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Computational comparisons of algorithms for general asymmetric traffic equilibrium problems with fixed and elastic demands

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  • Nagurney, Anna

Abstract

In this note we compare the computational efficiency of projection and relaxation methods for the solution of the asymmetric traffic equilibrium problem with elastic demands with their computational efficiency for the fixed demand problem. In particular, we tested networks with three different classes of travel cost and travel disutility functions. Our experiments suggest that the form of the travel cost and disutility functions affects not only the relative efficiencies of these two methods but also their overall efficiencies.

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  • Nagurney, Anna, 1986. "Computational comparisons of algorithms for general asymmetric traffic equilibrium problems with fixed and elastic demands," Transportation Research Part B: Methodological, Elsevier, vol. 20(1), pages 78-84, February.
    • Handle: RePEc:eee:transb:v:20:y:1986:i:1:p:78-84
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    Cited by:

    1. Anna Nagurney & Patrizia Daniele & Ladimer S. Nagurney, 2020. "Refugee migration networks and regulations: a multiclass, multipath variational inequality framework," Journal of Global Optimization, Springer, vol. 78(3), pages 627-649, November.
    2. Ran, Bin & Hall, Randolph & Boyce, David E., 1995. "A Link-Based Variational Inequality Model for Dynamic Departure Time/Route Choice," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt84t190b3, Institute of Transportation Studies, UC Berkeley.
    3. 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.
    4. C. W. Yang & Ken Hung, 2010. "Stability Of Rents And Returns As A Source Of Internal Financing: Evidence From Appalachian Coal Producers," Accounting & Taxation, The Institute for Business and Finance Research, vol. 2(1), pages 33-46.
    5. Walter C. Labys & Chin-wei Yang, 1991. "Advances in the Spatial Equilibrium Modeling of Mineral and Energy Issues," International Regional Science Review, , vol. 14(1), pages 61-94, April.
    6. 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.
    7. Ran, Bin & Boyce, David E., 1995. "Ideal Dynamic User-Optimal Route Choice: A Link-Based Variational Inequality Formulation," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt3t4686x6, Institute of Transportation Studies, UC Berkeley.
    8. Ran, Bin & Hall, Randolph W. & Boyce, David E., 1996. "A link-based variational inequality model for dynamic departure time/route choice," Transportation Research Part B: Methodological, Elsevier, vol. 30(1), pages 31-46, February.

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