Abstract

In this dissertation, we study issues arising in wireless communication networks, i.e., networks based on telecommunication infrastructure like cellular wireless networks, networks of autonomous wireless transmitters like ad hoc wireless networks, and so on. Wireless networks have received significant attention during the recent years. Especially, ad hoc wireless networks for which unlike traditional wired networks or cellular wireless networks, no wired backbone infrastructure is installed emerged due to their potential applications in emergency disaster relief, battlefield, etc. Like in traditional wired networks, an important problem concerns the establishment of communication patterns like broadcasting, multicasting, gossiping, all-to-all communication, and group communication. Communication then requires energy consumption at network nodes, and given that in ad hoc wireless networks energy is a scarce resource, it is of paramount importance to use it efficiently when establishing communication patterns. In such a setting, it is usually pursued that either the total energy consumed at networks nodes or the maximum energy consumed at any network node is minimized so that the network lifetime is prolonged as long as possible. Herein, we present and analyze theoretically and experimentally algorithms for guaranteeing the establishment of various communication patterns in ad hoc wireless networks and evaluate their performance in terms of their energy-efficiency. We represent these networks using graphs and model the corresponding communication problems as combinatorial optimization problems in such graphs. Our results include new algorithms which improve previously known relevant results as well as new lower bounds. Our main objective being the efficient energy allocation in wireless networks, our study is of dual character: on the one hand, we study and analyze fundamental problems of Theoretical Computer Science (like, e.g., Set Cover); such problems, as well as special cases of them, are highly interesting since they usually model energy-efficient communication problems in wireless networks. Furthermore, we propose and analyse new algorithms for particular communication scenaria in modern wireless networks. On the other hand, we experimentally study and evaluate several algorithms and techniques (both from the literature and new ones) for energy-efficient communication in wireless networks.

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