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Theoretical study of optimization problems in wireless communication often deals with zero-dimensional tasks. For example, the power control problem requires computing a power assignment guaranteeing that each transmitting station is successfully received at a single receiver point. This paper aims at addressing communication applications that require handling 2-dimensional tasks (e.g., Guaranteeing...
The power control problem for wireless networks in the SINR model requires determining the optimal power assignment for a set of communication requests such that the SINR threshold is met for all receivers. If the network topology is known to all participants, then it is possible to compute an optimal power assignment in polynomial time. In realistic environments, however, such global knowledge is...
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