- Tytuł:
- From exhaustive vacation queues to preemptive priority queues with general interarrival times
- Autorzy:
-
Fiems, D.
De Vuyst, S. - Powiązania:
- https://bibliotekanauki.pl/articles/330948.pdf
- Data publikacji:
- 2018
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
queueing system
preemptive priority
server interruption
server breakdown
exhaustive vacations
system kolejkowy
zawieszenie serwera
awaria serwera - Opis:
- We consider the discrete-time G/GI/1 queueing system with multiple exhaustive vacations. By a transform approach, we obtain an expression for the probability generating function of the waiting time of customers in such a system. We then show that the results can be used to assess the performance of G/GI/1 queueing systems with server breakdowns as well as that of the low-priority queue of a preemptive MX+G/GI/1 priority queueing system. By calculating service completion times of low-priority customers, various preemptive breakdown/priority disciplines can be studied, including preemptive resume and preemptive repeat, as well as their combinations. We illustrate our approach with some numerical examples.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2018, 28, 4; 695-704
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł