Abstract
In this paper we use a multivariate Markov Modulated Fluid Flow model to study the loss process for a bufferless transmission link. We propose a method for the analysis of moments and correlations of congestion periods and cumulative amount of lost bits and lost packets from different sources. Such knowledge is useful for the encoding of voice and video. Then we demonstrate how the proposed method can be used for the analysis of capacity sharing policies.
Centre for Quantifiable Quality of Service in Communication Systems is a Centre of Excellence appointed by the Research Council of Norway and funded by the Research Council, NTNU and UNINETT, http://www.q2s.ntnu.no.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Knightly, E.W., Shroff, N.B.: Admission Control for Statistical QoS: Theory and Practice. IEEE Network 13(2), 20–29 (1999)
Haßlinger, G., Hartleb, F., Fiedler, M.: The Relevance of the Bufferless Analysis for Traffic Management in Telecommunication Networks, Proc. IEEE European Conference on Universal Multiservice Networks, Colmar, France, pp. 823–827 (2000)
Haßlinger, G., Fiedler, M.: Why buffers in routing and switching systems do not essentially improve QoS: An analytical case study for aggregated On-Off traffic, Internet performance & Control of Network Systems. In: SPIE, Vol. 4865, pp. 47–58 (2002)
Haßlinger, G., Takes, P.: Real Time Video Traffic Characteristics and Dimensioning Regarding QOS Demands. In: Proc. of ITC-18, pp. 1211–1220 (2003)
Cinlar, E.: Introduction to Stochastic Processes. Prentice-Hall, Englewood Cliffs (1975)
Ezhov, I.I., Skorokhod, A.V.: Markov processes with homogeneous second component, Theory of Probability and Its Applications. Part I, vol. 14(1), pp. 1–13, Part II, vol. 14(4), pp. 652–667 (1969)
Ferrandiz, J.M.: Analysis of Fluid Buffer Models with Markov Modulated Rates. Hewlett-Packard Laboratories, Technical report HPLB-NSMG-92-8 (1992)
Latouche, G., Ramaswami, V.: Introduction to Matrix Analytic Methods in Stochastic Modeling. SIAM (1999)
Neuts, M.F.: Matrix-Geometric Solutions in Stochastic Models—An Algorithmic Approach. The Johns Hopkins University Press, Baltimore (1981)
Osagami, T., Harchol-Balter, M.: A Closed-Form Solution for Mapping General Distributions to Minimal PH Distribution. In: Kemper, P., Sanders, W.H. (eds.) TOOLS 2003. LNCS, vol. 2794, pp. 200–217. Springer, Heidelberg (2003)
Bobbio, A., Horváth, A., Telek, M.: Matching three moments with minimal acyclic phase type distributions. Stochastic Models 21, 303–326 (2005)
Berman, A., Plemmons, R.J.: Nonnegative Matrices in the Mathematical Sciences. Academic Press, NY (1979)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2007 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Naumov, V.A., Emstad, P.J. (2007). Analysis of Losses in a Bufferless Transmission Link. In: Mason, L., Drwiega, T., Yan, J. (eds) Managing Traffic Performance in Converged Networks. ITC 2007. Lecture Notes in Computer Science, vol 4516. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72990-7_79
Download citation
DOI: https://doi.org/10.1007/978-3-540-72990-7_79
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-72989-1
Online ISBN: 978-3-540-72990-7
eBook Packages: Computer ScienceComputer Science (R0)