English

Converging an Overlay Network to a Gradient Topology

Systems and Control 2016-11-17 v1 Optimization and Control

Abstract

In this paper, we investigate the topology convergence problem for the gossip-based Gradient overlay network. In an overlay network where each node has a local utility value, a Gradient overlay network is characterized by the properties that each node has a set of neighbors with the same utility value (a similar view) and a set of neighbors containing higher utility values (gradient neighbor set), such that paths of increasing utilities emerge in the network topology. The Gradient overlay network is built using gossiping and a preference function that samples from nodes using a uniform random peer sampling service. We analyze it using tools from matrix analysis, and we prove both the necessary and sufficient conditions for convergence to a complete gradient structure, as well as estimating the convergence time and providing bounds on worst-case convergence time. Finally, we show in simulations the potential of the Gradient overlay, by building a more efficient live-streaming peer-to-peer (P2P) system than one built using uniform random peer sampling.

Keywords

Cite

@article{arxiv.1103.5678,
  title  = {Converging an Overlay Network to a Gradient Topology},
  author = {Håkan Terelius and Guodong Shi and Jim Dowling and Amir Payberah and Ather Gattami and Karl Henrik Johansson},
  journal= {arXiv preprint arXiv:1103.5678},
  year   = {2016}
}

Comments

Submitted to 50th IEEE Conference on Decision and Control (CDC 2011)

R2 v1 2026-06-21T17:46:19.286Z