Analysis of the MAP/Ga,b/1/N queue

Analysis of the MAP/Ga,b/1/N queue

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Article ID: iaor2004838
Country: Netherlands
Volume: 38
Issue: 2
Start Page Number: 109
End Page Number: 124
Publication Date: Jun 2001
Journal: Queueing Systems
Authors: ,
Keywords: MAP/G/1 queues
Abstract:

The Markovian arrival process (MAP) is used to represent the bursty and correlated traffic arising in modern telecommunication network. In this paper, we consider a single server finite capacity queue with general bulk service rule in which arrivals are governed by MAP and service times are arbitrarily distributed. The distributions of the number of customers in the queue at arbitrary, post-departure and pre-arrival epochs have been obtained using the supplementary variable and the embedded Markov chain techniques. Computational procedure has been given when the service time distribution is of phase type.

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