On the service time distribution and the waiting time process of a potentially infinite capacity queueing system
Keyword(s):
In [1] the authors dealt with a particular queueing system in which arrivals occurred in a Poisson stream and the probability differential of a service completion was μσn when the queue contained n customers. Much of the theory could not be carried out further analytically for a general σn, which is a purely n-dependent quantity. To carry the analysis further to the extent of finding the “effective” service time and the waiting time distribution when σn is a linear function of n, (which is considered to be rather general and sufficient for practical purposes), constitutes the subject matter of this paper.
1969 ◽
Vol 6
(03)
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pp. 594-603
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1997 ◽
Vol 34
(03)
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pp. 773-784
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1986 ◽
Vol 23
(02)
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pp. 555-561
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