Overlay Multicast Trees of Minimal Delay

  • Authors:
  • Anton Riabov;Zhen Liu;Li Zhang

  • Affiliations:
  • -;-;-

  • Venue:
  • ICDCS '04 Proceedings of the 24th International Conference on Distributed Computing Systems (ICDCS'04)
  • Year:
  • 2004

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Abstract

Overlay multicast (or application-level multicast) has become an increasingly popular alternative to IP-supported multicast. End nodes participating in overlay multicast can form a directed tree rooted at the source using existing unicast links. For each receiving node there is always only one incoming link. Very often, nodes can support no more than a fixed number ofoutgoing links due to bandwidth constraints. In this paper, we describe an algorithm for constructing a multicast tree with the objective of minimizing the maximum communication delay (i.e. the longest path in the tree), while satisfying degree constraints at nodes. We show that the algorithm is a constant-factor approximation algorithm. We further prove that the algorithm is asymptotically optimal if the communicating nodes can be mapped into Euclidean space such that the nodes are uniformly distributed in a convex region. We evaluate the performance of the algorithm using randomly generated configurations of up to 5,000,000 nodes.