%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 }