| Autor: |
Srinivas R. Chakravarthy, Shruti, Rakhee Kulshrestha |
| Jazyk: |
angličtina |
| Rok vydání: |
2020 |
| Předmět: |
|
| Zdroj: |
Operations Research Perspectives, Vol 7, Iss , Pp 100131- (2020) |
| Druh dokumentu: |
article |
| ISSN: |
2214-7160 |
| DOI: |
10.1016/j.orp.2019.100131 |
| Popis: |
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. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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