Submodular Rate Region Models for Multicast Communication in Wireless Networks

Nonfiction, Science & Nature, Mathematics, Graphic Methods, Technology, Telecommunications
Cover of the book Submodular Rate Region Models for Multicast Communication in Wireless Networks by Maximilian Riemensberger, Springer International Publishing
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Author: Maximilian Riemensberger ISBN: 9783319652320
Publisher: Springer International Publishing Publication: August 29, 2017
Imprint: Springer Language: English
Author: Maximilian Riemensberger
ISBN: 9783319652320
Publisher: Springer International Publishing
Publication: August 29, 2017
Imprint: Springer
Language: English

​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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​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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