Performance analysis of M/G/1 queue with working vacations and vacation interruption

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Abstract

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 are presented.

MSC

60K25

Keywords

Working vacations and vacation interruption
Method of supplementary variable
M/G/1-type matrix

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