Time bounds for periodic hypercube gossiping

  • Authors:
  • Philipp Berndt;Odej Kao

  • Affiliations:
  • Technische Universität, Berlin;Technische Universität, Berlin

  • Venue:
  • Proceedings of the 1st International Workshop on Worst-Case Traversal Time
  • Year:
  • 2011

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Abstract

Hypercube gossiping facilitates highly efficient data dissemination for a wide range of applications whereat live streaming, not limited to multimedia, marks the periodic exchange of data. Uses of periodic hypercube gossiping range from the estimation of system state vectors, such as object tracking or real-time business intelligence to audio communication. In such real-time applications, the ability to bound latency is of vital importance. Traversal time denotes the multi-hop latency between sending a data packet from a source node of the overlay network and receiving it at the destination node. It depends on the abstract communication complexity of the network topology, the physical properties of the underlay network, and last but not least, the timing mode employed in the algorithmic implementation of the high-level gossiping communication scheme. In this paper, we analyze the magnitude of worst-case latency for periodic gossiping in F1 mode on a binary hypercube overlay network. We show that, due to wait delay caused by data sojourning at intermediate overlay nodes, it is highly dependent on the timing or synchronization of the communication. We present four basic timing modes and derive worst case wait latency and traversal time bounds and compare these analytic measures to results from a simulation with a life-like network delay distribution derived from large-scale latency measurements.