Rate conservation analysis of the multiclass M/G/1/B queue

Packet blocking in the multiclass M/G/1/B queueing systems is studied by rate conservation methods. It is assumed that two classes of traffic are accessing the queue. Recursive forms are obtained for the packet loss probability and conditional probability of consecutive blocking for class one traffic, with the other class modeling the background traffic. The latter characterizes the distribution of the number of consecutively class one packets blocked. It is shown that these quantities depend essentially on the joint distribution of the queue length and the residual service time. This joint distribution is recursively computed by analyzing, through rate conservation principles, the embedded queue at arrival times