- Tytuł:
- Single–server queueing system with limited queue, random volume customers and unlimited sectorized memory buffer
- Autorzy:
-
Ziółkowski, Marcin
Tikhonenko, Oleg - Powiązania:
- https://bibliotekanauki.pl/articles/2173725.pdf
- Data publikacji:
- 2022
- Wydawca:
- Polska Akademia Nauk. Czytelnia Czasopism PAN
- Tematy:
-
single-server queueing system
queueing systems with random volume customers
sectorized memory buffer
total volume vector
Laplace-Stieltjes transform
system kolejkowy z jednym serwerem
system kolejkowy z losowymi klientami
bufor pamięci sektorowany
wektor objętości całkowity
transformata Laplace'a-Stieltjesa - Opis:
- In the present paper, we analyze the model of a single–server queueing system with limited number of waiting positions, random volume customers and unlimited sectorized memory buffer. In such a system, the arriving customer is additionally characterized by a non– negative random volume vector whose indications usually represent the portions of unchanged information of a different type that are located in sectors of unlimited memory space dedicated for them during customer presence in the system. When the server ends the service of a customer, information immediately leaves the buffer, releasing resources of the proper sectors. We assume that in the investigated model, the service time of a customer is dependent on his volume vector characteristics. For such defined model, we obtain a general formula for steady–state joint distribution function of the total volume vector in terms of Laplace-Stieltjes transforms. We also present practical results for some special cases of the model together with formulae for steady–state initial moments of the analyzed random vector, in cases where the memory buffer is composed of at most two sectors. Some numerical computations illustrating obtained theoretical results are attached as well.
- Źródło:
-
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2022, 70, 6; art. no. e143647
0239-7528 - Pojawia się w:
- Bulletin of the Polish Academy of Sciences. Technical Sciences
- Dostawca treści:
- Biblioteka Nauki
Artykuł