- Tytuł:
- M/G→ /n/0 Erlang queueing system with heterogeneous servers and non-homogeneous customers
- Autorzy:
- Ziółkowski, M.
- Powiązania:
- https://bibliotekanauki.pl/articles/199840.pdf
- Data publikacji:
- 2018
- Wydawca:
- Polska Akademia Nauk. Czytelnia Czasopism PAN
- Tematy:
-
multi-server queueing systems
queueing systems with non-homogeneous customers
queueing systems with heterogeneous servers
total volume distribution
Laplace–Stieltjes transform
system kolejkowania
transformata Laplace'a-Stieltjesa
dystrybucja - Opis:
- In the present paper, we investigate a multi-server queueing system with heterogeneous servers, unlimited memory space, and non-homogeneous customers. The arriving customers appear according to a stationary Poisson process. Service time distribution functions may be different for every server. Customers are additionally characterized by some random volume. On every server, the service time of the customer depends on their volume. The number of customers distribution function is obtained in the classical model of the system. In the model with non-homogeneous customers, the stationary total volume distribution function is determined in the term of Laplace–Stieltjes transform. The stationary first and second moments of a total customers volume are calculated. An analysis of some special cases of the model and some numerical examples are also included.
- Źródło:
-
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2018, 66, 1; 59-66
0239-7528 - Pojawia się w:
- Bulletin of the Polish Academy of Sciences. Technical Sciences
- Dostawca treści:
- Biblioteka Nauki
Artykuł