Multicast Routing with End-to-End Delay and Delay Variation Constraints

We study the problem of constructing multicast trees to meet the quality of service requirements of real-time, interactive applications operating in high-speed packet-switched environments. In particular, we assume that multicast communication depends on (a) bounded delay along the paths from the source to each destination, and (b) bounded variation among the delays along these paths. We rst establish that the problem of determining such a constrained tree is NP-complete. We then derive heuristics that demonstrate good average case behavior in terms of the maximum inter-destination delay variation of the nal tree. We also show how to dynamically reorganize the initial tree in response to changes in the destination set, in a way that is minimally disruptive to the multicast session.