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Berlin 2008 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 22: Statistical physics of complex networks II

DY 22.5: Vortrag

Mittwoch, 27. Februar 2008, 17:45–18:00, MA 004

Effects of load fluctuations on the robustness of networks — •Dominik Heide1, Mirko Schäfer1, and Martin Greiner21Frankfurt Institute for Advanced Studies (FIAS), Ruth-Moufang-Str. 1, 60438 Frankfurt am Main — 2Corporate Technology, Information Communications, Siemens AG, 81730 München

On previously studied heterogeneously loaded networks [1], we analyze the effect of load fluctuations on the network’s robustness. We find that on each vertex the distribution of the resulting load can be described using parameters analytically derived from the network flow paths. Based on this analysis, we propose a capacity layout where the probabilities for the number of overloaded vertices due to load fluctuations is known. Furthermore, we analyze the robustness of the network against cascades of overload failures. The findings are of relevance for critical infrastructures like communication, transportation, and power networks.

[1] A. Motter, and Y.C. Lai, Phys. Rev. E 66, 065102(R) (2002)

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