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Improved Noniterative Algorithm for Solving the Traffic Equilibrium Problem

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  • F. Raciti

    (University of Catania)

  • P. Falsaperla

    (University of Catania)

Abstract

We provide an equivalent formulation of a previously proposed noniterative algorithm (see A. Maugeri, Appl. Math. Optim. 16, 169–185, 1987) for the traffic equilibrium problem. Moreover, under the strict monotonicity assumption, we provide an improved algorithm which enlarges the range of applicability of the previous algorithm and decreases considerably its computational effort. Our algorithm is based on a general algorithm for variational inequalities (see O. Mancino, G. Stampacchia, J. Optim. Theory Appl. 9, 3–23, 1972), which we further develop and adapt to the traffic equilibrium problem. Both our proofs and the algorithm exploit directly the equilibrium conditions which characterize our problem.

Suggested Citation

  • F. Raciti & P. Falsaperla, 2007. "Improved Noniterative Algorithm for Solving the Traffic Equilibrium Problem," Journal of Optimization Theory and Applications, Springer, vol. 133(3), pages 401-411, June.
    • Handle: RePEc:spr:joptap:v:133:y:2007:i:3:d:10.1007_s10957-007-9230-0
    DOI: 10.1007/s10957-007-9230-0
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    References listed on IDEAS

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    1. Stella Dafermos, 1980. "Traffic Equilibrium and Variational Inequalities," Transportation Science, INFORMS, vol. 14(1), pages 42-54, February.
    2. Smith, M. J., 1979. "The existence, uniqueness and stability of traffic equilibria," Transportation Research Part B: Methodological, Elsevier, vol. 13(4), pages 295-304, December.
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    Cited by:

    1. A. Causa & F. Raciti, 2010. "Lipschitz Continuity Results for a Class of Variational Inequalities and Applications: A Geometric Approach," Journal of Optimization Theory and Applications, Springer, vol. 145(2), pages 235-248, May.
    2. Chinedu Izuchukwu & Yekini Shehu, 2021. "New Inertial Projection Methods for Solving Multivalued Variational Inequality Problems Beyond Monotonicity," Networks and Spatial Economics, Springer, vol. 21(2), pages 291-323, June.

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