AbstractIn this article, a special case of two coupled M/G/1-queues is considered, where two servers are exposed to two types of jobs that are distributed among the servers via a random switch. In this model, the asymptotic behavior of the workload buffer exceedance probabilities for the two single servers/both servers together/one (unspecified) server is determined. Hereby, one has to distinguish between jobs that are either heavy-tailed or light-tailed. The results are derived via the dual risk model of the studied coupled M/G/1-queues for which the asymptotic behavior of different ruin probabilities is determined.
%0 Journal Article
%1 Behme2021-ee
%A Behme, Anita
%A Strietzel, Philipp Lukas
%D 2021
%I Springer Science and Business Media LLC
%J Queueing Syst.
%K
%N 1-2
%P 27--64
%T A $2~~2$ random switching model and its dual risk model
%V 99
%X AbstractIn this article, a special case of two coupled M/G/1-queues is considered, where two servers are exposed to two types of jobs that are distributed among the servers via a random switch. In this model, the asymptotic behavior of the workload buffer exceedance probabilities for the two single servers/both servers together/one (unspecified) server is determined. Hereby, one has to distinguish between jobs that are either heavy-tailed or light-tailed. The results are derived via the dual risk model of the studied coupled M/G/1-queues for which the asymptotic behavior of different ruin probabilities is determined.
@article{Behme2021-ee,
abstract = {AbstractIn this article, a special case of two coupled M/G/1-queues is considered, where two servers are exposed to two types of jobs that are distributed among the servers via a random switch. In this model, the asymptotic behavior of the workload buffer exceedance probabilities for the two single servers/both servers together/one (unspecified) server is determined. Hereby, one has to distinguish between jobs that are either heavy-tailed or light-tailed. The results are derived via the dual risk model of the studied coupled M/G/1-queues for which the asymptotic behavior of different ruin probabilities is determined.},
added-at = {2024-09-10T11:56:37.000+0200},
author = {Behme, Anita and Strietzel, Philipp Lukas},
biburl = {https://puma.scadsai.uni-leipzig.de/bibtex/2d6157b28a8223e2599873d7e1ff2cabd/scadsfct},
copyright = {https://creativecommons.org/licenses/by/4.0},
interhash = {95ae4535201b0a47247c9449d0f2cf3a},
intrahash = {d6157b28a8223e2599873d7e1ff2cabd},
journal = {Queueing Syst.},
keywords = {},
language = {en},
month = oct,
number = {1-2},
pages = {27--64},
publisher = {Springer Science and Business Media LLC},
timestamp = {2024-09-10T15:15:57.000+0200},
title = {A $2~{\times }~2$ random switching model and its dual risk model},
volume = 99,
year = 2021
}
