### Samenvatting

In many applications, signicant correlations between arrivals of load-generating events make the numerical evaluation of the load of a system a challenging problem. Here, we construct very accurate approximations of the workload distribution of the MAP/G/1 queue that capture the tail behavior of the exact workload distribution and provide a small relative error. Motivated by statistical analysis, we assume that the service times are a mixture of a phase-type and a heavy-tailed distribution. With the aid of perturbation analysis, we derive our approximations as a sum of the workload distribution of the MAP/PH/1 queue and a heavy-tailed component that depends on the perturbation parameter. We refer to our approximations as corrected phase-type approximations, and

we exhibit their performance with a numerical study.

we exhibit their performance with a numerical study.

Originele taal-2 | Engels |
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Aantal pagina's | 1 |

Status | Gepubliceerd - 2013 |

Evenement | International Conference on Levy Processes, 15-19 July 2013, Wrocław, Poland: Theory and Applications - Wrocław, Polen Duur: 15 jul 2013 → 19 jul 2013 Congresnummer: 7 http://bcc.impan.pl/13Levy/ |

### Congres

Congres | International Conference on Levy Processes, 15-19 July 2013, Wrocław, Poland |
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Land | Polen |

Stad | Wrocław |

Periode | 15/07/13 → 19/07/13 |

Internet adres |

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## Citeer dit

Vatamidou, E., Adan, I. J. B. F., Vlasiou, M., & Zwart, A. P. (2013).

*Corrected phase-type approximations for the workload of the MAP/G/1 queue with heavy-tailed service times*. Postersessie gepresenteerd op International Conference on Levy Processes, 15-19 July 2013, Wrocław, Poland, Wrocław, Polen.