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Interference Minimization in Asymmetric Sensor Networks

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Algorithms for Sensor Systems (ALGOSENSORS 2014)

Part of the book series: Lecture Notes in Computer Science ((LNCCN,volume 8847))

Abstract

A fundamental problem in wireless sensor networks is to connect a given set of sensors while minimizing the receiver interference. This is modeled as follows: each sensor node corresponds to a point in \({\mathbb R}^d\) and each transmission range corresponds to a ball. The receiver interference of a sensor node is defined as the number of transmission ranges it lies in. Our goal is to choose transmission radii that minimize the maximum interference while maintaining a strongly connected asymmetric communication graph.

For the two-dimensional case, we show that it is NP-complete to decide whether one can achieve a receiver interference of at most \(5\). In the one-dimensional case, we prove that there are optimal solutions with nontrivial structural properties. These properties can be exploited to obtain an exact algorithm that runs in quasi-polynomial time. This generalizes a result by Tan et al. to the asymmetric case.

KB supported in part by the Netherlands Organisation for Scientific Research (NWO) under project no. 612.001.207. WM supported in part by DFG Grants MU 3501/1 and MU 3502/2.

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Acknowledgments

We would like to thank Maike Buchin, Tobias Christ, Martin Jaggi, Matias Korman, Marek Sulovský, and Kevin Verbeek for fruitful discussions.

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Authors and Affiliations

  1. ETH Zürich, Zurich, Switzerland

    Yves Brise & Michael Hoffmann

  2. TU Eindhoven, Eindhoven, The Netherlands

    Kevin Buchin

  3. FU Berlin, Berlin, Germany

    Dustin Eversmann & Wolfgang Mulzer

Authors
  1. Yves Brise
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  2. Kevin Buchin
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  3. Dustin Eversmann
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  4. Michael Hoffmann
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  5. Wolfgang Mulzer
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Corresponding author

Correspondence to Wolfgang Mulzer .

Editor information

Editors and Affiliations

  1. Stony Brook University, Stonybrook, New York, USA

    Jie Gao

  2. University of Arizona, Tucson, Arizona, USA

    Alon Efrat

  3. TU Braunschweig, Braunschweig, Niedersachsen, Germany

    Sándor P. Fekete

  4. Rutgers University, New Brunswick, New Jersey, USA

    Yanyong Zhang

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Brise, Y., Buchin, K., Eversmann, D., Hoffmann, M., Mulzer, W. (2015). Interference Minimization in Asymmetric Sensor Networks. In: Gao, J., Efrat, A., Fekete, S., Zhang, Y. (eds) Algorithms for Sensor Systems. ALGOSENSORS 2014. Lecture Notes in Computer Science(), vol 8847. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-46018-4_9

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  • DOI: https://doi.org/10.1007/978-3-662-46018-4_9

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-46017-7

  • Online ISBN: 978-3-662-46018-4

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