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Recurrence times of buffer overflows in Jackson networks

โœ Scribed by Meyn, S.P.; Frater, M.R.


Book ID
114539654
Publisher
IEEE
Year
1993
Tongue
English
Weight
481 KB
Volume
39
Category
Article
ISSN
0018-9448

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โœ Jiyeon Lee ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 222 KB

We consider the probability that the total population of a Jackson network exceeds a given large value. By using the relation to the stationary distribution, we derive upper and lower bounds on this probability. These bounds imply a stronger logarithmic limit when multiple nodes have the same maxima