Artikel
A queueing model with server breakdowns, repairs, vacations, and backup server
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.
- Language
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Englisch
- Bibliographic citation
-
Journal: Operations Research Perspectives ; ISSN: 2214-7160 ; Volume: 7 ; Year: 2020 ; Pages: 1-13 ; Amsterdam: Elsevier
- Classification
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Wirtschaft
- Subject
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Markovian arrival process
Working vacation
Server breakdown and repairs
Phase type distribution
Matrix analytical method
- Event
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Geistige Schöpfung
- (who)
-
Chakravarthy, Srinivas R.
Shruti
Kulshrestha, Rakhee
- Event
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Veröffentlichung
- (who)
-
Elsevier
- (where)
-
Amsterdam
- (when)
-
2020
- DOI
-
doi:10.1016/j.orp.2019.100131
- Handle
- Last update
-
10.03.2025, 11:45 AM CET
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Object type
- Artikel
Associated
- Chakravarthy, Srinivas R.
- Shruti
- Kulshrestha, Rakhee
- Elsevier
Time of origin
- 2020
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