On the concavity of the waiting-time distribution in some GI/G/1 queues
1986 ◽
Vol 23
(02)
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pp. 555-561
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Keyword(s):
In this paper the concavity property for the distribution of a geometric random sum (geometric compound) X, + · ·· + XN is established under the assumption that Xi are i.i.d. and have a DFR distribution. From this and the fact that the actual waiting time in GI/G/1 queues can be written as a geometric random sum, the concavity of the waiting-time distribution in GI/G/1 queues with a DFR service-time distribution is derived. The DFR property of the idle-period distribution in specialized GI/G/1 queues is also mentioned.
1997 ◽
Vol 34
(03)
◽
pp. 773-784
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1989 ◽
Vol 43
(2)
◽
pp. 85-90
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Keyword(s):
1969 ◽
Vol 6
(03)
◽
pp. 594-603
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