Electronic Resource
Springer
Queueing systems
20 (1995), S. 433-452
ISSN:
1572-9443
Keywords:
Fluid model
;
buffer content
;
ATM protocol
;
linear logarithmic upper bound
;
Gauss-Markov fluid model
;
AR-Gaussian fluid model
Source:
Springer Online Journal Archives 1860-2000
Topics:
Computer Science
Notes:
Abstract A fluid model with infinite buffer is considered. The total net rate is a stationary Gaussian process with mean −c and covariance functionR(t). Let Ψ(x) be the probability that in steady state conditions the buffer content exceedsx. Under the condition ∫ 0 ∞ t 2 ¦R(t)¦dt〈∞ we show that Ψ admits a logarithmic linear upper bound, i.e. Ψ(x)≤Cexp[−γx]+o(exp[−γx]) and find γ and C. Special cases are worked out whenR is as in a Gauss-Markov or AR-Gaussian process.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01245328
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