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Robustness of networks against fluctuation-induced cascading failures
Dominik Heide1, Mirko Schäfer, Martin Greiner
1Frankfurt Institute for Advanced Studies and Frankfurt International Graduate School for Science, Johann Wolfgang Goethe Universität, Ruth-Moufang-Strasse 1, D-60438 Frankfurt am Main, Germany. dheide@fias.uni-frankfurt.de
Summary
This study characterizes load fluctuations in complex networks to prevent cascading failures. An improved network layout is proposed, reducing costs and enhancing efficiency by considering vertex load correlations.
Area of Science:
- Network science
- Complex systems analysis
- Robustness engineering
Background:
- Complex networks are susceptible to cascading failures due to fluctuating loads at vertices.
- Understanding load fluctuations is crucial for network stability and reliability.
Purpose of the Study:
- To characterize one-point load fluctuations in complex networks.
- To propose an alternate network layout for enhanced robustness and cost-efficiency.
Main Methods:
- Analysis of load fluctuation dependence on flux dynamics and network structure.
- Development of a robustness layout considering inter-vertex load correlations.
- Analytical prediction and simulation-based confirmation of network efficiency probability.
Main Results:
- Load fluctuations are dependent on flux characteristics and network topology.
- The proposed alternate layout significantly reduces investment costs compared to mean-flux layouts.
- Analytical predictions of network efficiency are validated through simulations.
Conclusions:
- A novel characterization of load fluctuations provides insights into network failure mechanisms.
- The proposed robustness layout offers a cost-effective strategy for improving network resilience.
- Considering load correlations is key for accurate prediction of network performance and stability.
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