Performance analysis of discrete-time GI/D-MSP<SUP align=right>a;b</SUP>/1/N queue

Abstract

This paper presents a discrete-time single-server finite buffer queue with renewal input and discrete Markovian service process (D-MSP) where server serves customers in batches according to general batch service rule. Using the supplementary variable and the imbedded Markov chain techniques, we obtain the queue-length distributions at pre-arrival and arbitrary epochs. Some performance measures such as loss probability, mean queue length and mean waiting time in the queue along with some numerical results have also been discussed.