Far East Journal of Theoretical Statistics
Volume 6, Issue 1, Pages 73 - 80
(January 2002)
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THE TRUNCATED HYPEREXPONENTIAL SERVICE QUEUES:
WITH BALKING AND RENEGING
A. I. Shawky (Egypt) and M. S. El-Paoumy (Egypt)
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Abstract: The present paper deals with the steady-state solution of the
queueing system:
with balking and reneging in which (i) units arrive according to a Poisson
distribution, (ii) the queue discipline is FIFO; and (iii) the service time
distribution is hyperexponential with k branches. Recurrence relations
connecting the various probabilities introduced are found. Some measures of
effectiveness are deduced and some special cases are also obtained. |
Keywords and phrases: hyperexponential
queues, balking and reneging concepts. |
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