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

• Published in: Operations research Vol. 53; no. 5; pp. 842 - 851
• Main Author: Ata, Bar{iota}s
• Format: Journal Article
• Language: English
• Published: Linthicum, MD INFORMS 01.09.2005; Institute for Operations Research and the Management Sciences
• Subjects: Adaptive control; Analysis; Applied sciences; Average cost; Control theory; Cost control; Data transmission; Dynamic programming; dynamic programming: service rate control in queues; Exact sciences and technology; Lagrangian function; Markov analysis; Markov processes; Mathematical vectors; Operational research and scientific management; Operational research. Management science; Optimal control; Optimal policy; Optimization techniques; Quality of service; queues: dynamic control; Queuing theory; Queuing theory. Traffic theory; Studies; Telecommunication; telecommunications: dynamic power control; Wireless communications; United States; Markov process; Energy consumption; dynamic programming: service rate control in queues; Transmitter; Telecommunication; Buffer system; Poisson process; Transmission time; queues: dynamic control; Queue length; telecommunications: dynamic power control; Power control; Transmission rate; Dynamic programming; State dependence; Queue; Service quality
• ISSN: 0030-364X; 1526-5463
• DOI: 10.1287/opre.1040.0188

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.