Analysis of the MAP/G/1/N queue with multiple vacations |
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Authors: | K Sikdar |
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Institution: | Department of Mathematics, Indian Institute of Science, Bangalore, India |
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Abstract: | This paper deals with a batch service queue and multiple vacations. The system consists of a single server and a waiting room of finite capacity. Arrival of customers follows a Markovian arrival process (MAP). The server is unavailable for occasional intervals of time called vacations, and when it is available, customers are served in batches of maximum size ‘b’ with a minimum threshold value ‘a’. We obtain the queue length distributions at various epochs along with some key performance measures. Finally, some numerical results have been presented. |
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Keywords: | Batch-service Finite-buffer Markovian arrival process Multiple vacations Queue |
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