Temat: approximation of - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Calculating steady-state probabilities of queueing systems using hyperexponential approximation
Autorzy:: Zhernovyi, Yuriy
Kopytko, Bohdan
Powiązania:: https://bibliotekanauki.pl/articles/122829.pdf
Data publikacji:: 2019
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: non-Markovian queueing system
hyperexponential approximation
complex and paradoxical parameters of distribution
system kolejkowy
aproksymacja
rozkład hiperesponencjalny
Opis:: This article proposes an analysis of the results of the application of hyperexponential approximations with parameters of the paradoxical and complex type for calculating the steady-state probabilities of the G/G/n/m queueing systems with the number of channels n = 1, 2 and 3. The steady-state probabilities are solutions of a system of linear algebraic equations obtained by the method of fictitious phases. Approximation of arbitrary distributions is carried out using the method of moments. We verified the obtained numerical results using potential method and simulation models, constructed by means of GPSS World.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2019, 18, 2; 111-122
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Reliability assessment of a series system with redundancy and repair facilities
Autorzy:: Zhernovyi, Yuriy
Kopytko, Bohdan
Powiązania:: https://bibliotekanauki.pl/articles/1839753.pdf
Data publikacji:: 2020
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: reliability
recoverable system
redundancy
series system
hyperexponential approximation
fictitious phases
method of moments
niezawodność
redundancja
system szeregowy
metoda momentów
Opis:: In this paper, we propose a method for studying the reliability of series systems with redundancy and repair facilities. We consider arbitrary distributions of the units’ time to failure and exponentially distributed recovery times. The approach based on the use of fictitious phases and hyperexponential approximations of arbitrary distributions by the method of moments. We consider cases of fictitious hyperexponential distributions with paradoxical and complex parameters. We define conditions for the variation coefficients of the gamma distributions and Weibull distributions, for which the best and same accuracy of calculating the steady-state probabilities is achieved in comparison with the results of simulation modeling.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2020, 19, 3; 123-131
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Calculating steady-state probabilities of single-channel queueing systems with changes of service times depending on the queue length
Autorzy:: Zhernovyi, Yuriy
Kopytko, Bohdan
Powiązania:: https://bibliotekanauki.pl/articles/122726.pdf
Data publikacji:: 2019
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: single-channel queueing system
service times changes depending of the queue length
hyperexponential approximation
rozkład hiperesponencjalny
czas obsługi
system kolejkowania jednokanałowy
długość kolejki
Opis:: In this paper, we propose a method for calculating steady-state probabilities of the G/G/1/m and M/G/1/m queueing systems with service times changes depending of the number of customers in the system. The method is based on the use of fictitious phases and hyperexponential approximations with parameters of the paradoxical and complex type. A change in the service mode can only occur at the moment the service is started. We verified the obtained numerical results using the potential method and simulation models, constructed by means of GPSS World.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2019, 18, 3; 107-117
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

Artykuł

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