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853. A random elastic traffic equilibrium problem: stochastic quasi-variational approach

Invited abstract in session WB-43: Recent advances on Variational Inequalities and Equilibrium Problems I, stream Variational Inequalities and Equilibrium Problems: From Theoretical Advances to Real World Applications.

Wednesday, 10:30-12:00
Room: 99 (building: 306)

Authors (first author is the speaker)

1. Annamaria Barbagallo
Department of Mathematics and Applications "R. Caccioppoli", Universitá di Naples Federico II

Abstract

The aim of the talk is to introduce a random elastic traffic equilibrium problem in a Hilbert space setting (see [1]). The equilibrium condition is expressed by a random extension of the elastic Wardrop principle. Its characterization with a stochastic quasi-variational inequality is proved. Under suitable assumptions, the existence of a random equilibrium distribution is established. Furthermore, a numerical scheme to compute the random elastic traffic equilibrium distribution is presented. At last, a numerical example is provided.

References
[1] A. Barbagallo, S. Guarino Lo Bianco, A random elastic traffic equilibrium problem via stochastic quasi-variational inequalities, Commun. Nonlinear Sci. Numer. Simulat. 131 (2024) 107798.

Keywords

Status: accepted

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