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Limitations of Current Wireless Scheduling Algorithms

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Algorithms for Sensor Systems (ALGOSENSORS 2015)

Part of the book series: Lecture Notes in Computer Science ((LNCCN,volume 9536))

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Abstract

We consider the problem of scheduling wireless links in the physical model, where we seek a partition of a given a set of wireless links into the minimum number of subsets satisfying the signal-to-interference-and-noise-ratio (SINR) constraints. We consider the two families of approximation algorithms that are known to guarantee \(O(\log {n})\) approximation for the scheduling problem, where n is the number of links. We present network constructions showing that the approximation ratios of those algorithms are no better than logarithmic, both in n and in \(\varDelta \), where \(\varDelta \) is a geometric parameter – the ratio of the maximum and minimum link lengths.

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Author information

Authors and Affiliations

  1. ICE-TCS, Reykjavik University, Reykjavik, Iceland

    Magnús M. Halldórsson, Christian Konrad & Tigran Tonoyan

Authors
  1. Magnús M. Halldórsson
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  2. Christian Konrad
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  3. Tigran Tonoyan
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Corresponding author

Correspondence to Tigran Tonoyan .

Editor information

Editors and Affiliations

  1. Carleton University, Ottawa, Ontario, Canada

    Prosenjit Bose

  2. University of Liverpool, Liverpool, United Kingdom

    Leszek Antoni Gąsieniec

  3. Graz University of Technology, Graz, Austria

    Kay Römer

  4. ETH Zurich, Zürich, Switzerland

    Roger Wattenhofer

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Halldórsson, M.M., Konrad, C., Tonoyan, T. (2015). Limitations of Current Wireless Scheduling Algorithms. In: Bose, P., Gąsieniec, L., Römer, K., Wattenhofer, R. (eds) Algorithms for Sensor Systems. ALGOSENSORS 2015. Lecture Notes in Computer Science(), vol 9536. Springer, Cham. https://doi.org/10.1007/978-3-319-28472-9_6

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  • DOI: https://doi.org/10.1007/978-3-319-28472-9_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-28471-2

  • Online ISBN: 978-3-319-28472-9

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