Open Access

On Connectivity Limits in Ad Hoc Networks with Beamforming Antennas

  • Moritz Kiese1,
  • Christian Hartmann1Email author,
  • Julian Lamberty1 and
  • Robert Vilzmann1
EURASIP Journal on Wireless Communications and Networking20092009:878419

Received: 2 December 2008

Accepted: 19 August 2009

Published: 2 December 2009


Multihop wireless networks will play an important role in future communication networks. Beamforming antennas have shown great potential to improve the connectivity in these networks; however only heuristic approaches exist to assess the benefits of this technology. Using the popular "keyhole" antenna model, we formulate a Mixed Integer Program (MIP) capable of acquiring optimal antenna configurations for path probability with various auxiliary constraints, node degree, and k-connectivity. We employ a problem-specific large-scale optimization approach named "column generation" to be able to cope with realistic scenario sizes without sacrificing optimality. In a case study, we show the feasibility of our optimization approach and demonstrate that "smarter" beamforming heuristics would still have plenty of room to improve the connectivity of such a network.

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Authors’ Affiliations

Institute of Communication Networks, Technische Universität München


© Moritz Kiese et al. 2009

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.