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Link to original content: https://doi.org/10.1145/223586.223598
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Fundamental results on the performance of ATM multiplexers with applications to video teleconferencing

Published: 01 May 1995 Publication History

Abstract

The main contributions of this paper are two-fold. First, we prove fundamental, similarly behaving lower and upper bounds, and give an approximation based on the bounds, which is effective for analyzing ATM multiplexers, even when the traffic has many, possibly heterogeneous, sources and their models are of high dimension. Second, we apply our analytic approximation to statistical models of video teleconference traffic, obtain the multiplexing system's capacity as determined by the number of admissible sources for given cell loss probability, buffer size and trunk bandwidth, and, finally, compare with results from simulations, which are driven by actual data from coders. The results are surprisingly close. Our bounds are based on Large Deviations theory. Our approximation has two easily calculated parameters, one is from Chernoff's theorem and the other is the system's dominant eigenvalue. A broad range of systems are analyzed and the time for analysis in each case is a fraction of a second.

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Published In

cover image ACM SIGMETRICS Performance Evaluation Review
ACM SIGMETRICS Performance Evaluation Review  Volume 23, Issue 1
May 1995
323 pages
ISSN:0163-5999
DOI:10.1145/223586
Issue’s Table of Contents
  • cover image ACM Conferences
    SIGMETRICS '95/PERFORMANCE '95: Proceedings of the 1995 ACM SIGMETRICS joint international conference on Measurement and modeling of computer systems
    May 1995
    340 pages
    ISBN:0897916956
    DOI:10.1145/223587
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Publication History

Published: 01 May 1995
Published in SIGMETRICS Volume 23, Issue 1

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