Data networks
Parallel and distributed computation: numerical methods
Parallel and distributed computation: numerical methods
Sensitivity analysis in geometric programming: theory and computations
Annals of Operations Research
Elements of information theory
Elements of information theory
Lagrange multipliers and optimality
SIAM Review
IEEE/ACM Transactions on Networking (TON)
An infeasible interior-point algorithm for solving primal and dual geometric programs
Mathematical Programming: Series A and B - Special issue: interior point methods in theory and practice
Robust Solutions to Least-Squares Problems with Uncertain Data
SIAM Journal on Matrix Analysis and Applications
Mathematics of Operations Research
Optimization flow control—I: basic algorithm and convergence
IEEE/ACM Transactions on Networking (TON)
Fair end-to-end window-based congestion control
IEEE/ACM Transactions on Networking (TON)
Sensitivity Analysis Procedures for Geometric Programs: Computational Aspects
ACM Transactions on Mathematical Software (TOMS)
Lectures on modern convex optimization: analysis, algorithms, and engineering applications
Lectures on modern convex optimization: analysis, algorithms, and engineering applications
Understanding TCP Vegas: a duality model
Journal of the ACM (JACM)
Utility-based rate control in the Internet for elastic traffic
IEEE/ACM Transactions on Networking (TON)
Information Theory and Reliable Communication
Information Theory and Reliable Communication
Robust Solutions to Uncertain Semidefinite Programs
SIAM Journal on Optimization
Robust Solutions of Uncertain Quadratic and Conic-Quadratic Problems
SIAM Journal on Optimization
DSL Advances
Information Theory: Coding Theorems for Discrete Memoryless Systems
Information Theory: Coding Theorems for Discrete Memoryless Systems
Mathematical Programming Models for Environmental Quality Control
Mathematical Programming Models for Environmental Quality Control
A duality model of TCP and queue management algorithms
IEEE/ACM Transactions on Networking (TON)
End-to-end congestion control schemes: utility functions, random losses and ECN marks
IEEE/ACM Transactions on Networking (TON)
The Mathematics of Internet Congestion Control (Systems and Control: Foundations and Applications)
The Mathematics of Internet Congestion Control (Systems and Control: Foundations and Applications)
Convex Optimization
A Polynomial Time Algorithm for Computing the Arrow-Debreu Market Equilibrium for Linear Utilities
FOCS '04 Proceedings of the 45th Annual IEEE Symposium on Foundations of Computer Science
IEEE Transactions on Wireless Communications
Optimal permutation codes for the Gaussian channel
IEEE Transactions on Information Theory
The method of types [information theory]
IEEE Transactions on Information Theory
Duality between channel capacity and rate distortion with two-sided state information
IEEE Transactions on Information Theory
Duality between source coding and channel coding and its extension to the side information case
IEEE Transactions on Information Theory
Capacity bounds via duality with applications to multiple-antenna systems on flat-fading channels
IEEE Transactions on Information Theory
Geometric programming duals of channel capacity and rate distortion
IEEE Transactions on Information Theory
Duality bounds on the cutoff rate with applications to Ricean fading
IEEE Transactions on Information Theory
Optimal design of a CMOS op-amp via geometric programming
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
IEEE Journal on Selected Areas in Communications
An introduction to large deviations for communication networks
IEEE Journal on Selected Areas in Communications
TCP Vegas: end to end congestion avoidance on a global Internet
IEEE Journal on Selected Areas in Communications
MIMO transceiver design via majorization theory
Foundations and Trends in Communications and Information Theory
Distributed power control and random access for spectrum sharing with QoS constraint
Computer Communications
Impact of CSI on distributed space-time coding in wireless relay networks
IEEE Transactions on Wireless Communications
IEEE Transactions on Wireless Communications
On power allocation for parallel Gaussian broadcast channels with common information
EURASIP Journal on Wireless Communications and Networking - Special issue on optimization techniques in wireless communications
Game-theoretic deployment design of small-cell OFDM networks
Proceedings of the Fourth International ICST Conference on Performance Evaluation Methodologies and Tools
Resource allocation for downlink cellular OFDMA systems: part I: optimal allocation
IEEE Transactions on Signal Processing
Long term fair scheduling in a cognitive wireless network with spectrum underlay
GLOBECOM'09 Proceedings of the 28th IEEE conference on Global telecommunications
QoS-aware optimal power allocation with channel inversion regularization precoding in MU-MIMO
ICC'09 Proceedings of the 2009 IEEE international conference on Communications
Power control for cooperative dynamic spectrum access networks with diverse QoS constraints
IEEE Transactions on Communications
A class of convergent algorithms for resource allocation in wireless fading networks
IEEE Transactions on Wireless Communications
Characterization of SINR region for interfering links with constrained power
IEEE Transactions on Information Theory
Distributed power control for cognitive user access based on primary link control feedback
INFOCOM'10 Proceedings of the 29th conference on Information communications
Optimal SINR-based random access
INFOCOM'10 Proceedings of the 29th conference on Information communications
Proceedings of the eleventh ACM international symposium on Mobile ad hoc networking and computing
Energy-constrained link adaptation for MIMO OFDM wireless communication systems
IEEE Transactions on Wireless Communications
Utility-based power control with QoS support
Wireless Networks
IEEE Transactions on Wireless Communications
Layering as optimization decomposition: questions and answers
MILCOM'06 Proceedings of the 2006 IEEE conference on Military communications
Joint routing and resource allocation via superposition coding for wireless data networks
IEEE Transactions on Signal Processing
The waterfilling game-theoretical framework for distributed wireless network information flow
EURASIP Journal on Wireless Communications and Networking - Special issue on dynamic spectrum access: from the concept to the implementation
Theory and Applications of Robust Optimization
SIAM Review
The state of the art in cross-layer design for wireless sensor networks
EURO-NGI'05 Proceedings of the Second international conference on Wireless Systems and Network Architectures in Next Generation Internet
Holistic design parameter optimization of multiple periodic resources in hierarchical scheduling
Proceedings of the Conference on Design, Automation and Test in Europe
Joint Routing and Medium Access Control in Fixed Random Access Wireless Multihop Networks
IEEE/ACM Transactions on Networking (TON)
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Geometric Programming (GP) is a class of nonlinear optimization with many useful theoretical and computational properties. Over the last few years, GP has been used to solve a variety of problems in the analysis and design of communication systems in several 'layers' in the communication network architecture, including information theory problems, signal processing algorithms, basic queuing system optimization, many network resource allocation problems such as power control and congestion control, and cross-layer design. We also start to understand why, in addition to how, GP can be applied to a surprisingly wide range of problems in communication systems. These applications have in turn spurred new research activities on GP, especially generalizations of GP formulations and development of distributed algorithms to solve GP in a network. This text provides both an in-depth tutorial on the theory, algorithms, and modeling methods of GP, and a comprehensive survey on the applications of GP to the study of communication systems.