Temat: Stieltjes convolution - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Multi-server closed queueing system with limited buffer space
Autorzy:: Tikhonenko, A.
Tikhonenko-Kędziak, A.
Powiązania:: https://bibliotekanauki.pl/articles/122285.pdf
Data publikacji:: 2017
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: total requests capacity
memory space
loss probability
Stieltjes convolution
systemy kolejkowe
splot Stieltjesa
liczba zgłoszeń
pojemność pamięci
Opis:: In the paper, we investigate multi-server closed queueing systems with identical servers and a finite number of terminals. Requests from each terminal are characterized by a random space requirement (volume), the request service time doesn’t depend on its volume and has an exponential distribution. The total requests capacity in the system is limited by a positive value (buffer space memory volume) V. For such systems, stationary requests number distribution and loss probability are determined. The analogous results for open multi-server systems are obtained as a limit case. Some numerical results are attached as well.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2017, 16, 1; 117-125
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Multiline queueing system with random time limitations and limited buffer space
Autorzy:: Tikhonenko, O.
Zając, P.
Powiązania:: https://bibliotekanauki.pl/articles/122703.pdf
Data publikacji:: 2018
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: total demands volume
system buffer capacity
loss probability
Stieltjes convolution
system kolejkowy
splot Stieltjesa
pojemność bufora
Opis:: In the paper, we investigate multi-server queueing systems with demands of random space requirements (volumes), in which buffer space is limited by constant value and queueing ore (and) service time are limited by exponentially distributed random variables. For such systems, stationary demands number distribution and loss probability are determined. Some numerical results are attached as well.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2018, 17, 4; 99-106
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Multi–server loss queueing system with random volume customers, non–identical servers and a limited sectorized memory buffer
Autorzy:: Ziółkowski, Marcin
Powiązania:: https://bibliotekanauki.pl/articles/27311432.pdf
Data publikacji:: 2023
Wydawca:: Polska Akademia Nauk. Czasopisma i Monografie PAN
Tematy:: multi–server queueing system with heterogeneous servers
queueing systems with random volume customers
sectorized memory buffer
loss probability
Stieltjes convolution
wieloserwerowy system kolejkowy z serwerami heterogenicznymi
prawdopodobieństwo straty
splot Stieltjesa
bufor pamięci sektorowany
system kolejkowy z losowymi klientami
Opis:: In the present paper, the model of multi–server queueing system with random volume customers, non–identical (heterogeneous) servers and a sectorized memory buffer has been investigated. In such system, the arriving customers deliver some portions of information of a different type which means that they are additionally characterized by some random volume vector. This multidimensional information is stored in some specific sectors of a limited memory buffer until customer ends his service. In analyzed model, the arrival flow is assumed to be Poissonian, customers’ service times are independent of their volume vectors and exponentially distributed but the service parameters may be different for every server. Obtained results include general formulae for the steady–state number of customers distribution and loss probability. Special cases analysis and some numerical computations are attached as well.
Źródło:: Bulletin of the Polish Academy of Sciences. Technical Sciences; 2023, 71, 5; art. no. e146764
0239-7528
Pojawia się w:: Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:: Biblioteka Nauki

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