Variational inequalities and discrete and continuum models of network equilibrium problems

Authors:
P. Daniele;A. Maugeri
Affiliations:
Dipartimento di Matematica, Università di Catania Viale A. Doria, 6 95125 Catania, Italy;Dipartimento di Matematica, Università di Catania Viale A. Doria, 6 95125 Catania, Italy
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2002

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Abstract

In this paper, we present different equilibrium models (the traffic equilibrium model in the static, in the dynamic and in the continuum case, the market equilibrium problem in the static and in the dynamic case) and we find the variational inequality related to each problem. We propose also a computational procedure for the calculation of the equilibrium solution and present the dual formulation of the variational inequality related to the traffic equilibrium problem.