10.1016/j.ress.2019.106665
Goharshady, Amir Kafshdar
Amir Kafshdar
Goharshady0000-0003-1702-6584
Mohammadi, Fatemeh
Fatemeh
Mohammadi
An efficient algorithm for computing network reliability in small treewidth
Elsevier
2020
2019-09-29T22:00:44Z
2020-01-21T12:05:09Z
journal_article
https://research-explorer.app.ist.ac.at/record/6918
https://research-explorer.app.ist.ac.at/record/6918.json
09518320
We consider the classic problem of Network Reliability. A network is given together with a source vertex, one or more target vertices, and probabilities assigned to each of the edges. Each edge of the network is operable with its associated probability and the problem is to determine the probability of having at least one source-to-target path that is entirely composed of operable edges. This problem is known to be NP-hard.
We provide a novel scalable algorithm to solve the Network Reliability problem when the treewidth of the underlying network is small. We also show our algorithmâ€™s applicability for real-world transit networks that have small treewidth, including the metro networks of major cities, such as London and Tokyo. Our algorithm leverages tree decompositions to shrink the original graph into much smaller graphs, for which reliability can be efficiently and exactly computed using a brute force method. To the best of our knowledge, this is the first exact algorithm for Network Reliability that can scale to handle real-world instances of the problem.