Skip to main content

Origin–Destination Flow Measurement

  • Chapter
  • First Online:
Traffic Measurement on the Internet

Part of the book series: SpringerBriefs in Computer Science ((BRIEFSCOMPUTER))

  • 697 Accesses

Abstract

This chapter presents an efficient approach for origin–destination flow measurement in high-speed networks, where an origin–destination (OD) flow between two routers is the set of packets that pass both routers. The OD flow measurement has wide usage in many network management applications. We consider two performance metrics, measurement efficiency and accuracy. The former requires measurement functions to minimize per-packet processing overhead in order to keep up with the line speeds of today’s high-speed networks. The latter requires measurement functions to achieve accurate measurement results with small bias and standard deviation. We present a novel measurement method that employs a compact data structure for packet information storage and uses a new statistical inference approach for OD flow measurement. Both simulations and experiments are performed to demonstrate the effectiveness of our method. The rest of this chapter is organized as follows: Section 4.1 gives the problem statement and performance metrics. Section 4.2 presents a novel origin-destination flow measurement method. Section 4.3 discusses the simulation results. Section 4.4 presents the experimental results. Section 4.5 describes other related methods. Section 4.6 gives the summary.

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 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

Notes

  1. 1.

    The fisher information [13] is a way of measuring the amount of information that an observable random variable \(x\) carries about an unknown parameter \(\theta \) upon which the likelihood function of \(\theta \), \(L(\theta )=f(x;\theta )\), depends.

References

  1. Abilene Update. http://www.internet2.edu/presentations/spring03/20030410-Abilene-Corbato.pdf (2003)

  2. Abilene Network. http://en.wikipedia.org/wiki/Abilene_Network (2011)

  3. Bryc, W.: The normal distribution: characterizations with applications. Springer,New York (1995)

    Google Scholar 

  4. Cao, J., Chen, A., Bu, T.: A quasi-likelihood approach for accurate traffic matrix estimation in a high speed network. In: Proceedings of IEEE INFOCOM (2008)

    Google Scholar 

  5. Cao, J., Davis, D., Wiel, S.V., Yu, B.: Time-varying network tomography. J. Amer. Statist. Assoc. 95, 1063–1075 (2000)

    Google Scholar 

  6. Casella, G., Berger, R.L.: Statistical Inference, 2nd ed. Duxbury Press, Pacific Grove (2002)

    Google Scholar 

  7. Coates, M., Hero, A., Nowak, R., Yu, B.: Internet tomography. IEEE Signal Process. Mag. 19(3), 47–65 (2002)

    Google Scholar 

  8. Considine, J., Li, F., Kollios, G., Byers, J.: Approximate aggregation techniques for sensor databases. In: Proceedings of the 20th International Conference on Data Engineering (ICDE) (2004)

    Google Scholar 

  9. Duffield, N.G., Grossglauser, M.: Trajectory sampling for direct traffic observation. In: Proceedings of ACM SIGCOMM (2000)

    Google Scholar 

  10. Feldmann, A., Greenberg, A.G., Lund, C., Reingold, N., Rexford, J., True, F.: Deriving traffic demands for operational IP networks: methodology and experience. In: Proceedings of ACM SIGCOMM (2000)

    Google Scholar 

  11. Flajolet, G.: Probabilistic counting. In: Proceedings of Symposium on Fundations of Computer Science (FOCS) (1983)

    Google Scholar 

  12. Hwang, K., Vander-Zanden, B., Taylor, H.: A linear-time probabilistic counting algorithm for database applications. ACM Trans. Database Syst. 15(2), 208–229 (1990)

    Google Scholar 

  13. Lehmann, E., Casella, G.: Theory of Point Estimation. Springer Press, New York (1998)

    Google Scholar 

  14. Liang, G., Yu, B.: Maximum pseudo likelihood estimation in network tomography. IEEE Trans. Signal Process. 51, 2043–2053 (2003)

    Google Scholar 

  15. Medina, A., Taft, N., Salamatian, K., Bhattacharyya, S., Diot, C.: Traffic matrix estimation: existing techniques and new directions. In: Proceedings of ACM SIGCOMM (2002)

    Google Scholar 

  16. Newey, W., McFadden, D.: Large sample estimation and hypothesis testing. Dan. Handb. Econom. 4, 2111–2245 (1994)

    Google Scholar 

  17. Nucci, A., Cruz, R., Taft, N., Diot, C.: Design of igp link weight changes for estimation of traffic matrices. In: Proceedings of IEEE INFOCOM (2004)

    Google Scholar 

  18. Rincon, D., Roughan, M., Willinger, W.: Towards a meaningful MRA of traffic matrices. In: Proceedings of ACM SIGCOMM IMC (2008)

    Google Scholar 

  19. Roughan, M., Greenberg, A., Kalmanek, C., Rumsewicz, M., Yates, J., Zhang, Y.: Experience in measuring backbone traffic variability: models, metrics, measurements and meaning. In: Proceedings of ACM SIGCOMM Internet Measurement, Workshop (2002)

    Google Scholar 

  20. Soule, A., Nucci, A., Cruz, R., Leonardi, E., Taft, N.: How to identify and estimate the largest traffic matrix elements in a dynamic environment. In: Proceedings of ACM Sigmetrics (2004)

    Google Scholar 

  21. : National Institute of Standard and Technology: FIPS 180–1: Secure Hash Standard. http://csrc.nist.gov (1995)

  22. Zhang, Y.: 6 months of Abilene traffic matrices. http://www.cs.utexas.edu/yzhang/research/AbileneTM/ (2004)

  23. Zhang, Y., Roughan, M., Duffield, N., Greenberg, A.: Fast accurate computation of large-scale ip traffic matrices from link loads. In: Proceedings of ACM SIGMETRICS (2003)

    Google Scholar 

  24. Zhang, Y., Roughan, M., Lund, C., Donoho, D.: An informationtheoretic approach to traffic matrix estimation. In: Proceedings of ACM SIGCOMM (2003)

    Google Scholar 

  25. Zhang, Y., Roughan, M., Lund, C., Donoho, D.: Estimating point-to-point and point-to-multipoint traffic matrices: an information-theoretic approach. IEEE/ACM Trans. netw. 13(5), 947–960 (2005)

    Google Scholar 

  26. Zhang, Y., Roughan, M., Willinger, W., Qiu, L.: Spatio-temporal compressive sensing and internet traffic matrices. In: Proceedings of ACM SIGCOMM (2009)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to T. Li .

Rights and permissions

Reprints and permissions

Copyright information

© 2012 The Author(s)

About this chapter

Cite this chapter

Li, T., Chen, S. (2012). Origin–Destination Flow Measurement. In: Traffic Measurement on the Internet. SpringerBriefs in Computer Science. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-4851-8_4

Download citation

  • DOI: https://doi.org/10.1007/978-1-4614-4851-8_4

  • Published:

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4614-4850-1

  • Online ISBN: 978-1-4614-4851-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics