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- W2330291831 abstract "AbstractThis paper considers the management policy of an M/M/1 queue with server breakdowns and vacations, where the arrival rate varies according to the server’s status, with the length of the vacation determined by the number of arrivals during the vacation period. The server can be turned off and takes a vacation with exponential random length whenever the system is empty. If the number of units waiting in the system at any vacation completion is less than N, the server will take another vacation. If the server returns from a vacation and finds at least N units in the system, it immediately starts to serve the waiting units. It is assumed that the server breaks down according to a Poisson process and the repair time has an exponential distribution. We derive the distribution of the system size, and employ the probability generating function to obtain the mean queue length. Other system characteristics are obtained by means of the grand process and the renewal process. Finally, the expected cost per uni..." @default.
- W2330291831 created "2016-06-24" @default.
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- W2330291831 date "2004-01-01" @default.
- W2330291831 modified "2023-09-27" @default.
- W2330291831 title "Optimal Management Policy for Heterogeneous Arrival Queueing Systems with Server Breakdowns and Vacations" @default.
- W2330291831 cites W2031402207 @default.
- W2330291831 doi "https://doi.org/10.1080/16843703.2004.11673069" @default.
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