Queue length distributions at various epochs in discrete-time D-MAP/G/1/N queue and their numerical evaluations

Discrete-time queues with discrete-Markovian arrival process (D-MAP) are useful for the investigation of telecommunication systems based on ATM. This paper addresses the modelling and analysis of the D-MAP/G/1/N queue and obtains state probabilities at various epochs using imbedded Markov chain and supplementary variable methods. Further, some numerical results are also presented.