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Since the globe is connected tightly by internet, to react the disruption of internet services efficiently and fairly is very important, especially for those real time transactions. However, there is a lack of literature about it. To our best knowledge, this paper is the first try to explore issues under such conditions. A framework, which consists of the traffic rerouting programming, the capacity and cost inventory, and the policy of traffic priority, is proposed for the preparation. Based on the proposed framework, internet traffic under disruption may be rerouted through available capacities efficiently and fairly if the criteria are well established. It is proposed to serve the needs of post-disaster traffic management for both planning and operation sides.