Transient analysis of the D-BMAP/G/1 queue with an application to the dimensioning of a playout buffer for VBR video

Abstract

In this paper the D-BMAP/G/1 queue is considered. The goal is to derive an explicit expression for the transform of the queueing delay of the nth arriving customer, based on a transient analysis. While deriving this transform, intermediate results such as an explicit expression for the transform of the probability of having an empty system at the nth departure, are also obtained. These results are then applied to the dimensioning of a playout buffer for variable bit rate video traffic. © IFIP International Federation for Information Processing 2004.