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Variant working vacations on batch arrival queue with reneging and server breakdowns
| Content Provider | Semantic Scholar |
|---|---|
| Author | Laxmi, P. Vijaya Rajesh, Pilla |
| Copyright Year | 2018 |
| Abstract | This paper analyzes a batch arrival infinite-buffer single server variant working vacation queueing system wherein customers arrive according to a Poisson process and the server is subject to breakdown. As soon as the system becomes empty, the server takes working vacation. The service times during regular busy period, working vacation period, vacation times, breakdown times and repair times are assumed to be exponentially distributed and are mutually independent. During working vacations the customer may renege due to impatience. We derive the probability generating function of the steady-state probabilities and obtain the closed form expressions of the system size. In addition, we obtain some other performance measures and monotonicity with respect to K. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.easpublisher.com/wp-content/uploads/2018/11/EASMB-11-7-20-c.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
