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Submodular rate region models for mu...

Riemensberger, Maximilian.

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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 networks/ by Maximilian Riemensberger.
Author:	Riemensberger, Maximilian.
Published:	Cham :Springer International Publishing : : 2018.,
Description:	xxiii, 281 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer eBooks
Subject:	Wireless communication systems. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-65232-0
ISBN:	9783319652320

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 ;v.14..

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

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

567106
Wireless communication systems.

LC Class. No.: TK5103.2

Dewey Class. No.: 621.382

Submodular rate region models for multicast communication in wireless networks
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100 1 $a Riemensberger, Maximilian. $3 3295982
245 1 0 $a Submodular rate region models for multicast communication in wireless networks $h [electronic resource] / $c by Maximilian Riemensberger.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2018.
300 $a xxiii, 281 p. : $b ill., digital ; $c 24 cm.
490 1 $a Foundations in signal processing, communications and networking, $x 1863-8538 ; $v v.14
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.
650 0 $a Wireless communication systems. $3 567106
650 0 $a Multicasting (Computer networks) $3 620938
650 1 4 $a Engineering. $3 586835
650 2 4 $a Communications Engineering, Networks. $3 891094
650 2 4 $a Graph Theory. $3 1567033
650 2 4 $a Information Systems Applications (incl. Internet) $3 1565452
650 2 4 $a Functional Analysis. $3 893943
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Foundations in signal processing, communications and networking ; $v v.14. $3 3295983
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-65232-0
950 $a Engineering (Springer-11647)