Weighted Traffic Equilibrium Problem in Non Pivot Hilbert Spaces with Long Term Memory

Sofia Giuffré, Stéphane Pia, Theodore E. Simos, George Psihoyios, Ch. Tsitouras · AIP conference proceedings · 2010

In the paper we consider a weighted traffic equilibrium problem in a non‐pivot Hilbert space and prove the equivalence between a weighted Wardrop condition and a variational inequality with long term memory. As an application we show, using recent results of the Senseable Laboratory at MIT, how wireless devices can be used to optimize the traffic equilibrium problem.

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