Convex Optimization
Rate Allocation and Admission Control for Differentiated Services in CDMA Data Networks
IEEE Transactions on Mobile Computing
Branching and bounds tighteningtechniques for non-convex MINLP
Optimization Methods & Software - GLOBAL OPTIMIZATION
A branch and reduce approach for solving a class of low rank d.c. programs
Journal of Computational and Applied Mathematics
MAPEL: achieving global optimality for a non-convex wireless power control problem
IEEE Transactions on Wireless Communications
Robust spectrum management for DMT-based systems
IEEE Transactions on Signal Processing
Global Concave Minimization for Optimal Spectrum Balancing in Multi-User DSL Networks
IEEE Transactions on Signal Processing - Part I
IEEE Transactions on Wireless Communications
A framework for uplink power control in cellular radio systems
IEEE Journal on Selected Areas in Communications
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Discrete-rate spectrum balancing in interference-limited multi-user and multi-carrier digital subscriber lines (DSL) is a large-scale, non-convex and combinatorial problem. Previously proposed algorithms for its (dual) optimal solution are only applicable for networks with few users, while the suboptimality of less complex bit-loading algorithms has not been adequately studied so far. We deploy constrained optimization techniques as well as problem-specific branch-and-bound and search-space reduction methods, which for the first time give a low-complexity guarantee of optimality in certain multi-user DSL networks of practical size. Simulation results precisely quantify the suboptimality of multi-user bit-loading schemes in a thousand ADSL2 scenarios under measured channel data.