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Random Variational Inequalities and the Random Traffic Equilibrium Problem

Journal of Optimization Theory and Applications volume 167, pages 363–381 (2015)Cite this article

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.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, University of Catania, Viale A. Doria, 6, 95125, Catania, Italy

    Patrizia Daniele

  2. D.I.I.E.S., “Mediterranea” University of Reggio Calabria, 89060, Reggio Calabria, Italy

    Sofia Giuffrè

Authors
  1. Patrizia Daniele
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  2. Sofia Giuffrè
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Corresponding author

Correspondence to Sofia Giuffrè.

Additional information

Communicated by Nguyen Dong Yen.

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Daniele, P., Giuffrè, S. Random Variational Inequalities and the Random Traffic Equilibrium Problem. J Optim Theory Appl 167, 363–381 (2015). https://doi.org/10.1007/s10957-014-0655-y

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  • DOI: https://doi.org/10.1007/s10957-014-0655-y

Keywords

  • Random variational inequalities
  • Random traffic network
  • Wardrop equilibrium
  • Random Lagrange variables

Mathematics Subject Classification

  • 60H25
  • 49J55
  • 49J40