ANALYSIS OF A MULTI-SERVER QUEUE WITH MARKOVIAN ARRIVALS AND SYNCHRONOUS PHASE TYPE VACATIONS

Srinivas R. Chakravarthy ()
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Srinivas R. Chakravarthy: Department of Industrial and Manufacturing Engineering, Kettering University, Flint, MI 48504, USA

Asia-Pacific Journal of Operational Research (APJOR), 2009, vol. 26, issue 01, 85-113

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

Keywords: Markovian arrival process; vacation; queueing; waiting time; phase type distribution; algorithmic probability (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:wsi:apjorx:v:26:y:2009:i:01:n:s0217595909002134

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DOI: 10.1142/S0217595909002134

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