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On the Combined Distribution-Assignment of Traffic

Author

Listed:
  • Michael Florian

    (Universtié de Montréal, Montréal, Québec, Canada)

  • Sang Nguyen

    (Universtié de Montréal, Montréal, Québec, Canada)

  • Jacques Ferland

    (Universtié de Montréal, Montréal, Québec, Canada)

Abstract

It has been remarked that in the practice of transportation planning the distribution and assignment computations are treated sequentially as independent problems, although ideally they should be solved simultaneously. A case has been made by many practitioners for repeating the distribution and assignment computations in order to obtain more consistent results. The purpose of this paper is to shed some light on the eventual results of sequentially solving the distribution and assignment problem. Our conclusion, based on rigorous arguments, is that such practice does not lead to valid results. Also, we develop an approach to solving the distribution and assignment problem simultaneously and relate it to other methods that were proposed for this problem. A numerical example illustrates the conclusions drawn.

Suggested Citation

  • Michael Florian & Sang Nguyen & Jacques Ferland, 1975. "On the Combined Distribution-Assignment of Traffic," Transportation Science, INFORMS, vol. 9(1), pages 43-53, February.
    • Handle: RePEc:inm:ortrsc:v:9:y:1975:i:1:p:43-53
    DOI: 10.1287/trsc.9.1.43
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    Citations

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    Cited by:

    1. Boyce, David, 2007. "Future research on urban transportation network modeling," Regional Science and Urban Economics, Elsevier, vol. 37(4), pages 472-481, July.
    2. Chen, Anthony & Choi, Keechoo, 2017. "Solving the combined modal split and traffic assignment problem with two types of transit impedance functionAuthor-Name: Ryu, Seungkyu," European Journal of Operational Research, Elsevier, vol. 257(3), pages 870-880.
    3. Kitthamkesorn, Songyot & Chen, Anthony, 2017. "Alternate weibit-based model for assessing green transport systems with combined mode and route travel choices," Transportation Research Part B: Methodological, Elsevier, vol. 103(C), pages 291-310.
    4. 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.
    5. 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.
    6. Fan, Yinchao & Ding, Jianxun & Long, Jiancheng & Wu, Jianjun, 2024. "Modeling and evaluating the travel behaviour in multimodal networks: A path-based unified equilibrium model and a tailored greedy solution algorithm," Transportation Research Part A: Policy and Practice, Elsevier, vol. 182(C).
    7. David Levinson & Ajay Kumar, 1994. "Integrating Feedback into the Transportation Planning Mode," Working Papers 199404, University of Minnesota: Nexus Research Group.
    8. 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.
    9. Jingni Song & Feng Chen & Qunqi Wu & Weiyu Liu & Feiyang Xue & Kai Du, 2019. "Optimization of Passenger Transportation Corridor Mode Supply Structure in Regional Comprehensive Transport Considering Economic Equilibrium," Sustainability, MDPI, vol. 11(4), pages 1-18, February.
    10. Lam, William H. K. & Tam, M. L., 1997. "Why standard modelling and evaluation procedures are inadequate for assessing traffic congestion measures," Transport Policy, Elsevier, vol. 4(4), pages 217-223, October.
    11. Hailiang Xiao & Jianzhi Gao & Zhiyun Zou, 2017. "Reserve capacity model based on variable demand for land-use development control," Transportation Planning and Technology, Taylor & Francis Journals, vol. 40(2), pages 199-212, February.
    12. Fan, Yinchao & Ding, Jianxun & Liu, Haoxiang & Wang, Yu & Long, Jiancheng, 2022. "Large-scale multimodal transportation network models and algorithms-Part I: The combined mode split and traffic assignment problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 164(C).
    13. Ampol Karoonsoontawong & Dung-Ying Lin, 2015. "Combined Gravity Model Trip Distribution and Paired Combinatorial Logit Stochastic User Equilibrium Problem," Networks and Spatial Economics, Springer, vol. 15(4), pages 1011-1048, December.
    14. Los, M., 1978. "Combined Residential Location and Transportation Models," Cahiers de recherche 7802, Universite de Montreal, Departement de sciences economiques.
    15. 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.
    16. 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.

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