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Random Variational Inequalities and the Random Traffic Equilibrium Problem

Author

Listed:
  • Patrizia Daniele

    (University of Catania)

  • Sofia Giuffrè

    (“Mediterranea” University of Reggio Calabria)

Abstract

In the paper we study, in a Hilbert space setting, a general random traffic equilibrium problem and characterize the random Wardrop equilibrium distribution by means of a random variational inequality. Some existence results are provided and the associated Lagrange function is studied. Some examples illustrate the random variational inequality and the counterintuitive behaviour of the traffic equilibrium problem is focused.

Suggested Citation

  • Patrizia Daniele & Sofia Giuffrè, 2015. "Random Variational Inequalities and the Random Traffic Equilibrium Problem," Journal of Optimization Theory and Applications, Springer, vol. 167(1), pages 363-381, October.
    • Handle: RePEc:spr:joptap:v:167:y:2015:i:1:d:10.1007_s10957-014-0655-y
    DOI: 10.1007/s10957-014-0655-y
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    References listed on IDEAS

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