Submodular Rate Region Models for Multicast Communication in Wireless Networks
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Beschreibung
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.
Offers representations of multicast rate regions in wireless networks based on the mathematical concept of submodular functions
Establishes a multitude of connections between cut and flow models and the central role played by the submodularity of the cut rate functions
Proposes an approach for computationally efficient characterizations of inner and outer bounds on the multicast capacity regions for various classes of wireless networks
Offers representations of multicast rate regions in wireless networks based on the mathematical concept of submodular functions Establishes a multitude of connections between cut and flow models and the central role played by the submodularity of the cut rate functions Proposes an approach for computationally efficient characterizations of inner and outer bounds on the multicast capacity regions for various classes of wireless networks Includes supplementary material: sn.pub/extras
Autor*in
Maximilian Riemensberger
Themen in »Submodular Rate Region Models for Multicast Communication in Wireless Networks«
submodular polyhedra polymatroid broadcast model multicast rate regions submodular cut model submodular functions multiple access communication Network coding hypergraph model