A short note on the GI/Geo/1GI/Geo/1 queueing system

In this paper, we present the steady-state system-length distributions at intermediate, outside observer’s, post-departure and pre-service completion epochs for the GI/Geo/1GI/Geo/1 queue. It is also shown that in the limiting case, the results given in this paper tend to the continuous-time counterpart.