Transient behaviour of finite capacity tandem queues with blocking

The transient output process from tandem qucueing systems with no wailing positions is analysed. Our system is subject to blocking; that is, a unit cannot move to the second queue until it completes service at the first queue and the second queue is not busy. Expressions arc derived for the expected output time of the nth unit when the system is initially empty and these expressions are used to derive the throughput of these systems in equilibrium. For the systems studied, placing a faster server ahead of a slower server maximizes the throughput.