Abstract
We present a unified analytical framework within which power control, rate allocation, routing, and congestion control for wireless networks can be optimized in a coherent and integrated manner. We consider a multi-commodity flow model with a CDMA-based physical-layer scheme in which power control and routing variables are chosen to minimize convex link costs reflecting, for instance, average queueing delay. Distributed network algorithms where joint power control and routing are performed on a node-by-node basis are presented. We show that with appropriately chosen parameters, these algorithms iteratively converge to the global optimum from any initial point with finite cost. We then extend the results to wireless networks with more general coding/modulation schemes where the physical-layer achievable rate region is given by an arbitrary convex set, and the link costs are quasi-convex. Finally, we demonstrate that congestion control can be seamlessly incorporated into our framework, so that algorithms developed for power control and routing can naturally be extended to optimize user input rates.

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