Abstract
In this paper we present a collection of combinatorial optimization problems that allows to assess the vulnerability of spatial networks in the presence of disruptions. The proposed measures of vulnerability along with the model of failure are suitable in many applications where the consideration of failures in the transportation system is crucial. By means of computational results, we show how the proposed methodology allows us to find useful information regarding the capacity of a network to resist disruptions and under which circumstances the network collapses.
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Acknowledgements
This research was supported by Fondecyt Project #1121095, CONICYT, Ministerio de Educación, Chile. Eduardo Álvarez-Miranda thanks the Institute of Advanced Studies of the Università di Bologna from where he is a PhD Fellow.
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Álvarez-Miranda, E., Candia-Véjar, A., Carrizosa, E., Pérez-Galarce, F. (2014). Vulnerability Assessment of Spatial Networks: Models and Solutions. In: Fouilhoux, P., Gouveia, L., Mahjoub, A., Paschos, V. (eds) Combinatorial Optimization. ISCO 2014. Lecture Notes in Computer Science(), vol 8596. Springer, Cham. https://doi.org/10.1007/978-3-319-09174-7_37
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DOI: https://doi.org/10.1007/978-3-319-09174-7_37
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