Network Recovery and Augmentation under Geographically Correlated Region Failures

The network infrastructures are under the threat of large-scale disruptions, both natural (like earthquake, flooding) and intentional (like EMP attack, bomb explosion). In such scenarios, a number of network elements are likely to be destroyed simultaneously when they are intersected in a geographically correlated region, and thus may dramatically compromise the connectivity or even disconnect the network. In this paper we focus on the issue of providing continuous communication against region failure. We define two optimization problems: the first problem considers effective connection recovery when a disruptive event happens, and the second one studies network augmentation to build a resilient network against any single region failure. We prove that both problems are NP-hard, and then propose two heuristic algorithms to solve these optimization problems.