Titel: Submodular Rate Region Models for Multicast Communication in Wireless Networks (Foundations in Signal Processing, Communications and Networking)
Verlag: Springer
Erscheinungsjahr: 2018
Sprache: Englisch
ISBN-10: 3319879804
ISBN-13: 9783319879802
Einband: Paperback
Zustand: Brand New

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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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