Batch arrival queue with N-policy and at most J vacations |
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| Authors: | Jau-Chuan Ke Hsin-I Huang Yunn-Kuang Chu |
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| Institution: | aDepartment of Applied Statistics, National Taichung Institute of Technology, Taichung 404, Taiwan, ROC;bDepartment of Computer Science and Information Engineering, National Taichung Institute of Technology, Taichung 404, Taiwan, ROC |
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| Abstract: | This paper studies the operating characteristics of an Mx]/G/1 queueing system with N-policy and at most J vacations. The server takes at most J vacations repeatedly until at least N customers returning from a vacation are waiting in the queue. If no customer arrives by the end of the Jth vacation, the server becomes idle in the system until the number of arrivals in the queue reaches N. We derive the system size distribution at a random epoch and departure epoch, as well as various system characteristics. |
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| Keywords: | Busy period distribution Idle period distribution System size Supplemental variable Waiting time distribution |
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