Submodular Rate Region Models for Multicast Communication in Wireless Networks 1st ed. 2018 Edition

Ebook Details


Maximilian Riemensberger

Year 2017
Pages 281
Publisher Springer
Language en
ISBN 9783319652313
File Size 3.4 MB
File Format PDF
Download Counter 102
Amazon Link

Ebook Description

​This book proposes representations of multicast rate regions in wireless networks based on the mathematical concept of submodular functions, e.g., the submodular cut model and the polymatroid broadcast model. These models subsume and generalize the graph and hypergraph models. The submodular structure facilitates a dual decomposition approach to network utility maximization problems, which exploits the greedy algorithm for linear programming on submodular polyhedra. This approach yields computationally efficient characterizations of inner and outer bounds on the multicast capacity regions for various classes of wireless networks.