Variational Inequalities and Applications to a Continuum Model of Transportation Network with Capacity Constraints

Authors:
Giovanna Idone
Affiliations:
D.I.M.E.T., Università di Reggio Calabria, Via Graziella, Loc. Feo di Vito, 89100 Reggio Calabria, Italy (e-mail: idone@ns.ing.unirc.it)
Venue:
Journal of Global Optimization
Year:
2004

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Abstract

A continuum model of transportation network is considered in presence of capacity constraints on the flow. The equilibrium conditions are expressed in terms of a Variational Inequality for which an existence theorem is provided.