On a Retrial Single-Server Queueing System with Finite Buffer and Poisson Flow

On a Retrial Single-Server Queueing System with Finite Buffer and Poisson Flow A retrial single-server queueing system with finite buffer is considered. The primary incoming flow is Poissonian. If the buffer is overflown, a call entering the system becomes a repeat call and joins the group of repeat calls referred to as an orbit. The maximum number of calls that can simultaneously be contained in the orbit is limited. A call from the orbit makes new attempts to enter the system until a vacancy occurs. Time between repeat attempts for each call is an exponentially distributed random variable. At the initial moment of service, a type of a call is defined: with probability a i it becomes a call of type i and its service time in this case has distribution function B i (x), i = $$\overline {1,K}$$ . For this system, the stationary joint distribution of queues in the buffer and orbit is found. Numerical examples are given. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Problems of Information Transmission Springer Journals

On a Retrial Single-Server Queueing System with Finite Buffer and Poisson Flow

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Publisher
Kluwer Academic Publishers-Plenum Publishers
Copyright
Copyright © 2001 by MAIK “Nauka/Interperiodica”
Subject
Engineering; Communications Engineering, Networks; Electrical Engineering; Information Storage and Retrieval; Systems Theory, Control
ISSN
0032-9460
eISSN
1608-3253
D.O.I.
10.1023/A:1013882108415
Publisher site
See Article on Publisher Site

Abstract

A retrial single-server queueing system with finite buffer is considered. The primary incoming flow is Poissonian. If the buffer is overflown, a call entering the system becomes a repeat call and joins the group of repeat calls referred to as an orbit. The maximum number of calls that can simultaneously be contained in the orbit is limited. A call from the orbit makes new attempts to enter the system until a vacancy occurs. Time between repeat attempts for each call is an exponentially distributed random variable. At the initial moment of service, a type of a call is defined: with probability a i it becomes a call of type i and its service time in this case has distribution function B i (x), i = $$\overline {1,K}$$ . For this system, the stationary joint distribution of queues in the buffer and orbit is found. Numerical examples are given.

Journal

Problems of Information TransmissionSpringer Journals

Published: Oct 7, 2004

References

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