Fluid queues with long-tailed activity period distributions
This is a survey paper on fluid queues, with a strong emphasis on recent attempts to represent phenomena like long-range dependence. The central model of the paper is a fluid queueing system fed by $N$ independent sources that alternate between silence and activity periods. The distribution of the activity periods of at least one source is assumed to be long-tailed, which may give rise to long-range dependence. We consider the effect of this tail behaviour on the steady-state distributions of the buffer content at embedded points in time and at arbitrary time, and on the busy period distribution. Both exact results and bounds are discussed.
|Queueing theory (msc 60K25), Performance evaluation; queueing; scheduling (msc 68M20), Queues and service (msc 90B22)|
|Logistics (theme 3), Energy (theme 4)|
|CWI. Probability, Networks and Algorithms [PNA]|
Boxma, O.J, & Dumas, V. (1997). Fluid queues with long-tailed activity period distributions. CWI. Probability, Networks and Algorithms [PNA]. CWI.