Open problems in Gaussian fluid queueing theory

  • Authors:
  • K. Dębicki;M. Mandjes

  • Affiliations:
  • Mathematical Institute, University of Wrocław, Wrocław, Poland 50-384;Korteweg-de Vries Institute for Mathematics, University of Amsterdam, Amsterdam, The Netherlands and Eurandom, Eindhoven University of Technology, Eindhoven, The Netherlands and CWI, Amsterdam, Th ...

  • Venue:
  • Queueing Systems: Theory and Applications
  • Year:
  • 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).