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In this paper, we propose a proactive recovery method against multiple network failures for large-scale packet switching networks. The proposed method exploits the overlay networking technique. Specifically, it constructs multiple logical network topologies from the original overlay network topology by assuming various failure patterns. When a failure is detected, our method selects one topology. Consequently, it can immediately recover from the failure by utilizing the selected topology without waiting for routing convergence in the network. When constructing multiple logical topologies, we take into account the correlation among overlay links in terms of the underlay links, and we merge multiple logical topologies into a single topology to decrease the number of topologies while keeping the recovery efficiency. Through the numerical evaluation results of the network reachability and average path length, we show that our method improves network reachability from 69% to 99% while keeping the path length short, when 5% underlay links are simultaneously down.