- Tytuł:
- The potentials method for a closed queueing system with hysteretic strategy of the service time change
- Autorzy:
-
Zhernovyi, Y.
Kopytko, B. - Powiązania:
- https://bibliotekanauki.pl/articles/122638.pdf
- Data publikacji:
- 2015
- Wydawca:
- Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
- Tematy:
-
queueing system with a finite number of sources
hysteretic strategy for service time
potentials method
stationary characteristics
metoda potencjałów
charakterystyka stacjonarna - Opis:
- We propose a method for determining the characteristics of a single-channel closed queueing system with an exponential distribution of the time generation of service requests and arbitrary distributions of the service times. In order to increase the system capacity, two service modes (the main mode and overload mode), with the service time distribution functions F ( x ) and F ( x ) respectively, are used. The overload mode starts functioning if at the beginning of service of the next customer the number of customers in the system ξ(t ) satisfies the condition ξ (t ) > h2. The return to the main mode carried out at the beginning of service of the customer, for which ξ (t ) = h1, where 1 ≤ h1 < h2. 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; 2015, 14, 2; 131-143
2299-9965 - Pojawia się w:
- Journal of Applied Mathematics and Computational Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł