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• W4386627013 abstract "In this paper, we investigate a GI X/M/1 queue with the two-stage vacation policy. The system will first enter a working vacation once the system becomes empty in the normal busy period, during which the service rate will be switched to a lower rate. After this working vacation, if the system is nonempty, the service rate will be switched to the normal rate immediately; otherwise, the system will enter multiple vacations during which the service rate reduces to zero until the system is nonempty after one vacation and a new normal busy period starts. The distinguishing feature of this paper is the use of a general algorithm for solving the difference equation based on the right shift operator method to obtain the queue length distribution at pre-arrival time and arbitrary time. Moreover, the sojourn time of arbitrary customer is analyzed. Finally, several typical numerical examples are provided to validate our computational algorithm." @default.
• W4386627013 created "2023-09-13" @default.
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• W4386627013 date "2023-09-12" @default.
• W4386627013 modified "2023-09-27" @default.
• W4386627013 title "Analysis of a GI^X/M/1 queue with two-stage vacation policy using shift operator method" @default.
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• W4386627013 doi "https://doi.org/10.1080/03610926.2023.2250488" @default.
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