Performance analysis of GI/M/1 queue with working vacations and vacation interruption |
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Authors: | Ji-Hong Li Nai-Shuo Tian Zhan-You Ma |
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Affiliation: | 1. College of Economics and Management, Yanshan University, Qinhuangdao 066004, China;2. College of Science, Yanshan University, Qinhuangdao 066004, China |
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Abstract: | In this paper, we analyze a single-server vacation queue with a general arrival process. Two policies, working vacation and vacation interruption, are connected to model some practical problems. The GI/M/1 queue with such two policies is described and by the matrix analysis method, we obtain various performance measures such as mean queue length and waiting time. Finally, using some numerical examples, we present the parameter effect on the performance measures and establish the cost and profit functions to analyze the optimal service rate η during the vacation period. |
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Keywords: | Vacation interruption Working vacations Embedded Markov chain Matrix-analysis approach Numerical analysis |
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