Loss probability calculations and asymptotic analysis for finite buffer multiplexers
We propose an approximation for the loss probability, P/sub L/(x), in a finite buffer system with buffer size x. Our study is motivated by the case of a high-speed network where a large number of sources are expected to be multiplexed. Hence, by appealing to central limit theorem type of arguments,...
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Veröffentlicht in: | IEEE/ACM transactions on networking 2001-12, Vol.9 (6), p.755-768 |
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Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | We propose an approximation for the loss probability, P/sub L/(x), in a finite buffer system with buffer size x. Our study is motivated by the case of a high-speed network where a large number of sources are expected to be multiplexed. Hence, by appealing to central limit theorem type of arguments, we model the input process as a general Gaussian process. Our result is obtained by making a simple mapping from the tail probability in an infinite buffer system to the loss probability in a finite buffer system. We also provide a strong asymptotic relationship between our approximation and the actual loss probability for a fairly large class of Gaussian input processes. We derive some interesting asymptotic properties of our approximation and illustrate its effectiveness via a detailed numerical investigation. |
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ISSN: | 1063-6692 1558-2566 |
DOI: | 10.1109/90.974529 |