Resource Allocation and Cross Layer Control in Wireless Networks presents abstract models that capture the cross layer interaction from the physical to transport layer in wireless network architectures including cellular, ad-hoc and sensor networks as well as hybrid wireless-wireline. The emphasis in the presentation is on describing the models and the algorithms with application examples that illustrate the range of possible applications. Representative cases are analyzed in full detail to illustrate the applicability of the analysis techniques, while in other cases the results are described without proofs and references to the literature are provided.