Analysis of a GI/M/1 queue with multiple working vacations |
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| Authors: | Yutaka Baba |
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| Affiliation: | Department of Mathematics Education, Faculty of Education and Human Sciences, Yokohama National University, 79-2 Tokiwadai, Hodogaya, Yokohama 240-8501, Japan |
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| Abstract: | Consider a GI/M/1 queue with vacations such that the server works with different rates rather than completely stops during a vacation period. We derive the steady-state distributions for the number of customers in the system both at arrival and arbitrary epochs, and for the sojourn time for an arbitrary customer. |
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| Keywords: | GI/M/1 queue Working vacation Embedded Markov chain Matrix-geometric approach |
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