Asymptotic behavior of a multiplexer fed by a long-range dependent process
1999 ◽
Vol 36
(01)
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pp. 105-118
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Keyword(s):
In this paper we study the asymptotic behavior of the tail of the stationary backlog distribution in a single server queue with constant service capacity c, fed by the so-called M/G/∞ input process or Cox input process. Asymptotic lower bounds are obtained for any distribution G and asymptotic upper bounds are derived when G is a subexponential distribution. We find the bounds to be tight in some instances, e.g. when G corresponds to either the Pareto or lognormal distribution and c − ρ < 1, where ρ is the arrival rate at the buffer.
1999 ◽
Vol 36
(1)
◽
pp. 105-118
◽
Keyword(s):
1979 ◽
Vol 26
(3)
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pp. 487-497
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1989 ◽
Vol 26
(02)
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pp. 390-397
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Keyword(s):
Keyword(s):
1989 ◽
Vol 26
(02)
◽
pp. 381-389
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1995 ◽
Vol 32
(04)
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pp. 1103-1111
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