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Yugoslav Journal of Operations Research 2002, vol. 12, br. 2, str. 167-184
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Computing the bounds on the loss rates
(naslov ne postoji na srpskom)
aPRiSM, Université de Versailles Saint-Quentin, France bLAMSADE, Université de Paris Dauphine, France cCERMSEM, Université de Paris I Sorbonne, France
Sažetak(ne postoji na srpskom) We consider an example network where we compute the bounds on cell loss rates. The stochastic bounds for these loss rates using simple arguments lead to models easier to solve. We proved, using stochastic orders, that the loss rates of these easier models are really the bounds of our original model. For ill-balanced configurations these models give good estimates of loss rates.
Ključne rečiDiscrete time Markov chains; tochastic bounds; ATM switch; loss rates
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Reference
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Beylot, A.L. (1993) Modèles de trafics et de commutateurs pour l'évaluation de la perte et du délai dans les réseaux ATM. Paris: Universite de Paris, doktorska disertacija
|
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Doisy, M. (1992) Comparaison de processus Markoviens. Univ. de Pau et des Pays de l'Adour, doktorska disertacija
|
|
|
Fourneau, J.M., Pekergin, N., Taleb, H. (1995) An application of stochastic ordering to the analysis of the push-out mechanism. u: Kouvatsos D. (ur.) Performance Modeling and Evaluation of ATM Networks, London, itd: Chapman and Hall
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|

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Grassman, W.K., Taksar, M.I., Heyman, D.P. (1985) Regenerative analysis and steady state distributions for Markov chains. Operations Research, 33, 5, 1107-1116
|
|
|
Heymann, D.P. (1987) Further comparisons of direct methods for computing stationary distributions of Markov chains. SIAM Journal on Alg. Disc. Math, 8, (2), 226-232
|
|
|
Plateau, B. (1984) De l'évaluation du parallélisme et de la synchronisation. Paris: Universite de Paris, doktorska disertacija
|
|
|
Stewart, W.J. (1994) Introduction to the numerical solution of Markov chains. Princeton, NJ: Princeton University Press
|
|
|
Stoyan, D. (1983) Comparison methods for queues and other stochastic models. New York, itd: Wiley
|
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|
Truffet, L. (1995) Méthodes de calcul de Bornes stochastiques sur des modcles de systcmes et de Réseaux. Paris: Universite de Paris, doktorska disertacija
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