Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/287507 
Year of Publication: 
2021
Citation: 
[Journal:] Queueing Systems [ISSN:] 1572-9443 [Volume:] 99 [Issue:] 1-2 [Publisher:] Springer US [Place:] New York, NY [Year:] 2021 [Pages:] 27-64
Publisher: 
Springer US, New York, NY
Abstract: 
In 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.
Subjects: 
Bipartite network
Bivariate compound Poisson process
Hitting probability
Coupled M/G/1-queues
Random switch
Regular variation
Ruin theory
Queueing theory
JEL: 
K25
C11
G10
G05
Persistent Identifier of the first edition: 
Creative Commons License: 
cc-by Logo
Document Type: 
Article
Document Version: 
Published Version

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