Skip to main content

Some Distributed Algorithms for Quantized Consensus Problem

  • Conference paper
Emerging Intelligent Computing Technology and Applications (ICIC 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5754))

Included in the following conference series:

Abstract

In this paper, we propose some distributed algorithms for quantized consensus. These algorithms are used to study the distributed averaging problem on arbitrary connected graphs and arbitrary connected weighted graphs, with the additional constraint that the weight value at each node is an integer. These algorithms can guarantee the system achieve consensus with some moderate assumptions and can use to solve several application problems, such as averaging in a network with finite capacity channels and load balancing in a processor network, which can be modeled as distributed averaging problem.

This work was supported by National Nature Science Foundation of China under Grant 60674071.

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 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
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. Olfati-Saber, R., Murray, R.M.: Consensus problems in networks of agents with switching topology and time-delays. IEEE Trnsactions on Automatic Control 49(9), 1520–1533 (2004)

    Article  MathSciNet  Google Scholar 

  2. Akar, M., Shorten, R.: Time synchronization for wireless sensor networks. In: Proceedings of MTNS, pp. 221–225 (2006)

    Google Scholar 

  3. Boyd, S., Ghosh, A., Prabhakar, B., Shah, D.: Gossip algorithms Design, analysis and applications. In: Proceedings of IEEE Infocom, pp. 1653–1664 (2005)

    Google Scholar 

  4. Giridhar, A., Kumar, P.R.: Distributed clock synchronization over wireless networks: Algorithms and analysis. In: Proceedings of IEEE conference on decision and control, pp. 4915–4920 (2006)

    Google Scholar 

  5. Herlihy, M., Tirthapura, S.: Self-stabilizing smoothing and balancing networks. Distributed Computing 18(5), 345–357 (2005)

    Article  Google Scholar 

  6. Akshay, K., Tamer, B.: Quantized consensus. IEEE Transactions On Automatic (2007)

    Google Scholar 

  7. Houle, M.E., Symvonis, A., Wood, D.R.: Dimension-exchange algorithms for token distribution on tree-connected architectures. Journal of Parallel and Distributed Computing 64, 591–605 (2004)

    Article  MATH  Google Scholar 

  8. Ghosh, B., Leighton, F.T., Maggs, B.M., Muthukrishnan, S., Plaxton, C.G., Rajaraman, et al.: Tight analyses of two local load balancing algorithms. SIAM Journal of Computing 29(1), 29–64 (1999)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

He, J., Chen, W., Gao, L. (2009). Some Distributed Algorithms for Quantized Consensus Problem. In: Huang, DS., Jo, KH., Lee, HH., Kang, HJ., Bevilacqua, V. (eds) Emerging Intelligent Computing Technology and Applications. ICIC 2009. Lecture Notes in Computer Science, vol 5754. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04070-2_50

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-04070-2_50

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-04069-6

  • Online ISBN: 978-3-642-04070-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics