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  • Research Article
  • Open Access

On Connectivity Limits in Ad Hoc Networks with Beamforming Antennas

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  • 1Email author,
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EURASIP Journal on Wireless Communications and Networking20092009:878419

  • Received: 2 December 2008
  • Accepted: 19 August 2009
  • Published:


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.


  • Optimization Approach
  • Mixed Integer Program
  • Node Degree
  • Heuristic Approach
  • Column Generation

Publisher note

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Authors’ Affiliations

Institute of Communication Networks, Technische Universität München, Arcisstraße 21, 80290 München, Germany


© 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.