On the Identifiability of Link Service Curves from End-Host Measurements
- 390 Downloads
We estimate service curves of network internal links from end-host measurements of probing traffic. Our approach belongs to the field of network tomography, which deals with the fundamental challenge of identifiability in a priori under-determined network equation systems. As opposed to recent methods that estimate sole quantities, such as delay and bandwidth, we characterize links using the more generic concept of service curve that comprises various derived quantities including the ones mentioned above. Key to our solution is the Legendre-Fenchel transform that achieves additivity of link service curves. Our measurement results reveal that the burstiness of cross traffic flows, which has significant impact on the shape of leftover service curves, can be attributed to individual links. Using the network calculus we show fundamental limits of certain tomography approaches regarding the identification of propagation delays as well as regarding the resolution of post-narrow links.
KeywordsIndividual Link Path Measurement Small Packet Bandwidth Estimate Network Tomography
Unable to display preview. Download preview PDF.
- 6.Fidler, M., Schmitt, J.B.: On the way to a distributed systems calculus: A network calculus with data scaling. In: ACM SIGMETRICS, June 2006, pp. 287–298 (2006)Google Scholar
- 7.Harfoush, K., Bestavros, A., Byers, J.: Measuring bottleneck bandwidth of targeted path segments. In: IEEE INFOCOM, April 2003, pp. 2079–2089 (2003)Google Scholar
- 9.Lai, K., Baker, M.: Measuring link bandwidths using a deterministic model of packet delay. In: ACM SIGCOMM, October 2000, pp. 283–294 (2000)Google Scholar
- 11.Lhommeau, M., Hardouin, L., Ferrier, J.-L., Ouerghi, I.: Interval analysis in dioid: Application to robust open-loop control for timed event graphs. In: CDC - ECC 2005, December 2005, pp. 7744–7749 (2005)Google Scholar
- 12.Liebeherr, J., Fidler, M., Valaee, S.: Min-plus system interpretation of bandwidth estimation. In: Proc. IEEE INFOCOM (May 2007)Google Scholar
- 13.Liebeherr, J., Fidler, M., Valaee, S.: A system theoretic approach to bandwidth estimation. Technical Report arXiv:0801.0455v1 (January 2008)Google Scholar
- 15.Pasztor, A., Veitch, D.: Active probing using packet quartets. In: ACM IMC, November 2002, pp. 293–305 (2002)Google Scholar
- 18.Rizk, A.: Network tomography using min-plus system theory. Master’s thesis, TU Darmstadt (March 2008)Google Scholar