Generalized Pickands constants (2008)
K. Debicki, Mathematisch Centrum (smc, The Dutch Foundation
and their applications. SMC is sponsored by the Netherlands Organization for Scientific Research (NWO). CWI is a member of
K. Debicki, Z. Palmowski, Krzysztof Debicki, Zbigniew Palmowski
We consider fluid models with infinite buffer size. Let fZN (t)g be the net input rate to the buffer where fZN (t)g is a superposition of N homogeneous alternating on-off flows. Under heavy traffic...
K. Debicki, Z. Palmowski, Krzysztof Debicki, Zbigniew Palmowski
On-off fluid models in heavy traffic environment
Generalized Pickands constants (2007)
K. Debicki, Mathematisch Centrum (smc, The Dutch Foundation, Copyright Stichting, Mathematisch Centrum, Krzysztof Debicki
and their applications. SMC is sponsored by the Netherlands Organization for Scientific Research (NWO). CWI is a member of
A note on large-buffer asymptotics for generalized processor sharing with Gaussian inputs (2007)
Abstract In a previous study by D¿bicki and van Uitert (Queueing Syst. 54, 111¿120, 2006) logarithmic large-buffer asymptotics were derived for a two-class generalized processor sharing system...
A tandem queue with Levy input: a new representation of the downstream queue length. (2007)
Debicki, K., Mandjes, M.R.H., Uitert, M. Van
Abstract In this article we present a new representation for the steady-state distribution of the workload of the second queue in a two-node tandem network. It involves the difference of two suprema...
A note on large-buffer asymptotics for generalized processor sharing with Gaussian inputs (2007)
Abstract In a previous study by Dębicki and van Uitert (Queueing Syst. 54, 111–120, 2006) logarithmic large-buffer asymptotics were derived for a two-class generalized processor sharing system...
A tandem queue with Lévy input: a new representation of the downstream queue length. (2007)
Debicki, K., Mandjes, M.R.H., Uitert, M. Van
Abstract In this article we present a new representation for the steady-state distribution of the workload of the second queue in a two-node tandem network. It involves the difference of two suprema...
Quasi-Product Forms for Lévy-Driven Fluid Networks (2007)
Debicki, K., Dieker, A.B., Rolski, T.
We study stochastic tree fluid networks driven by a multidimensional Lévy process. We are interested in (the joint distribution of) the steady-state content in each of the buffers, the busy periods,...
Quasi-product forms for Levy-driven fluid networks (2005)
Debicki, K., Dieker, A. B., Rolski, T.
We study stochastic tree fluid networks driven by a multidimensional Levy process. We are interested in (the joint distribution of) the steady-state content in each of the buffers, the busy periods,...
K. Debicki, A. B. Dieker, T. Rolski, A. B. Dieker, T. Rolski
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