This monograph develops a framework for modeling and solving utility
maximization problems in nonconvex wireless systems. The first part
develops a model for utility optimization in wireless systems. The model
is general enough to encompass a wide array of system configurations and
performance objectives. Based on the general model, a set of methods for
solving utility maximization problems is developed in the second part of
the book. The development is based on a careful examination of the
properties that are required for the application of each method. This
part focuses on problems whose initial formulation does not allow for a
solution by standard methods and discusses alternative approaches. The
last part presents two case studies to demonstrate the application of
the proposed framework. In both cases, utility maximization in
multi-antenna broadcast channels is investigated.