On the time-dependent occupancy and backlog distributions for the GI/G/∞ queue
1999 ◽
Vol 36
(2)
◽
pp. 558-569
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Keyword(s):
We consider an infinite server queueing system. An examination of sample path dynamics allows a straightforward development of integral equations having solutions that give time-dependent occupancy (number of customers) and backlog (unfinished work) distributions (conditioned on the time of the first arrival) for the GI/G/∞ queue. These integral equations are amenable to numerical evaluation and can be generalized to characterize GIX/G/∞ queue. Two examples are given to illustrate the results.
Keyword(s):
1990 ◽
Vol 22
(03)
◽
pp. 764-767
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Keyword(s):
A new look at transient versions of Little's law, and M/G/1 preemptive last-come-first-served queues
2010 ◽
Vol 47
(2)
◽
pp. 459-473
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Keyword(s):
1990 ◽
Vol 48
(1)
◽
pp. 89-100
◽
A new look at transient versions of Little's law, and M/G/1 preemptive last-come-first-served queues
2010 ◽
Vol 47
(02)
◽
pp. 459-473
◽
Keyword(s):
1981 ◽
Vol 18
(02)
◽
pp. 561-567
◽
Keyword(s):