### Abstract

Original language | English |
---|---|

Article number | 1711.04041 |

Number of pages | 11 |

Journal | arXiv |

Issue number | 1711.04041 |

Publication status | Published - 10 Nov 2017 |

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### Cite this

*arXiv*, (1711.04041), [1711.04041].

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*arXiv*, no. 1711.04041, 1711.04041.

**Speed of convergence to the quasi-stationary distribution for Lévy input fluid queues.** / Palmowski, Z.; Vlasiou, M.

Research output: Contribution to journal › Article › Academic

TY - JOUR

T1 - Speed of convergence to the quasi-stationary distribution for Lévy input fluid queues

AU - Palmowski, Z.

AU - Vlasiou, M.

PY - 2017/11/10

Y1 - 2017/11/10

N2 - In this note we prove that the speed of convergence of the workload of a L\'evy-driven queue to the quasi-stationary distribution is of order $1/t$. We identify also the Laplace transform of the measure giving this speed and provide some examples.

AB - In this note we prove that the speed of convergence of the workload of a L\'evy-driven queue to the quasi-stationary distribution is of order $1/t$. We identify also the Laplace transform of the measure giving this speed and provide some examples.

KW - math.PR

M3 - Article

JO - arXiv

JF - arXiv

IS - 1711.04041

M1 - 1711.04041

ER -