论文信息 - Performance analysis of M/G/1 queue with working vacations and vacation interruption

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

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.

Mian Zhang | Zhengting Hou | Mian Zhang | Z. Hou

[1] Naishuo Tian,et al. Stochastic decompositions in the M/M/1 queue with working vacations , 2007, Oper. Res. Lett..

[2] Yinghui Tang,et al. Steady state analysis and computation of the GI[x]/Mb/1/L queue with multiple working vacations and partial batch rejection , 2009, Comput. Ind. Eng..

[3] Naishuo Tian,et al. Analysis of the M/G/1 queue with exponentially working vacations—a matrix analytic approach , 2009, Queueing Syst. Theory Appl..

[4] Naishuo Tian,et al. Performance analysis of GI/M/1 queue with working vacations and vacation interruption , 2008 .

[5] B. T. Doshi,et al. Queueing systems with vacations — A survey , 1986, Queueing Syst. Theory Appl..

[6] Yutaka Baba,et al. Analysis of a GI/M/1 queue with multiple working vacations , 2005, Oper. Res. Lett..

[7] U. C. Gupta,et al. On the GI/M/1/N queue with multiple working vacations—analytic analysis and computation , 2007 .

[8] Leslie D. Servi,et al. M/M/1 queues with working vacations (M/M/1/WV) , 2002, Perform. Evaluation.

[9] Hideaki Takagi,et al. M/G/1 queue with multiple working vacations , 2006, Perform. Evaluation.

[10] Naishuo Tian,et al. The discrete-time GI/Geo/1 queue with working vacations and vacation interruption , 2007, Appl. Math. Comput..