A game-theoretic model is proposed to study the cross-layer problem of jointpower and rate control with quality of service (QoS) constraints inmultiple-access networks. In the proposed game, each user seeks to choose itstransmit power and rate in a distributed manner in order to maximize its ownutility and at the same time satisfy its QoS requirements. The user's QoSconstraints are specified in terms of the average source rate and averagedelay. The utility function considered here measures energy efficiency and thedelay includes both transmission and queueing delays. The Nash equilibriumsolution for the proposed non-cooperative game is derived and a closed-formexpression for the utility achieved at equilibrium is obtained. It is shownthat the QoS requirements of a user translate into a "size" for the user whichis an indication of the amount of network resources consumed by the user. Usingthis framework, the tradeoffs among throughput, delay, network capacity andenergy efficiency are also studied.
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