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Dynamic Power Control in a Wireless Static Channel Subject to a Quality-of-Service Constraint

Bar Ata

Kellogg School of Management, Northwestern University, 2001 Sheridan Road, Evanston, Illinois 60208
b-ata{at}kellogg.northwestern.edu

A controller dynamically chooses a state-dependent transmission rate on a static, point-to-point wireless link by varying transmission power over time. The transmitter is modeled as a finite-buffer Markovian queue with adjustable service rates. That is, data packets arrive to the system according to a Poisson process, and packet size is exponentially distributed. The controller chooses a transmission rate from a fixed set A of available values, depending on the backlog in the system. The objective is to minimize long-run average energy consumption subject to a quality-of-service constraint, which is expressed as an upper bound on the packet drop rate. An explicit formula is developed for the optimal transmission rate as a function of the packet queue length.

Subject classifications: telecommunications: dynamic power control; dynamic programming: service rate control in queues; queues: dynamic control.
History: Received May 2003; revision received March 2004; accepted May 2004.

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