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) [1]. It is also shown that the same techniques can be utilized to decompose and solve the eigenvalue problem associated with the differential equation [6]. 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
