Random Variational Inequalities and the Random Traffic Equilibrium Problem

Patrizia Daniele () and Sofia Giuffrè ()
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Patrizia Daniele: University of Catania
Sofia Giuffrè: “Mediterranea” University of Reggio Calabria

Journal of Optimization Theory and Applications, 2015, vol. 167, issue 1, No 17, 363-381

Abstract: 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.

Keywords: Random variational inequalities; Random traffic network; Wardrop equilibrium; Random Lagrange variables; 60H25; 49J55; 49J40 (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (6)

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DOI: 10.1007/s10957-014-0655-y

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