Submodular Rate Region Models for Multicast Communication in Wireless Networks
Maximilian Riemensberger
Aug 2017 · Foundations in Signal Processing, Communications and Networking Book 14 · Springer
Ebook
281
Pages
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About this ebook
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.
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