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In this paper, an M/G/1 G-queue with server breakdowns, working vacations and vacation interruption is analyzed. A breakdown at busy server is represented by the arrival of a negative customer which causes the customer being in service to be lost. After repair the server is as good as new. Using the method of supplementary variable and the matrix-analytic method,the queue length distribution and the...
In this paper, an M/G/1 queue with a working vacations and vacation interruption is analyzed. Using the method of a supplementary variable and the matrix-analytic method, we obtain the queue length distribution and service status at an arbitrary epoch under steady state conditions. Further, we provide the Laplace–Stieltjes transform (LST) of the stationary waiting time. Finally, numerical examples...
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