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Semigroup Methods for the M/G/1 Queueing Model with Working Vacation and Vacation Interruption
| Content Provider | Semantic Scholar |
|---|---|
| Author | Kasim, Ehmet |
| Copyright Year | 2016 |
| Abstract | By using the strong continuous semigroup theory of linear operators we prove that the M/G/1 queueing model with working vacation and vacation interruption has a unique positive time dependent solution which satisfies probability conditions. When the both service completion rate in a working vacation period and in a regular busy period are constant, by investigating the spectral properties of an operator corresponding to the model we obtain that the time-dependent solution of the model strongly converges to its steady-state solution. |
| Starting Page | 56 |
| Ending Page | 56 |
| Page Count | 1 |
| File Format | PDF HTM / HTML |
| DOI | 10.5539/jmr.v8n5p56 |
| Volume Number | 8 |
| Alternate Webpage(s) | http://www.ccsenet.org/journal/index.php/jmr/article/download/61107/34017 |
| Alternate Webpage(s) | https://doi.org/10.5539/jmr.v8n5p56 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |