A HEAVY TRAFFIC APPROACH FOR QUEUE-AWARE POWER CONTROL IN INTERFERINGWIRELESS LINKS

In this work, we address the problem of power allocation for interfering transmitter-receiver pairs so that the probability that each queue length exceeds a specified threshold is fixed at a desired value. One application is satisfying QoS require-ments in a dense cellular network. We address this problem using heavy traffic approximation techniques which lead to an asymptotic model described by a (controlled) stochastic dif-ferential equation. The power control strategy consists in al-locating most of the power according to the wireless channel state and a smaller fraction according to the queue lengths. Simulation results in a simple setting illustrate that the pro-posed control policy can yield desirable results in practical systems. 1