Exact calculation of network robustness

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...

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Detalles Bibliográficos
Autores: Lordan González, Oriol|||0000-0002-7376-5253, Albareda Sambola, Maria|||0000-0002-7666-6218
Tipo de recurso: artículo
Fecha de publicación:2019
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/127186
Acceso en línea:https://hdl.handle.net/2117/127186
https://dx.doi.org/10.1016/j.ress.2018.11.020
Access Level:acceso abierto
Palabra clave:Network analysis (Planning)
Mathematical optimization
System analysis
Robustness
Complex networks
Optimization
MILP
Anàlisi de xarxes (Planificació)
Optimització matemàtica
Anàlisi de sistemes
Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Optimització
Àrees temàtiques de la UPC::Economia i organització d'empreses::Direcció d'operacions
Descripción
Sumario: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.