@inproceedings{d9f5affd973f448dab219b62f0a18eec,
title = "Corrected phase-type approximations for the workload of the MAP/G/1 queue with heavy-tailed service times",
abstract = "In many applications, significant 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 heavytailed 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. Keywords: Markovian Arrival Process (MAP); Workload distribution; Heavy-tailed service times; Tail asymptotics; Perturbation analysis.",
author = "E. Vatamidou and I.J.B.F. Adan and M. Vlasiou and B. Zwart",
year = "2013",
doi = "10.1145/2518025.2518036",
language = "English",
series = "ACM SIGMETRICS Performance Evaluation Review",
publisher = "Association for Computing Machinery, Inc",
number = "2",
pages = "53--55",
booktitle = "31st International Symposium on Computer Performance, Modeling, Measurements and Evaluation (IFIP WG 7.3 Performance 2013), Vienna, Austria, September 24-26, 2013",
address = "United States",
}