Skip to main content

Conflict Graphs and the Capacity of the Mean Power Scheme

  • Conference paper
  • First Online:
Algorithms for Sensor Systems (ALGOSENSORS 2013)

Abstract

In this paper the capacity and scheduling problems for wireless networks are considered. It is shown that when using the mean power scheme for the capacity problem, the conflict graph based interference model approximates the SINR model within a constant factor of approximation. Such an approximation does not take place for the uniform and linear power schemes. Using this result, it is also shown that under certain assumptions on the underlying metric space, the mean power scheme yields shorter (asymptotically) schedules than the uniform and linear power schemes, for any set of links. This supports the theoretical evidence that the mean power scheme is more efficient and scalable to different network topologies than more traditional uniform and linear power schemes, and could be a better candidate for MAC protocols.

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 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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

References

  1. Grönkvist, J., Hansson, A.: Comparison between graph-based and interference-based STDMA scheduling. In: 2nd ACM International Symposium on Mobile Ad Hoc Networking and Computing, pp. 255–258 (2001)

    Google Scholar 

  2. Moscibroda, T., Wattenhofer, R., Yves, W.: Protocol design beyond graph-based models. In: 5th ACM SIGCOMM Workshop on Hot Topics in Networks (2006)

    Google Scholar 

  3. Behzad, A., Rubin, I.: On the performance of graph-based scheduling algorithms for packet radio networks. In: IEEE Global Telecommunications Conference, pp. 3432–3436 (2003)

    Google Scholar 

  4. Chafekar, D., Kumar, V.S.A., Marathe, M.V., Parthasarathy, S., Srinivasan, A.: Approximation algorithms for computing capacity of wireless networks with SINR constraints. In: 27th IEEE International Conference on Computer Communications, pp. 1166–1174 (2008)

    Google Scholar 

  5. Halldórsson, M.M.: Wireless scheduling with power control. ACM Trans. Algorithms 9(1), 7 (2012)

    MathSciNet  Google Scholar 

  6. Tonoyan, T.: Comparing schedules in the SINR and conflict-graph models with different power schemes. In: 12th International Conference on Ad Hoc Networks and Wireless, pp. 317–328 (2013)

    Google Scholar 

  7. Tonoyan, T.: On the capacity of oblivious powers. In: 7th International Symposium on Algorithms for Sensor Systems, Wireless Ad Hoc Networks and Autonomous Mobile Entities, pp. 225–237 (2012)

    Google Scholar 

  8. Halldórsson, M.M., Holzer, S., Mitra, P., Wattenhofer, R.: The power of non-uniform wireless power. In: 24th Annual ACM-SIAM Symposium on Discrete Algorithms, pp. 1595–1606 (2013)

    Google Scholar 

  9. Rappaport, T.S.: Wireless Communications: Principles and Practice, 2nd edn. Prentice Hall, Upper Saddle River (2002)

    Google Scholar 

  10. Heinonen, J.: Lectures on Analysis on Metric Spaces, 1st edn. Springer, New York (2000)

    Google Scholar 

  11. Halldórsson, M.M., Mitra, P.: Wireless capacity with oblivious power in general metrics. In: 22nd Annual ACM-SIAM Symposium on Discrete Algorithms, pp. 1538–1548 (2011)

    Google Scholar 

  12. Halldórsson, M.M., Wattenhofer, R.: Wireless communication is in APX. In: 36th International Colloquium on Automata, Languages and Programming, pp. 525–536 (2009)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Tigran Tonoyan .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Tonoyan, T. (2014). Conflict Graphs and the Capacity of the Mean Power Scheme. In: Flocchini, P., Gao, J., Kranakis, E., Meyer auf der Heide, F. (eds) Algorithms for Sensor Systems. ALGOSENSORS 2013. Lecture Notes in Computer Science(), vol 8243. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45346-5_20

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-45346-5_20

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-45345-8

  • Online ISBN: 978-3-642-45346-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics