A deterministic approach for rapid identification of the critical links in networks

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Authors

VODÁK Rostislav BÍL Michal SVOBODA Tomáš KŘIVÁNKOVÁ Zuzana KUBEČEK Jan REBOK Tomáš HLINĚNÝ Petr

Year of publication 2019
Type Article in Periodical
Magazine / Source PLOS ONE
MU Faculty or unit

Institute of Computer Science

Citation
Web
Doi http://dx.doi.org/10.1371/journal.pone.0219658
Keywords road networks; road network disruptions; road traffic collisions; transportation; graph algorithms
Description We introduce a rapid deterministic algorithm for identification of the most critical links which are capable of causing network disruptions. The algorithm is based on searching for the shortest cycles in the network and provides a significant time improvement compared with a common brute-force algorithm which scans the entire network. We used a simple measure, based on standard deviation, as a vulnerability measure. It takes into account the importance of nodes in particular network components. We demonstrate this approach on a real network with 734 nodes and 990 links. We found the worst scenarios for the cases with and without people living in the nodes. The evaluation of all network breakups can provide transportation planners and administrators with plenty of data for further statistical analyses. The presented approach provides an alternative approach to the recent research assessing the impacts of simultaneous interruptions of multiple links.
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