The existing routing protection schemes are facing the following two problems: (1) the default path and the backup path contain a large number of common edges, such as ECMP and LFA; (2) in order to calculate two paths which have a small number of common edges, the shortest path cannot be used in the network, such as red-green tree method. To solve the above two problems, this study first describes the problem of computing backup paths and default paths as an integer programming model, and then a heuristic method is proposed to solve the problem. Next, the forwarding algorithm is introduced. Finally, the proposed algorithm is tested by simulation experiment and real experiment. Experiments show that the proposed algorithm not only has lower computational complexity, but also reduces the number of common edges contained in the default paths and the shortest paths, and greatly improve the network availability.