2006. "Comparisons of Urban Travel Forecasts Prepared with the Sequential Procedure and a Combined Model," Networks and Spatial Economics, Springer, vol. 6(2), pages 135-148, June.
    2. de Grange, Louis & Troncoso, Rodrigo & Ibeas, Angel & González, Felipe, 2009. "Gravity model estimation with proxy variables and the impact of endogeneity on transportation planning," Transportation Research Part A: Policy and Practice, Elsevier, vol. 43(2), pages 105-116, February.
    3. Tu, Ningwen & Adiputranto, Dimas & Fu, Xiaowen & Li, Zhi-Chun, 2018. "Shipping network design in a growth market: The case of Indonesia," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 117(C), pages 108-125.
    4. Lam, William H.K. & Li, Zhi-Chun & Huang, Hai-Jun & Wong, S.C., 2006. "Modeling time-dependent travel choice problems in road networks with multiple user classes and multiple parking facilities," Transportation Research Part B: Methodological, Elsevier, vol. 40(5), pages 368-395, June.
    5. Thuy Linh Hoang & Muhammad Adnan & Anh Tuan Vu & Nguyen Hoang-Tung & Bruno Kochan & Tom Bellemans, 2022. "Modeling and Structuring of Activity Scheduling Choices with Consideration of Intrazonal Tours: A Case Study of Motorcycle-Based Cities," Sustainability, MDPI, vol. 14(10), pages 1-23, May.
    6. 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.
    7. Cantarella, Giulio Erberto & Cartenì, Armando & de Luca, Stefano, 2015. "Stochastic equilibrium assignment with variable demand: Theoretical and implementation issues," European Journal of Operational Research, Elsevier, vol. 241(2), pages 330-347.
    8. García-Ródenas, Ricardo & Marín, Ángel, 2009. "Simultaneous estimation of the origin-destination matrices and the parameters of a nested logit model in a combined network equilibrium model," European Journal of Operational Research, Elsevier, vol. 197(1), pages 320-331, August.
    9. Joaquín De Cea & J. Enrique Fernández & Valérie Dekock & Alexandra Soto, 2004. "Solving network equilibrium problems on multimodal urban transportation networks with multiple user classes," Transport Reviews, Taylor & Francis Journals, vol. 25(3), pages 293-317, January.
    10. Ying, Jiang Qian & Yang, Hai, 2005. "Sensitivity analysis of stochastic user equilibrium flows in a bi-modal network with application to optimal pricing," Transportation Research Part B: Methodological, Elsevier, vol. 39(9), pages 769-795, November.
    11. Felipe González & Carlos Melo-Riquelme & Louis Grange, 2016. "A combined destination and route choice model for a bicycle sharing system," Transportation, Springer, vol. 43(3), pages 407-423, May.
    12. David Boyce, 2007. "Forecasting Travel on Congested Urban Transportation Networks: Review and Prospects for Network Equilibrium Models," Networks and Spatial Economics, Springer, vol. 7(2), pages 99-128, June.
    13. Jeffrey Newman & Vincent Bernardin, 2010. "Hierarchical ordering of nests in a joint mode and destination choice model," Transportation, Springer, vol. 37(4), pages 677-688, July.
    14. 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.
    15. Louis Grange & Angel Ibeas & Felipe González, 2011. "A Hierarchical Gravity Model with Spatial Correlation: Mathematical Formulation and Parameter Estimation," Networks and Spatial Economics, Springer, vol. 11(3), pages 439-463, September.

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