Open problems in Gaussian fluid queueing theory

K. Dȩbicki (1) , M. Mandjes (2, 3, 4)

1 Mathematical Institute [Wroclaw]
2 Korteweg-de Vries Institute for Mathematics
3 EURANDOM - European Institute for Statistics, Probability, Stochastic Operations Research and its Applications
4 CWI

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 of the stationary buffer content process, the , and analysis of an associated with the stationary buffer content distribution (the so-called ).

Mots clés: Buffer content process; Fractional Brownian motion; Gaussian processes; Queues; 60G15; 60G70

Domaines: Réseaux et télécommunications [cs.NI]

K. Dȩbicki, M. Mandjes. Open problems in Gaussian fluid queueing theory. Queueing Systems, 2011, 68 (3-4), pp.267-273. ⟨10.1007/s11134-011-9237-y⟩. ⟨hal-00842013⟩