Maximilian Riemensberger

Submodular Rate Region Models for Multicast Communication in Wireless Networks

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Foundations in Signal Processing, Communications and Networking 14
• Verlag: Springer / Springer International Publishing / Springer, Berlin
• Artikelnr. des Verlages: 978-3-319-87980-2
• Softcover reprint of the original 1st ed. 2018
• Seitenzahl: 308
• Erscheinungstermin: 12. August 2018
• Englisch
• Abmessung: 235mm x 155mm x 17mm
• Gewicht: 474g
• ISBN-13: 9783319879802
• ISBN-10: 3319879804
• Artikelnr.: 55126626

Inhaltsangabe

Introduction.- Submodular Information Flow Models for Multicast Communication.- Network Utility Maximization via Submodular Dual Decomposition.- Network Coding Bounds and Submodularity.- Deterministic and Linear Finite Field Networks.- Erasure Broadcast Networks.- Network Coding Bounds for Gaussian Networks.- Numerical Results for Gaussian Networks.- Concluding Remarks.

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Introduction.- Submodular Information Flow Models for Multicast Communication.- Network Utility Maximization via Submodular Dual Decomposition.- Network Coding Bounds and Submodularity.- Deterministic and Linear Finite Field Networks.- Erasure Broadcast Networks.- Network Coding Bounds for Gaussian Networks.- Numerical Results for Gaussian Networks.- Concluding Remarks.