Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/246405 
Year of Publication: 
2020
Citation: 
[Journal:] Operations Research Perspectives [ISSN:] 2214-7160 [Volume:] 7 [Publisher:] Elsevier [Place:] Amsterdam [Year:] 2020 [Pages:] 1-13
Publisher: 
Elsevier, Amsterdam
Abstract: 
Queueing models wherein having a backup server during the absences (caused by vacations and breakdowns) of the main server have found many applications in practice. Such services offered by a backup server can be viewed as the (main) server working during a vacation or during a breakdown period. A backup server offering services can be thought of as the main server working (at a reduced rate) on vacations/repairs. Using Neuts' versatile point process for the arrivals and modeling the service times with phase type distributions, we propose a model that generalizes some of the previously published ones on working-vacation-breakdown-repair queues. We carry out the steady-state analysis and report interesting illustrative numerical examples. We also prove decomposition results for the rate matrix and the mean number in the system under some special cases.
Subjects: 
Markovian arrival process
Working vacation
Server breakdown and repairs
Phase type distribution
Matrix analytical method
Persistent Identifier of the first edition: 
Creative Commons License: 
cc-by-nc-nd Logo
Document Type: 
Article

Files in This Item:
File
Size





Items in EconStor are protected by copyright, with all rights reserved, unless otherwise indicated.