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In this paper we consider a single server finite buffer queue wherein arrivals are governed by Markovian arrival process (MAP) and the service times are arbitrarily distributed. Using the supplementary variable method, the relations among the limiting queue size distributions at post-departure, arbitrary and pre-arrival epochs are obtained. Furthermore, similar results have also been derived for the...
In this paper, we consider a finite-buffer bulk-arrival queue with interarrivai and service times distributed as arbitrarily and Erlang-k, respectively. A complete analysis of this model including the relations among the state probabilities at various epochs, waiting time analysis and performance measures are presented. Furthermore, the analysis is carried out for both partially and totally batch...
We consider a single-server finite-buffer queue with general bulk service rule where customers arrive according to a Poisson process and service times of the batches are arbitrarily distributed. Using the embedded Markov chain technique we first obtain the steady-state joint distribution of the number of customers in the queue and number with the departing batch at departure-epoch. Further in order...
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