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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kulshrestha, Rakhee | - |
dc.date.accessioned | 2023-08-05T06:16:51Z | - |
dc.date.available | 2023-08-05T06:16:51Z | - |
dc.date.issued | 2020 | - |
dc.identifier.uri | https://www.sciencedirect.com/science/article/pii/S2214716019302076 | - |
dc.identifier.uri | http://dspace.bits-pilani.ac.in:8080/xmlui/handle/123456789/11180 | - |
dc.description.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. | en_US |
dc.language.iso | en | en_US |
dc.publisher | Elsevier | en_US |
dc.subject | Mathematics | en_US |
dc.subject | Markovian arrival process | en_US |
dc.subject | Working vacation | en_US |
dc.subject | Server breakdown and repairs | en_US |
dc.subject | Phase type distribution | en_US |
dc.subject | Matrix analytical method | en_US |
dc.title | A queueing model with server breakdowns, repairs, vacations, and backup server | en_US |
dc.type | Article | en_US |
Appears in Collections: | Department of Mathematics |
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