- Tytuł:
- On characteristics of the Mθ/G/1/m and Mθ/G/1 queues with queue-size based packet dropping
- Autorzy:
-
Zhernovyi, Y.
Kopytko, B.
Zhernovyi, K. - Powiązania:
- https://bibliotekanauki.pl/articles/122429.pdf
- Data publikacji:
- 2014
- Wydawca:
- Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
- Tematy:
-
queuing systems
packet arrival of customers
active queue management
random dropping of customers
busy period
distribution of the number of customersdistribution of the number of customers
system kolejkowania
aktywne zarządzanie kolejką
przedział zajętości - Opis:
- We study the Mθ/G/1/m and Mθ/G/1 queuing systems with the function of the random dropping of customers used to ensure the required characteristics of the system. Each arriving packet of customers can be rejected with a probability defined depending on the queue length at the service beginning of each customer. The Laplace transform for the distribution of the number of customers in the system on the busy period is found, the mean duration of the busy period is determined, and formulas for the stationary distribution of the number of customers in the system are derived via the approach based on the idea of Korolyuk’s potential method. The obtained results are verified with the help of a simulation model constructed with the assistance of GPSS World tools.
- Źródło:
-
Journal of Applied Mathematics and Computational Mechanics; 2014, 13, 4; 163-175
2299-9965 - Pojawia się w:
- Journal of Applied Mathematics and Computational Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł