A fluid cluster Poisson input process can look like a fractional Brownian motion even in the slow growth aggregation regime
Keyword(s):
We show that, contrary to common wisdom, the cumulative input process in a fluid queue with cluster Poisson arrivals can converge, in the slow growth regime, to a fractional Brownian motion, and not to a Lévy stable motion. This emphasizes the lack of robustness of Lévy stable motions as ‘birds-eye’ descriptions of the traffic in communication networks.
2009 ◽
Vol 41
(2)
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pp. 393-427
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Keyword(s):
2014 ◽
Vol 51
(1)
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pp. 1-18
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2019 ◽
Vol 522
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pp. 215-231
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2021 ◽
Vol 37
(7)
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pp. 1156-1170
2019 ◽
Vol 2019
(1)
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