Calculation of Steady‐State Probabilities for Content of Buffer with Correlated Inputs

In a previous paper, a model for the behavior of a switching node that receives data from many terminals over low‐speed access lines was considered. In this paper, we give the details of an alternate procedure for calculating the steady‐state probabilities for the buffer content. It is shown that a finite system of linear equations may be obtained for calculating the steady‐state probability that the buffer content is i. In a particular case of interest, explicit formulas are derived for the number of equations which arise in this procedure, for each value of i. Some detailed calculations are given for one example.