| M. Parulekar and A. Makowski, iBuoeer OverAEow Probabilities for a Multiplexer with Self-Similar TraOEc,j in Proc. IEEE Infocom '96, (San Fransisco, CA), March 1996. |
....if the arrival process is a single on ooe source with heavy tailed on and ooe periods, then the queue length distribution is hyperbolic. Third, if the arrival process is a single on ooe source in which the ooe periods only are heavy tailed, then the queue length distribution decays exponentially [20, 23]. Thus, processes with the same correlation structure can generate vastly dioeerent queueing behavior. Therefore, it is important to consider parameters other than the correlation of the input process for accurate performance prediction. Two such parameters stand out, namely the marginal ....
....marginal distribution is a crucial pa rameter and it must be taken into account for accurate loss prediction. This is in agreement with results obtained by others using analytic approaches regarding the impact of the marginal distribution on the tail of the queue occupancy in innite buoeers (e. g [23]) The second consequence relates to multiplexing. Our result above, namely that superposing even a moderate number of streams sharply decreases the loss rate, indicates that statistical multiplexing is an eOEcient mechanism (more so than buoeering) to achieve high utilization while keeping loss ....
M. Parulekar and A. Makowski, iBuoeer OverAEow Probabilities for a Multiplexer with Self-Similar TraOEc,j in Proc. IEEE Infocom '96, (San Fransisco, CA), March 1996.
....(e.g. phase type distributions) Large deviation results for queues like (18) have also been obtained lately by Abate et al. 1] Chang [10] Courcoubetis and Weber [15] de Veciana et al. 19] DuOEeld and O Connell [21] Elwalid and al. 25] Kesidis et al. 35] Parulekar and Makowski [53], Simonian and Guibert [59] among others. Remark 2.1 When the Markov chain (Y n ) is stationary, the stability condition E [U 0 ] 0 follows from Loynes [49] In the non stationary case one may use a coupling argument due to Borovkov and Foss [7] to prove that E [U 0 ] 0 is also the ....
M. Parulekar and A. M. Makowski, iBuoeer OverAEow Probabilities for a Mul tiplexer with Self-Similar TraOEcj, Proc. INFOCOM'96 , San Francisco, CA, Mar. 1996. RR n\Sigma2865 44 Z. Liu, P. Nain, D. Towsley
....(e.g. phase type distributions) Large deviation results for queues like (2.17) have also been obtained lately by Abate et al. 2] Chang [12] Courcoubetis and Weber [17] de Veciana et al. 21] DuOEeld and O Connell [23] Elwalid and al. 27] Kesidis et al. 38] Parulekar and Makowski [54], Simonian and Guibert [59] among others. Remark 2.1 When the Markov chain (Y n ) is stationary, the stability condition E [U 0 ] 0 follows from Loynes [50] In the non stationary case one may use a coupling argument due to Borovkov and Foss [9] to prove that E [U 0 ] 0 is also the ....
M. Parulekar and A. M. Makowski, iBuoeer OverAEow Probabilities for a Multiplexer with SelfSimilar TraOEcj, Proc. INFOCOM'96 , San Francisco, CA, pp. 1452-1459, Mar. 1996.
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