Journal
APPLIED MATHEMATICAL MODELLING
Volume 37, Issue 6, Pages 3879-3893Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2012.07.054
Keywords
Working vacation; Vacation interruption; Markov; Phase type distribution; Algorithmic probability
Funding
- University Grants Commission, Govt. of India, under Faculty Development Program [F.FIP/11th Plan/KLCA042TF02]
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In this paper we study a MAP/PH/1 queueing model in which the server is subject to taking vacations and offering services at a lower rate during those times. The service is returned to normal rate whenever the vacation gets over or when the queue length hits a specific threshold value. This model is analyzed in steady state using matrix analytic methods. An illustrative numerical example is discussed. (C) 2012 Elsevier Inc. All rights reserved.
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