The joint power control and base station assignment for the downlink is considered. We present an algorithm that finds a feasible joint base assignment and power control in the downlink which uses the base assignment that is computed by the joint algorithm in the uplink. We show that under some conditions the algorithm also minimizes the sum of the downlink powers. Interestingly, there is not always a Pareto optimal power vector for the joint problem in the downlink as is the case in the uplink. This fact is demonstrated through a counter example.
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