On the quasi-stationary distributions of the GI/M/1 queue
1972 ◽
Vol 9
(01)
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pp. 117-128
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Keyword(s):
This paper studies the existence, in a stable GI/M/1 queue, of the limit as t → ∞ of the distribution of the virtual waiting time process at time t conditioned on the event that at no time in the interval [0, t] the queue has become empty. The conditional limit distribution obtained when the traffic intensity is strictly less than one is the weighted sum of an exponential and a gamma distribution. Similar conditional limit distributions are obtained for the queue size process and the waiting time process as defined by Prabhu (1964).
Keyword(s):
1972 ◽
Vol 9
(04)
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pp. 821-831
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1974 ◽
Vol 11
(02)
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pp. 355-362
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Keyword(s):
Keyword(s):
1989 ◽
Vol 21
(02)
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pp. 485-487
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1977 ◽
Vol 9
(01)
◽
pp. 169-186
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