Modelling and analysis of M/Ga,b/1/N queue – A simple alternative approach

Modelling and analysis of M/Ga,b/1/N queue – A simple alternative approach

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Article ID: iaor20003178
Country: Netherlands
Volume: 31
Issue: 1/2
Start Page Number: 95
End Page Number: 100
Publication Date: Mar 1999
Journal: Queueing Systems
Authors: ,
Keywords: markov processes
Abstract:

In this paper, we consider a single-server finite-capacity queue with general bulk service rule where customers arrive according to a Poisson process and service times of the batches are arbitrarily distributed. The queue is analyzed using both the supplementary variable and imbedded Markov chain techniques. The relations between state probabilities at departure and arbitrary epochs have been presented in explicit forms.

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