- Tytuł:
- The potentials method for the M/G/1/m queue with customer dropping and hysteretic strategy of the service time change
- Autorzy:
-
Zhernovyi, Y.
Kopytko, B. - Powiązania:
- https://bibliotekanauki.pl/articles/122350.pdf
- Data publikacji:
- 2016
- Wydawca:
- Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
- Tematy:
-
single-channel queueing system
random dropping of customers
hysteretic strategy for service time
potentials method
stationary characteristics
system kolejkowania jednokanałowy
metoda potencjałów
charakterystyka stacjonarna
czas obsługi - Opis:
- We propose a method for determining the probabilistic characteristics of the M/G/1/m queueing system with the random dropping of arrivals and distribution of the service time depending on the queue length. Two sets of service modes, with the service time distribution functions Fn (x) and Fn (x) respectively, are used according to the twothreshold hysteretic strategy. The Laplace transforms for the distribution of the number of customers in the system during the busy period and for the distribution function of the length of the busy period are found. The developed algorithm for calculating the stationary characteristics of the system is tested with the help of a simulation model constructed with the assistance of GPSS World tools.
- Źródło:
-
Journal of Applied Mathematics and Computational Mechanics; 2016, 15, 1; 197-210
2299-9965 - Pojawia się w:
- Journal of Applied Mathematics and Computational Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł