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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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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Buch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Offers representations of multicast rate regions in wireless networks based on the mathematical concept of submodular functionsEstablishes a multitude of connections between cut and flow models and the central role played by the submodularity of the cut rate functionsProposes an approach for computationally efficient characterizations of inner and outer bounds on the multicast capacity regions for various classes of wireless networksSpringer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 308 pp. Englisch. Seller Inventory # 9783319652313