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Computing Queue-Length Distributions for Power-Law Queues (1998)  (Make Corrections)  (3 citations)
Matthew Roughan, Darryl Veitch, Michael Rumsewicz
INFOCOM (1)



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Abstract: The interest sparked by observations of long-range dependent traffic in real networks has lead to a revival of interest in non-standard queueing systems. One such queueing system is the M/G/1 queue where the service-time distribution has infinite variance. The known results for such systems are asymptotic in nature, typically providing the asymptotic form for the tail of the workload distribution, simulation being required to learn about the rest of the distribution. Simulation however performs ... (Update)

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Matthew Roughan, Darryl Veitch, and Michael Rumsewicz. Computing queuelength distributions for power-law queues. In Proceedings of INFOCOM '98, pages 356-363, 1998. http://citeseer.ist.psu.edu/roughan98computing.html   More

@inproceedings{ roughan98computing,
    author = "Matthew Roughan and Darryl Veitch and Michael P. Rumsewicz",
    title = "Computing Queue-Length Distributions for Power-Law Queues",
    booktitle = "{INFOCOM} (1)",
    pages = "356-363",
    year = "1998",
    url = "citeseer.ist.psu.edu/roughan98computing.html" }
Citations (may not include all citations):
692   the self-similar nature of ethernet traffic - Leland, Taqqu et al. - 1994
579   Self-similarity in World Wide Web traffic: Evidence and poss.. - Crovella, Bestavros - 1997
220   A storage model with self-similar input - Norros - 1994
166   series and products (context) - Gradshteyn, Ryzhik et al. - 1980
104   Cambridge University Press (context) - Bingham, Goldie et al. - 1987
67   The Single Server Queue (context) - Cohen - 1969
49   Some results on regular variation for the distributions in q.. (context) - Cohen - 1973
29   Heavy traffic analysis of a storage model with long range de.. - Brichet, Roberts et al. - 1996
23   Asymptotic results for multiplexing subexponential on-off so.. - Jelenkovic, Lazar - 1997
20   Regular variation in a multi-source fluid queue - Boxma - 1997
20   Applications of fractals in engineering for realistic traffi.. (context) - Erramilli, Gordon et al. - 1994
15   Queue length distributions from probability generating funct.. (context) - Daigle - 1989
12   Multiplexing on-off sources with subexponential on periods: .. - Jelenkovic, Lazar - 1997
11   Point process approaches to the modelling and analysis of se.. (context) - Ryu, Lowen - 1996
6   Experimental queueing analysis with long-range dependent pac.. (context) - Erramilli, Narayan et al. - 1996

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Documents on the same site (http://internal.maths.adelaide.edu.au/people/mroughan/papers.html):   More
An Information-Theoretic Approach to Traffic Matrix.. - Zhang, Roughan, Lund.. (2003)   (Correct)
Self-Similar Traffic and Network Dynamics - Erramilli, Roughan, Veitch.. (2002)   (Correct)
A Martingale Analysis of Hysteretic Overload Control - Roughan, Pearce (1999)   (Correct)

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