Dresden 2003 – scientific programme
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DY: Dynamik und Statistische Physik
DY 12: Statistical physics of complex networks
DY 12.2: Talk
Monday, March 24, 2003, 11:45–12:00, G\"OR/226
Wireless multi-hop ad hoc communication networks from the viewpoint of Statistical Physics. — •Wolfram Krause1,2, Ingmar Glauche1,3, Rudolf Sollacher1, and Martin Greiner1 — 1Corporate Technology, Information & Communications, Siemens AG, D-81730 München, Germany — 2Institut für Theoretische Physik, Johann Wolfgang Goethe-Universität, Postfach 11 19 32, D-60054 Frankfurt am Main, Germany — 3Institut für Theoretische Physik, Technische Universität, D-01062 Dresden, Germany
Wireless multi-hop ad hoc communication networks represent an infrastructure-less and self-organized generalization of todays wireless networks. Using a graph-theoretical approach and methods from Statistical Physics, the topology of these networks can be analysed and optimized. Graph-theoretical estimates for the end-to-end throughput of wireless ad hoc networks are established and discussed. We demonstrate, that a critical network size exists, below which a fully connected network always yields a larger end-to-end throughput. This result is confirmed with a generic data traffic simulation. Borrowing optimization methods from Statistical Physics, the topology of wireless networks is further throughput optimized, thus significantly increasing the end-to-end throughput and reducing the critical network size. This calls for a sophisticated transmission power control protocol.