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.
Random Variational Inequalities and the Random Traffic Equilibrium Problem / Daniele, P; Giuffre', Sofia. - In: JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS. - ISSN 1573-2878. - 167:(2015), pp. 363-381. [10.1007/s10957-014-0655-y]
Random Variational Inequalities and the Random Traffic Equilibrium Problem
GIUFFRE', Sofia
2015-01-01
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.| File | Dimensione | Formato | |
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