Abstract
We study the cell loss rates in a multistage ATM switch. We present some numerical computations for small configurations which prove that first order approximation may not be accurate. We present stochastic bounds for these loss rates using simple arguments which lead to models easier to solve. For ill-balanced configurations these models give good estimates of loss rates.
This work is partially supported by CNRS, Gdr PRS and a grant from CNET.
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References
A.L. Beylot, Modéles de Trafics et de Commutateurs pour l'Evaluation de la Perte et du Délai dans les Réseaux ATM, Phd thesis, Université Paris 6, 1993.
M. Doisy, Comparison de Processus Markoviens, Ph-D thesis, Univ. de Pau et des Pays de l'Adour, 1992.
J.-M. Fourneau, N. Pekergin, and H. Taleb, An Application of Stochastic Ordering to the Analysis of the Push-Out mechanism, in “Performance Modelling and Evaluation of ATM Networks”, Chapman-Hall, London, 1995, (Ed. D. Kouvatsos).
W.K. Grassman, M.I. Taksar et D.P. Heyman, Regenerative analysis and steady state distributions for Markov chains, Oper. Res., 1985, V13, P1107–1116.
D.P. Heymann, Further comparisons of direct methods for computing stationary distributions of Markov chains, Siam J. Alg. Disc. Meth., Vol. 8, N 2, (April 1987) 226–232.
W.J. Stewart, Introduction to the Numerical Solution of Markov Chains, Princeton University Press, 1994.
D. Stoyan, Comparison Methods for Queues and Other Stochastic Models, Wiley, New York, 1983.
L. Truffet, Méthodes de Calcul de Bornes Stochastiques sur des Modèles de Systèmes et de Réseaux, Phd thesis, Université Paris 6, 1995.
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© 1997 Springer-Verlag Berlin Heidelberg
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Fourneau, J.M., Mokdad, L., Pekergin, N. (1997). Bounding the loss rates in a multistage ATM switch. In: Marie, R., Plateau, B., Calzarossa, M., Rubino, G. (eds) Computer Performance Evaluation Modelling Techniques and Tools. TOOLS 1997. Lecture Notes in Computer Science, vol 1245. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0022207
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DOI: https://doi.org/10.1007/BFb0022207
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