We introduce a weighted traffic equilibrium problem in a non-pivot Hilbert space and prove the equivalence between a weighted Wardrop condition and a variational inequality. As an application we show, using some recent results of the Senseable Laboratory at MIT, how wireless devices can be used to optimize the traffic equilibrium problem.

Weighted Traffic Equilibrium Problem in Non Pivot Hilbert Spaces / Giuffre', Sofia; Pia, S. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 71:12(2009), pp. 2054-2061. [10.1016/j.na.2009.03.044]

Weighted Traffic Equilibrium Problem in Non Pivot Hilbert Spaces

GIUFFRE', Sofia;
2009-01-01

Abstract

We introduce a weighted traffic equilibrium problem in a non-pivot Hilbert space and prove the equivalence between a weighted Wardrop condition and a variational inequality. As an application we show, using some recent results of the Senseable Laboratory at MIT, how wireless devices can be used to optimize the traffic equilibrium problem.
2009
Weighted variational inequalities; Traffic equilibrium problem; Wardrop condition
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12318/7149
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