Open problems in Gaussian fluid queueing theory

K.G. Debicki; M.R.H. Mandjes

doi:10.1007/s11134-011-9237-y

Open problems in Gaussian fluid queueing theory

K.G. Debicki, M.R.H. Mandjes

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Abstract

We present three challenging open problems that originate from the analysis of the asymptotic behavior of Gaussian fluid queueing models. In particular, we address the problem of characterizing the correlation structure of the stationary buffer content process, the speed of convergence to stationarity, and analysis of an asymptotic constant associated with the stationary buffer content distribution (the so-called Pickands constant).

Original language	English
Pages (from-to)	267-273
Journal	Queueing Systems
Volume	68
Issue number	3-4
DOIs	https://doi.org/10.1007/s11134-011-9237-y
Publication status	Published - 2011

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abstract = "We present three challenging open problems that originate from the analysis of the asymptotic behavior of Gaussian fluid queueing models. In particular, we address the problem of characterizing the correlation structure of the stationary buffer content process, the speed of convergence to stationarity, and analysis of an asymptotic constant associated with the stationary buffer content distribution (the so-called Pickands constant).",

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AB - We present three challenging open problems that originate from the analysis of the asymptotic behavior of Gaussian fluid queueing models. In particular, we address the problem of characterizing the correlation structure of the stationary buffer content process, the speed of convergence to stationarity, and analysis of an asymptotic constant associated with the stationary buffer content distribution (the so-called Pickands constant).

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JO - Queueing Systems

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Open problems in Gaussian fluid queueing theory

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