Skip to main content

Minimum Total Node Interference in Wireless Sensor Networks

  • Conference paper
Ad Hoc Networks (ADHOCNETS 2010)

Abstract

The approach of using topology control to reduce interference in wireless sensor networks has attracted attention of many researchers. There are several definitions of interference in the literature. In a wireless sensor network, the interference at a node may be caused by an edge that is transmitting data [16], or it occurs because the node itself is within the transmission range of another [2], [4], [7]. The interference load of a node is either the number of nodes in the broadcasting disk defined by this node or the number of nodes whose disks cover it [2], [4], [7]. In this paper we show that the problem of assigning power level to a set of nodes in the plane to yield a connected geometric graph whose total node interference is bounded is NP-complete under both definitions. We also introduce some heuristics as well as a simplified version of an O(logn) approximation algorithm in [10] and study their performance through simulation.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Benkert, M., Gudmundsson, J., Haverkort, H., Wolff, A.: Constructing Interference-Minimal Networks. In: Wiedermann, J., Tel, G., Pokorný, J., Bieliková, M., Štuller, J. (eds.) SOFSEM 2006. LNCS, vol. 3831, pp. 166–176. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  2. Bilò, D., Proietti, G.: On the Complexity of Minimizing Interference in Ad-Hoc and Sensor Networks. Theorectical Computer Science 402, 43–55 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  3. Buchin, K.: Minimizing the Maximum Interference is Hard (2008), http://arxiv.org/abs/0802.2134

  4. Burkhart, M., von Rickenbach, P., Wattenhofer, R., Zollinger, A.: Does Topology Control Reduce Interference? In: MOBIHOC 2004, pp. 9–19 (2004)

    Google Scholar 

  5. Cormen, T.H., Leiserson, C.E., Rivest, R.L., Stein, C.: Introduction to Algorithms. Section 23.2: The algorithms of Kruskal and Prim, pp. 567–574. Press and McGraw-Hill (2001) ISBN 0-262-03293-7

    Google Scholar 

  6. Dyer, M., Frieze, A.: Planar 2DM is NP-complete. Journal of Algorithms (7), 174–184 (1986)

    Google Scholar 

  7. Halldórsson, M.M., Tokuyama, T.: Minimizing Interference of a Wireless Ad-Hoc Network in a Plane. In: Nikoletseas, S.E., Rolim, J.D.P. (eds.) ALGOSENSORS 2006. LNCS, vol. 4240, pp. 71–82. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  8. Johansson, T., Carr-Motyckovaá, L.: Reducing Interference in Ad Hoc Networks Through Topology Control. In: DIALM-POMC 2005, pp. 17–23 (2005)

    Google Scholar 

  9. Moaveni-Nejad, K., Li, X.-Y.: Low-Interference Topology Control for Wireless Ad Hoc Networks. In: Ad Hoc and Wireless Sensor Networks, vol. 1, pp. 41–64 (2005)

    Google Scholar 

  10. Moscibroda, T., Wattenhofer, R.: Minimizing Interference in Ad Hoc and Sensor Networks. In: DIALM-POMC 2005 (2005)

    Google Scholar 

  11. Nguyen, T.N., Huynh, D.T.: Minimum Interference Planar Geometric Topology in Wireless Sensor Networks. In: Liu, B., Bestavros, A., Du, D.-Z., Wang, J. (eds.) Wireless Algorithms, Systems, and Applications. LNCS, vol. 5682, pp. 149–158. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  12. Rickenbach, P.V., Schmid, S., Wattenhofer, R., Zollinger, A.: A Roburst Interference Model for Wireless Ad-Hoc Networks. In: Proc. 19th IEEE Int. Par. and Dist. (2005)

    Google Scholar 

  13. Sharma, A., Thakral, N., Udgata, S., Pujari, A.: Heuristics for Minimizing Interference in Sensor Networks. In: Garg, V., Wattenhofer, R., Kothapalli, K. (eds.) ICDCN 2009. LNCS, vol. 5408, pp. 49–54. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  14. Nguyen, T., Lam, N., Huynh, D.: Minimum Edge Interference in Wireless Sensor Networks. To appear in Proc. of Intern. Conf. on Wireless Algorithms, Systems and Applications (2010)

    Google Scholar 

  15. Valiant, L.: Universality Considerations in VLSI Circuits. IEEE Trans. on Compupters C-30, 135–140 (1981)

    Article  MathSciNet  MATH  Google Scholar 

  16. Wu, K.-D., Liao, W.: On Constructing Low Interference Topology in Multihop Wireless Networks. Int. J. of Sensor Networks 2, 321–330 (2007)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2010 ICST Institute for Computer Science, Social Informatics and Telecommunications Engineering

About this paper

Cite this paper

Lam, N.X., Nguyen, T.N., Huynh, D.T. (2010). Minimum Total Node Interference in Wireless Sensor Networks. In: Zheng, J., Simplot-Ryl, D., Leung, V.C.M. (eds) Ad Hoc Networks. ADHOCNETS 2010. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 49. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17994-5_35

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-17994-5_35

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-17993-8

  • Online ISBN: 978-3-642-17994-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics