Batch arrival queues under vacation policies with server breakdowns and startup/closedown times |
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Authors: | Jau-Chuan Ke |
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Institution: | Department of Statistics, National Taichung Institute of Technology, No. 129, Sec. 3, Sanmin Rd., Taichung 404, Taiwan, ROC |
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Abstract: | This paper studies the operating characteristics of an Mx]/G/1 queueing system under vacation policies with startup/closedown times, where the vacation time, the startup time, and the closedown time are generally distributed. When all the customers are served in the system exhaustively, the server shuts down (deactivates) by a closedown time. After shutdown, the server operates one of (1) multiple vacation policy and (2) single vacation policy. When the server reactivates since shutdown, he needs a startup time before providing the service. If a customer arrives during a closedown time, the service is immediately started without a startup time. The server may break down according to a Poisson process while working and his repair time has a general distribution. We analyze the system characteristics for the vacation models. |
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Keywords: | Closedown Multiple vacation Startup Un-reliable Single vacation |
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