- Tytuł:
- Performance evaluation of unreliable system with infinite number of servers
- Autorzy:
-
Tikhonenko, O.
Ziółkowski, M. - Powiązania:
- https://bibliotekanauki.pl/articles/201519.pdf
- Data publikacji:
- 2020
- Wydawca:
- Polska Akademia Nauk. Czytelnia Czasopism PAN
- Tematy:
-
queueing systems with non-homogeneous customers
unreliable queueing systems
total volume
loss probability
Laplace–Stieltjes transform - Opis:
- In the paper, we investigate queueing system M/G/∞ with non-homogeneous customers. By non-homogeneity we mean that each customer is characterized by some arbitrarily distributed random volume. The arriving customers appear according to a stationary Poisson process. Service time of a customer is proportional to his its volume. The system is unreliable, which means that all its servers can break simultaneously and then the repair period goes on for random time having an arbitrary distribution. During this period, customers present in the system and arriving to it are not served. Their service continues immediately after repair period termination. Time intervals of the system in good repair mode have an exponential distribution. For such system, we determine steady-state sojourn time and total volume of customers present in it distributions. We also estimate the loss probability for the similar system with limited total volume. An analysis of some special cases and some numerical examples are attached as well.
- Źródło:
-
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2020, 68, 2; 289-297
0239-7528 - Pojawia się w:
- Bulletin of the Polish Academy of Sciences. Technical Sciences
- Dostawca treści:
- Biblioteka Nauki
Artykuł