Journal
RELIABILITY ENGINEERING & SYSTEM SAFETY
Volume 183, Issue -, Pages 276-280Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.ress.2018.11.020
Keywords
Robustness; Complex networks; Optimization; MILP
Funding
- Spanish Ministry of economy and competitiveness [MTM2015-63779-R]
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Finding the most critical nodes regarding network connectivity has attracted the attention of many researchers in infrastructure networks, power grids, transportation networks and physics in complex networks. Static robustness of networks under intentional attacks analyses the ability of a system to maintain its connectivity after the disconnection or deletion of a series of targeted nodes. In this context, connectivity is typically measured by the size of the remaining largest connected component. When targeting these nodes, previous literature has mostly used adaptive strategies that sequentially remove central nodes, or created heuristics in order to improve the results of the adaptive strategies. The proposed methodology based on mathematical programming allows to identify, for every fraction of disconnected or removed nodes, the set that minimizes the size of the largest connected component of a network, i.e. it allows to calculate the exact (most critical) robustness of a network.
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