The queueing system EkMa,b1 and its numerical analysis

In this paper steady-state random-point results for single-server bulk-service system ${}_{\mathrm{k}}\text{M}{}^{\mathrm{a,b}}\text{1}$ are related to imbedded Markov Chain results using the Erlangian technique. Steady-state results, including the expected number in queue at random and arrival epochs, and waiting time distribution are found in terms of the unique root of the characteristic equation. Examples of extensive numerical work are presented in tabular forms.