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Exact asymptotics of Gaussian-driven tandem queues

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References

  1. Dȩbicki, K.: Ruin probability for Gaussian integrated processes. Stoch. Process. Appl. 98(1), 151–174 (2002)

    Article  Google Scholar 

  2. Dȩbicki, K., Ji, L., Rolski, T.: Exact asymptotics of component-wise extrema of two-dimensional Brownian motion. Extremes 23(4), 569–602 (2020)

    Article  Google Scholar 

  3. Dȩbicki, K., Mandjes, M., Van Uitert, M.: A tandem queue with Lévy input: a new representation of the downstream queue length. Probab. Eng. Inf. Sci. 21(1), 83–107 (2007)

    Article  Google Scholar 

  4. Dieker, A.: Extremes of Gaussian processes over an infinite horizon. Stoch. Process. Appl. 115(2), 207–248 (2005)

    Article  Google Scholar 

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

    Article  Google Scholar 

  6. Lieshout, P., Mandjes, M.: Tandem Brownian queues. Math. Methods Operations Res. 66(2), 275–298 (2007)

    Article  Google Scholar 

  7. Mandjes, M.: Large Deviations for Gaussian Queues: Modelling Communication Networks. John Wiley & Sons, Hoboken (2007)

    Book  Google Scholar 

  8. Mandjes, M., Mannersalo, P., Norros, I.: Gaussian tandem queues with an application to dimensioning of switch fabric interfaces. Comput. Netw. 51(3), 781–797 (2007)

    Article  Google Scholar 

  9. Mandjes, M., van Uitert, M.: Sample-path large deviations for tandem and priority queues with Gaussian inputs. Ann. Appl. Probab. 15(2), 1193–1226 (2005)

    Article  Google Scholar 

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

    Article  Google Scholar 

  11. Zubeldia, M., Mandjes, M.: Large deviations for acyclic networks of queues with correlated Gaussian inputs. Queue. Syst. 98(3), 333–371 (2021)

    Article  Google Scholar 

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Correspondence to Krzysztof Dȩbicki.

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Dȩbicki, K. Exact asymptotics of Gaussian-driven tandem queues. Queueing Syst 100, 285–287 (2022). https://doi.org/10.1007/s11134-022-09823-1

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  • DOI: https://doi.org/10.1007/s11134-022-09823-1

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