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THE TRUNCATED HYPER-POISSON QUEUES: / a,b / / k H M C N WITH BALKING, RENEGING AND GENERAL BULK SERVICE RULE
Yugoslav Journal of Operations Research • 2008
Publication Information
Authors
A. I. SHAWKY and M. S. EL-PAOUMY
Keywords
Keywords: Hyper-Poisson queues, balking, reneging, general bulk service rule
Journal
Yugoslav Journal of Operations Research
Publisher
Not Available
Volume
18
Issue
1
Pages
23-36
publication.type
International
Paper Link
Not Available
Supplementary Materials
Not Available
Abstract
Abstract: The aim of this paper is to derive the analytical solution of the
queue: / a,b / /
k H M C N with balking and reneging in which (i) units arrive according to
a hyper-Poisson distribution with k independent branches, (ii) the queue discipline is
FIFO; and (iii) the units are served in batches according to a general bulk service rule.
The steady-state probabilities, recurrence relations connecting various probabilities
introduced are found and the expected number of units in the queue is derived in an
explicit form. Also, some special cases are obtained.
queue: / a,b / /
k H M C N with balking and reneging in which (i) units arrive according to
a hyper-Poisson distribution with k independent branches, (ii) the queue discipline is
FIFO; and (iii) the units are served in batches according to a general bulk service rule.
The steady-state probabilities, recurrence relations connecting various probabilities
introduced are found and the expected number of units in the queue is derived in an
explicit form. Also, some special cases are obtained.