Description of the Quality of Service Feasibility Region

The weighted sum rate has so far been the primary utility at which the main focus of our optimizations aimed. Given a maximum available transmit power \(P_\mathrm{max}\), an algorithm for the maximization of the weighted sum rate finally determined which user subset has to be served in order to achieve the maximum metric. Depending on the choice of the weight vector, the available transmit power, the number of users, and the transmission technique (linear or nonlinear), some users possibly did not receive any active data stream. At a higher level, a master program (scheduler for example) usually updates the user weights such that on a larger time scale, every user may be served at his desired rate.