On connectivity limits in ad hoc networks with beamforming antennas

  • Authors:
  • Moritz Kiese;Christian Hartmann;Julian Lamberty;Robert Vilzmann

  • Affiliations:
  • Institute of Communication Networks, Technische Universität München, München, Germany;Institute of Communication Networks, Technische Universität München, München, Germany;Institute of Communication Networks, Technische Universität München, München, Germany;Institute of Communication Networks, Technische Universität München, München, Germany

  • Venue:
  • EURASIP Journal on Wireless Communications and Networking - Special issue on optimization techniques in wireless communications
  • Year:
  • 2009

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Abstract

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.