In this article we study the stationary efficiency of a system consisting of a finite capacityudbuffer connected to two different customers with bursty on-off demands. We assume that theudbuffer is filled up at a constant rate. The dynamic of the overall system is modeled usinguda semi-Markov evolution environment and we derive design formulae involving the mainudparameters. It has been shown that it is possible to use the phase merging algorithm (PMA) toudreduce the semi-Markov process to an approximated Markov process. We apply the PMA to theudanalysis of two different semi-Markov cases.
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