MAP/PH/1 queue with working vacations, vacation interruptions and N Policy
Applied Mathematical Modelling
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.
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Sreenivasan, C.; Chakravarthy, Srinivas R.; and Krishnamoorthy, A., "MAP/PH/1 queue with working vacations, vacation interruptions and N Policy" (2013). Industrial & Manufacturing Engineering Publications. 55.