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Submodular rate region models for mu...

Riemensberger, Maximilian.

Submodular rate region models for multicast communication in wireless networks

Record Type:	Electronic resources : Monograph/item
Title/Author:	Submodular rate region models for multicast communication in wireless networksby Maximilian Riemensberger.
Author:	Riemensberger, Maximilian.
Published:	Cham :Springer International Publishing :2018.
Description:	xxiii, 281 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Wireless communication systems.
Online resource:	http://dx.doi.org/10.1007/978-3-319-65232-0
ISBN:	9783319652320$q(electronic bk.)

Submodular rate region models for multicast communication in wireless networks
Riemensberger, Maximilian.

Submodular rate region models for multicast communication in wireless networks[electronic resource] /by Maximilian Riemensberger. - Cham :Springer International Publishing :2018. - xxiii, 281 p. :ill., digital ;24 cm. - Foundations in signal processing, communications and networking,v.141863-8538 ;. - Foundations in signal processing, communications and networking ;7..

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.

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.

ISBN: 9783319652320$q(electronic bk.)

Standard No.: 10.1007/978-3-319-65232-0doiSubjects--Topical Terms:

182744
Wireless communication systems.

LC Class. No.: TK5103.2

Dewey Class. No.: 621.382

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505 0 $a 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.
520 $a 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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