Energy-Delay Efficient Power Control in Wireless Networks

TL;DR

This paper presents a decentralized power control framework for wireless networks that optimizes energy efficiency and delay, ensuring convergence to a unique equilibrium while maintaining quality-of-service.

Contribution

It introduces a multi-objective game-theoretic power control approach with proven convergence and proposes both decentralized and centralized algorithms for energy-delay optimization.

Findings

Decentralized algorithm converges to a unique Nash equilibrium.

Centralized algorithm provides a benchmark with trade-offs between complexity and optimality.

Framework ensures minimum quality-of-service for all users.

Abstract

This work aims at developing a power control framework to jointly optimize energy efficiency (measured in bit/Joule) and delay in wireless networks. A multi-objective approach is taken to deal with both performance metrics, while ensuring a minimum quality-of-service to each user in the network. Each user in the network is modeled as a rational agent that engages in a generalized non-cooperative game. Feasibility conditions are derived for the existence of each player's best response, and used to show that if these conditions are met, the game best response dynamics will converge to a unique Nash equilibrium. Based on these results, a convergent power control algorithm is derived, which can be implemented in a fully decentralized fashion. Next, a centralized power control algorithm is proposed, which also serves as a benchmark for the proposed decentralized solution. Due to the non-convexity of the centralized problem, the tool of maximum block improvement is used, to trade-off complexity with optimality.