Abstract: A method and system are provided for computing an optimal restoration capacity and/or optimal restoration paths for a network to resolve a restoration scenario by solving a linear program (LP) model. The LP model includes decision variables corresponding to restoration capacity and restoration paths and constraints requiring restoration of traffic and conservation of capacity in the network. For example, the system determines a set of network paths that need to be restored in the network, preprocesses network data corresponding to the network to reduce LP processing workload and time; generates possible restoration paths and solves the LP model, preferably through column generation methods, to determine the optimal restoration capacity and/or the optimal restoration paths to resolve the restoration scenario; changes the LP solution into integer form, as necessary, and changes the LP solution in integer form to the original format of the network data or an equivalent thereof.