In this paper, a method for calculating blocking experienced by dynamic multicast connections in a single link is presented. A service center at the root of a tree-type network provides a number of channels distributed to the users by multicast trees which evolve dynamically as users join and leave the channels. We reduce this problem to a generalized Engset system with nonidentical users and generally distributed holding times, and derive the call and channel blocking probabilities as well as the link occupancy distribution. Keywords Multicast, blocking, queueing systems, generalized Engset system
Jouni Karvo, Jorma T. Virtamo, Samuli Aalto, Olli