Submodular Rate Region Models for Multicast Communication in Wireless Networks

Download or read book Submodular Rate Region Models for Multicast Communication in Wireless Networks written by Maximilian Riemensberger and published by Springer. This book was released on 2017-08-29 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: ​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.