Analytical rate optimization for multicast

We consider the problem of multicast rate optimization for a given number of multicast groups. The efficient solution of this problem is particularly relevant for video multicast. Motivated by practical considerations, such as the need for adaptivity to changing network conditions, we develop an analytical solution that minimizes the expected distortion of a receiver. Unlike previous work, we recognize variability in existing networks and model the receiver reception capacities by a continuous stochastic variable. Our analytical solution is optimal under the assumption of a large number of multicast groups. We investigate the distortion overhead when this assumption is not satisfied and find that it is low. We compare our results to the state of the art, iterative optimization for a realization of receiver reception capacities, and find that our analytical solution performs better for any number of multicast groups.