Analytical description of shared restoration capacity for mesh networks

We derive analytical expressions for the extra capacity requirements of mesh networks to ensure survivability against single-link failures. We study both shared link- and path-based restoration schemes and formulate the network global expectation value of extra capacity. We analyze a wide range of planar and toroid mesh networks using a linear programming optimization tool and find our analytic model in good agreement with the numerical simulation data. (c) 2005 Optical Society of America.