  A discrete-time batch service queue with batch renewal input and random
serving capacity rule under the late arrival delayed access system (LAS-DA),
has recently appeared in the literature [2]. In this paper, we consider the
same model under the early arrival system (EAS), since it is more applicable in
telecommunication systems where an arriving batch of packets needs to be
transmitted in the same slot in which it has arrived. In doing so, we derive
the steady-state queue length distributions at various epochs and show that in
limiting case the result gets converted to the continuous-time queue [1]. We
discuss a few numerical results as well.
