Network Virtualization can be used to map a virtual network (VN) on a substrate network (SN) while accounting for possible substrate failures, known as the Survivable Virtual Network Embedding (SVNE) problem. The VN can be equipped with sufficient spare backup capacity to sustain the Quality of Service during substrate failures, and the resulting VN may be equipped accordingly. The present application discloses jointly optimizing spare backup capacity allocation and embedding a VN to provide full bandwidth in the presence of a single substrate link failure. A solution may be formulated as a Quadratic Integer Program that can be further transformed into an Integer Linear Program, or as a heuristic.