Sojourns of fractional Brownian motion queues: transient asymptotics-Reference-Cited by-同舟云学术

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Sojourns of fractional Brownian motion queues: transient asymptotics

Published:2023-09-10 Issue:1-2 Volume:105 Page:139-170
ISSN:0257-0130
Container-title:Queueing Systems
language:en
Short-container-title:Queueing Syst

Author:

Dȩbicki Krzysztof,Hashorva Enkelejd,Liu Peng^ORCID

Funder

NCN Grant

Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,Management Science and Operations Research,Computer Science Applications

Link

https://link.springer.com/content/pdf/10.1007/s11134-023-09890-y.pdf

Reference23 articles.

1. Mandjes, M.: Large Deviations for Gaussian Queues: Modelling Communication Networks. Wiley, Hoboken (2007)

2. Norros, I.: A storage model with self-similar input. Queueing Syst. 16(3), 387–396 (1994)

3. Taqqu, M.S., Willinger, W., Sherman, R.: Proof of a fundamental result in self-similar traffic modeling. ACM SIGCOMM Comput. Commun. Rev. 27(2), 5–23 (1997)

4. Mikosch, T., Resnick, S., Rootzén, H., Stegeman, A.: Is network traffic appriximated by stable Lévy motion or fractional Brownian motion? Ann. Appl. Probab. 12(1), 23–68 (2002)

5. Hüsler, J., Piterbarg, V.I.: Extremes of a certain class of Gaussian processes. Stoch. Process. Appl. 83(2), 257–271 (1999)

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