Analysis of a multi-server queue with Markovian arrivals and synchronous phase type vacations

Analysis of a multi-server queue with Markovian arrivals and synchronous phase type vacations

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Article ID: iaor200962777
Country: Singapore
Volume: 26
Issue: 1
Start Page Number: 85
End Page Number: 113
Publication Date: Feb 2009
Journal: Asia-Pacific Journal of Operational Research
Authors:
Keywords: vacation models, MAP/M/c queues
Abstract:

We study a MAP/M/c queueing system in which a group of servers take a simultaneous phase type vacation. The queueing model is studied as a QBD process. The steady-state analysis of the model including the waiting time distribution is presented. Interesting numerical results are discussed.

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