Processor sharing and pricing implications

We study pricing models for bandwidth sharing that do not depend on detailed statistical knowledge of network traffic. For a multiclass, processor sharing server, we show that three common pricing models, namely fixed rate pricing, Vickrey-Clarke-Groves pricing, and congestion-based pricing, are linked to the zeroth, first, and second moments, respectively, of the number of users in the system. We derive expressions for these quantities and provide insights into the operator´s revenue and user payments.