Submodular Rate Region Models for Multicast Communication in Wireless Networks

Softcover Nachdruck of the original 1. Auflage 2018
ISBN: 978-3-319-87980-2
Verlag: Springer International Publishing

Buch, Englisch, Band 14, 281 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 470 g

Reihe: Foundations in Signal Processing, Communications and Networking

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.

Zielgruppe

Research

Autoren/Hrsg.

Riemensberger, Maximilian

Fachgebiete

• Technische Wissenschaften Elektronik | Nachrichtentechnik Nachrichten- und Kommunikationstechnik Drahtlostechnologie
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Mathematik | Informatik EDV | Informatik Computerkommunikation & -vernetzung Mobilfunk- und Drahtlosnetzwerke & Anwendungen
• Mathematik | Informatik Mathematik Operations Research Graphentheorie

Inhaltsverzeichnis

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.