Technical Report Number
It is shown that when a continuous buffer is driven by a semi-Markox modulated fluid flow source(s), the stationary distribution of the buffer content is governed by the same differential equation describing the distribution for continuous time Markov modulated fluid source(s) . It is also shown that the same techniques can be utilized to decompose and solve the eigenvalue problem associated with the differential equation . Finally it is shown that the stationary distribution of buffer content depends only on the mean time spent by each multiplexed semi-Markov source in each state.
Bovopoulos, Andreas D. and Hosseini-Khayat, Saied, "Statistical Multiplexing of Semi-Markov Modulated Sources" Report Number: WUCS-92-18 (1992). All Computer Science and Engineering Research.