A lagrangian approach for the optimal placement of wireless relay nodes in wireless local area networks

  • Authors:
  • Aaron So;Ben Liang

  • Affiliations:
  • Department of Electrical and Computer Engineering, University of Toronto, Toronto, Ontario, Canada;Department of Electrical and Computer Engineering, University of Toronto, Toronto, Ontario, Canada

  • Venue:
  • NETWORKING'06 Proceedings of the 5th international IFIP-TC6 conference on Networking Technologies, Services, and Protocols; Performance of Computer and Communication Networks; Mobile and Wireless Communications Systems
  • Year:
  • 2006

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Abstract

The throughput capacity of WLANs can be improved by a carefully designed relay infrastructure. In this work, we propose an optimization formulation based on Lagrangian relaxation and a subgradient algorithm to compute the best placement of a fixed number of relay nodes (RNs) in a WLAN. We apply this optimization framework to a multi-rate WLAN based on the IEEE 802.11g standard under Rayleigh fading. We then study the expected throughput capacity of a WLAN with relay infrastructure and investigate how the optimal placement of RNs is affected by the number of RNs, path-loss characteristics, and the traffic pattern. Our numerical results show that, in some network scenarios, more than 120% performance gain can be achieved when RNs are strategically installed in the network. Furthermore, we also show that for a wide range of system parameters, optimally placed RNs can significantly increase the network throughput capacity over random placement.