Skip to main content

An Efficient Decentralized Algorithm for the Distributed Trigger Counting Problem

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6522))

Abstract

Consider a distributed system with n processors, in which each processor receives some triggers from an external source. The distributed trigger counting problem is to raise an alert and report to a user when the number of triggers received by the system reaches w, where w is a user-specified input. The problem has applications in monitoring, global snapshots, synchronizers and other distributed settings. The main result of the paper is a decentralized and randomized algorithm with expected message complexity O(nlogn logw). Moreover, every processor in this algorithm receives no more than O(logn logw) messages with high probability. All the earlier algorithms for this problem have maximum message load of Ω(n logw).

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

Buying options

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 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Awerbuch, B.: Complexity of network synchronization. J. ACM 32(4), 804–823 (1985)

    Article  MathSciNet  MATH  Google Scholar 

  2. Chang, E.: Echo algorithms: Depth parallel operations on general graphs. IEEE Trans. Software Eng. 8(4), 391–401 (1982)

    Article  Google Scholar 

  3. Cormode, G., Muthukrishnan, S., Yi, K.: Algorithms for distributed functional monitoring. In: SODA (2008)

    Google Scholar 

  4. Garg, R., Garg, V.K., Sabharwal, Y.: Scalable algorithms for global snapshots in distributed systems. In: 20th Int. Conf. on Supercomputing, ICS (2006)

    Google Scholar 

  5. Garg, V., Ghosh, J.: Repeated computation of global functions in a distributed environment. IEEE Trans. Parallel Distrib. Syst. 5(8), 823–834 (1994)

    Article  Google Scholar 

  6. Huang, L., Garofalakis, M., Joseph, A., Taft, N.: Communication-efficient tracking of distributed cumulative triggers. In: ICDCS (2007)

    Google Scholar 

  7. Keralapura, R., Cormode, G., Ramamirtham, J.: Communication-efficient distributed monitoring of thresholded counts. In: SIGMOD Conference (2006)

    Google Scholar 

  8. Mitzenmacher, M., Upfal, E.: Probability and Computing: Randomized Algorithms and Probabilistic Analysis. Cambridge Univ. Press, Cambridge (2005)

    Book  MATH  Google Scholar 

  9. Segall, A.: Distributed network protocols. IEEE Transactions on Information Theory 29(1), 23–34 (1983)

    Article  MathSciNet  MATH  Google Scholar 

  10. Tel, G.: Distributed infimum approximation. In: Lupanov, O.B., Bukharajev, R.G., Budach, L. (eds.) FCT 1987. LNCS, vol. 278, pp. 440–447. Springer, Heidelberg (1987)

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Chakaravarthy, V.T., Choudhury, A.R., Garg, V.K., Sabharwal, Y. (2011). An Efficient Decentralized Algorithm for the Distributed Trigger Counting Problem. In: Aguilera, M.K., Yu, H., Vaidya, N.H., Srinivasan, V., Choudhury, R.R. (eds) Distributed Computing and Networking. ICDCN 2011. Lecture Notes in Computer Science, vol 6522. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17679-1_5

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-17679-1_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-17678-4

  • Online ISBN: 978-3-642-17679-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics