ANALYSIS OF A FINITE BUFFER QUEUE WITH HETEROGENEOUS MARKOV MODULATEDARRIVAL PROCESSES - A STUDY OF TRAFFIC BURSTINESS AND PRIORITY PACKETDISCARDING

This paper considers a single server queueing system with a finite buf fer and multiple heterogeneous arrival streams. We focus on Markov Mod ulated Arrival processes with differing burstiness and investigate the loss of individual arrival streams when the burstiness parameters of the arrival streams are varied. In addition, we study the behavior of loss probabilities for a priority packet discarding scheme, a congesti on control mechanism suitable for high-speed networks. Several interes ting numerical results are presented. We introduce a new characterizat ion of an arrival stream, which we refer to as self-loss, and use this to qualitatively evaluate the effects of multiplexing bursty streams with non-bursty streams. The effectiveness of priority packet discardi ng is also investigated numerically, In addition, we study via simulat ion the conditional probability of packet loss given that one has occu rred.