Study on Transient Queue-Size Distribution in the Finite-Buffer Model with Batch Arrivals and Multiple Vacation Policy.
Entropy (Basel)
; 23(11)2021 Oct 27.
Article
en En
| MEDLINE
| ID: mdl-34828108
The transient behavior of the finite-buffer queueing model with batch arrivals and generally distributed repeated vacations is analyzed. Such a system has potential applications in modeling the functioning of production systems, computer and telecommunication networks with energy saving mechanism based on cyclic monitoring the queue state (Internet of Things, wireless sensors networks, etc.). Identifying renewal moments in the evolution of the system and applying continuous total probability law, a system of Volterra-type integral equations for the time-dependent queue-size distribution, conditioned by the initial buffer state, is derived. A compact-form solution for the corresponding system written for Laplace transforms is obtained using an algebraic approach based on Korolyuk's potential method. An illustrative numerical example presenting the impact of the service rate, arrival rate, initial buffer state and single vacation duration on the queue-size distribution is attached as well.
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Colección:
01-internacional
Base de datos:
MEDLINE
Idioma:
En
Revista:
Entropy (Basel)
Año:
2021
Tipo del documento:
Article
País de afiliación:
Polonia
Pais de publicación:
Suiza