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A Method for Computing Network Equilibrium with Elastic Demands

Author

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  • Michael Florian

    (Université de Montréal, Montréal, Québec, Canada)

  • Sang Nguyen

    (Université de Montréal, Montréal, Québec, Canada)

Abstract

We present a new method for computing the equilibrium flows in a transportation network with elastic demands and congestion effects for a single class of users. The method that we develop in the following results from the combination of a fixed demand assignment method and an application of Generalized Benders Decomposition. We give computational results obtained with the algorithm.

Suggested Citation

  • Michael Florian & Sang Nguyen, 1974. "A Method for Computing Network Equilibrium with Elastic Demands," Transportation Science, INFORMS, vol. 8(4), pages 321-332, November.
    • Handle: RePEc:inm:ortrsc:v:8:y:1974:i:4:p:321-332
    DOI: 10.1287/trsc.8.4.321
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    Cited by:

    1. Frédéric Babonneau & Jean-Philippe Vial, 2008. "An Efficient Method to Compute Traffic Assignment Problems with Elastic Demands," Transportation Science, INFORMS, vol. 42(2), pages 249-260, May.
    2. Lu, Chung-Cheng & Mahmassani, Hani S. & Zhou, Xuesong, 2009. "Equivalent gap function-based reformulation and solution algorithm for the dynamic user equilibrium problem," Transportation Research Part B: Methodological, Elsevier, vol. 43(3), pages 345-364, March.
    3. 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.
    4. Florian, Michael, 1976. "Urban Travel Demand Models and Multi-Modal Traffic Equilibrium," Transportation Research Forum Proceedings 1970s 318523, Transportation Research Forum.
    5. Zetina, Carlos Armando & Contreras, Ivan & Cordeau, Jean-François, 2019. "Profit-oriented fixed-charge network design with elastic demand," Transportation Research Part B: Methodological, Elsevier, vol. 127(C), pages 1-19.

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