Latency-optimal communication in wireless mesh networks

  • Authors:
  • Qin Xin;Fredrik Manne

  • Affiliations:
  • Simula Research Laboratory, Oslo, Norway;Department of Informatics, The University of Bergen, Bergen, Norway

  • Venue:
  • APCC'09 Proceedings of the 15th Asia-Pacific conference on Communications
  • Year:
  • 2009

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Abstract

Wireless Mesh Networking (WMN) is an emerging communication paradigm to enable resilient, cost-efficient and reliable services for the future-generation wireless networks. We study the minimum-latency communication primitive of gossiping (all-to-all communication) in known topology WMNs, i.e., where the schedule of transmissions is pre-computed in advance based on full knowledge about the size and the topology of the Wireless Mesh Network (WMN). Each mesh node in the WMN is initially given a message and the objective is to design a minimum-latency schedule such that each mesh node distributes its message to all other mesh nodes. The problem of computing a minimumlatency gossiping schedule for a given WMN is NP-hard, hence it is only possible to get a polynomial approximation algorithm. In this paper, we show a deterministic approximation algorithm that can complete gossiping task in O(D + Δ log n/log Δ ) time units in any WMN of size n, diameter D, and maximum degree Δ. This is an asymptotically optimal schedule in the sense that there exists aWMN topology, specifically a Δ-regular tree, in which the gossiping task cannot be accomplished in less than Ω(D+ Δ log n/log Δ) units of time. Our algorithm also improves on currently best known gossiping schedule of length O(D + Δ log n/log Δ-log log n ) in [4].