Optimal Power Control for Wireless Queueing Networks

摘要

In this paper, we address the problem ofrnpower control in wireless queueing networks. We con-rnsider a discrete time (slotted) wireless system of singlernlink. Data arrive in packets according to a Bernoullirnprocess of rate λ. A simple ARQ (send and wait)rnretransmission policy is used for the transmission ofrnpackets. The control parameter in this system is therntransmission power of a packet, which is decided atrnevery time slot if there is a packet to be transmit-rnted at the queue. We consider choosing dynamicallyrnfrom two power levels dependent on the system statern(number of packets in the system and previous de-rncision). Our goal is to jointly minimize energy ex-rnpenditure and queue overflow. Using the dynamicrnprogramming framework, we prove that the optimalrnpolicy that chooses one of the two power levels is ofrnthreshold type, that is, the optimal policy switchesrnfrom small to large and large to small power at cer-rntain queue length states.