Optimization flow control—I: basic algorithm and convergence
IEEE/ACM Transactions on Networking (TON)
Convex Optimization
The impact of imperfect scheduling on cross-layer congestion control in wireless networks
IEEE/ACM Transactions on Networking (TON)
Asymptotically optimal transmission policies for large-scale low-power wireless sensor networks
IEEE/ACM Transactions on Networking (TON)
Power Control in Wireless Cellular Networks
Foundations and Trends® in Networking
Distributed cross-layer algorithms for the optimal control of multihop wireless networks
IEEE/ACM Transactions on Networking (TON)
Characterization of SINR region for interfering links with constrained power
IEEE Transactions on Information Theory
Power Control By Geometric Programming
IEEE Transactions on Wireless Communications
Closing the Gap in the Capacity of Wireless Networks Via Percolation Theory
IEEE Transactions on Information Theory
On the Connection-Level Stability of Congestion-Controlled Communication Networks
IEEE Transactions on Information Theory
IEEE Journal on Selected Areas in Communications
An introduction to convex optimization for communications and signal processing
IEEE Journal on Selected Areas in Communications
A tutorial on cross-layer optimization in wireless networks
IEEE Journal on Selected Areas in Communications
Joint congestion control, routing, and MAC for stability and fairness in wireless networks
IEEE Journal on Selected Areas in Communications
Spectrum Management in Multiuser Cognitive Wireless Networks: Optimality and Algorithm
IEEE Journal on Selected Areas in Communications
A framework for uplink power control in cellular radio systems
IEEE Journal on Selected Areas in Communications
Hardness of Low Delay Network Scheduling
IEEE Transactions on Information Theory
IEEE Transactions on Signal Processing
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In this paper, we consider a wireless network where interference is treated as noise, and we study the nonconvex problem of sum rate maximization by power control. We focus on finding approximately optimal solutions that can be efficiently computed to this NP-hard problem by studying the solutions to two related problems, the sum rate maximization using a signal-to-interference-plus-noise ratio (SINR) approximation and the max-min weighted SINR optimization. We show that these two problems are intimately connected, can be solved efficiently by algorithms with fast convergence and minimal parameter configuration, and can yield high-quality approximately optimal solutions to sum rate maximization in the low interference regime. As an application of these results, we analyze the connection-level stability of cross-layer utility maximization in the wireless network, where users arrive and depart randomly and are subject to congestion control, and the queue service rates at all the links are determined by the sum rate maximization problem. In particular, we determine the stability region when all the links solve the max-min weighted SINR problem, using instantaneous queue sizes as weights.