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An algorithm for solving asymmetric equilibrium problems with a continuous cost-flow function

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  • Smith, M. J.

Abstract

The paper gives two user objective functions for the asymmetric assignment problem, and an algorithm of descent type. The algorithm produces a sequence of flows which converges to the set of equilibria if the cost-flow function is continuous.

Suggested Citation

  • Smith, M. J., 1983. "An algorithm for solving asymmetric equilibrium problems with a continuous cost-flow function," Transportation Research Part B: Methodological, Elsevier, vol. 17(5), pages 365-371, October.
    • Handle: RePEc:eee:transb:v:17:y:1983:i:5:p:365-371
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    Cited by:

    1. Chen, Yuh-Wen & Tzeng, Gwo-Hshiung, 2001. "Using fuzzy integral for evaluating subjectively perceived travel costs in a traffic assignment model," European Journal of Operational Research, Elsevier, vol. 130(3), pages 653-664, May.
    2. Sang Nguyen & Stefano Pallottino & Federico Malucelli, 2001. "A Modeling Framework for Passenger Assignment on a Transport Network with Timetables," Transportation Science, INFORMS, vol. 35(3), pages 238-249, August.
    3. Robert B. Dial, 1999. "Network-Optimized Road Pricing: Part II: Algorithms and Examples," Operations Research, INFORMS, vol. 47(2), pages 327-336, April.
    4. Meneguzzer, Claudio, 1995. "An equilibrium route choice model with explicit treatment of the effect of intersections," Transportation Research Part B: Methodological, Elsevier, vol. 29(5), pages 329-356, October.
    5. Xie, Chi & Travis Waller, S., 2012. "Stochastic traffic assignment, Lagrangian dual, and unconstrained convex optimization," Transportation Research Part B: Methodological, Elsevier, vol. 46(8), pages 1023-1042.
    6. Sylvain Sorin & Cheng Wan, 2016. "Finite composite games: Equilibria and dynamics," Post-Print hal-02885860, HAL.
    7. L. Montero & J. Barceló, 1996. "A simplicial decomposition algorithm for solving the variational inequality formulation of the general traffic assignment problem for large scale networks," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 4(2), pages 225-256, December.

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