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MAP/PH/1 queue with working vacations,vacation interruptions and N policy |
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| Authors: | C. Sreenivasan Srinivas R. Chakravarthy A. Krishnamoorthy |
| Affiliation: | 1. Department of Mathematics, Government College, Chittur, Palakkad 678104, India;2. Department of Industrial Manufacturing Engineering, Kettering University, Flint, MI 48504, USA;3. Department of Mathematics, Cochin University of Science and Technology, Cochin 682022, India |
| Abstract: | 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. |
| Keywords: | Working vacation Vacation interruption Markov Phase type distribution Algorithmic probability |
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