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

Authors:
Mian Zhang;Zhengting Hou
Affiliations:
Department of Mathematics, Central South University, Changsha 410075, PR China and Department of Mathematics, Fuyang Normal College, Fuyang 236032, PR China;Department of Mathematics, Central South University, Changsha 410075, PR China
Venue:
Journal of Computational and Applied Mathematics
Year:
2010

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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.