The M^{X}/M/1 Queue with Multiple Working Vacation

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References

[1] H. Takagi, “Queueing Analysis: A Foundation of Performance Evaluation, Vol. 1: Vacation and Priority Systems, Part 1,” Elsevier Science Publishers, Amsterdam, 1991.

[2] N. Tianand and G. Zhang, “Vacation Queueing Models- Theory and Applications,” Springer-Verlag, New York, 2006.

[3] B. Doshi, “Queueing Systems with Vacations—A Survey,” Queueing Systems, Vol. 1, No. 1, 1986, pp. 29-66.
doi:10.1007/BF01149327

[4] L. Servi and S. Finn, “M/M/1 Queue with with Working Vacations (M/M/1/WV),” Performance Evaluation, Vol. 50, No. 1, 2002, pp. 41-52.
doi:10.1016/S0166-5316(02)00057-3

[5] D. Wuand and H. Takagi, “M/G/1 Queue with Multiple Working Vacations,” Performance Evaluation, Vol. 64, 2006, pp. 654-681.

[6] Y. Baba, “Analysis of a GI/M/1 Queue with Multiple Working Vacations,” Operations Research Letters, Vol. 33, No. 2, 2005, pp. 201-209.
doi:10.1016/j.orl.2004.05.006

[7] A. Banik, U. Gupta and S. Pathak, “On the GI/M/1/N Queue with Multiple Working Vacations-Analytic Analysis and Computation,” Applied Mathematical Modelling, Vol. 31, No. 9, 2007, pp. 1701-1710.
doi:10.1016/j.apm.2006.05.010

[8] W. Liu, X. Xu and N. Tian, “Some Results on the M/M/1 Queue with Working Vacations,” Operations Research Letters, Vol. 35, No. 5, 2007, pp. 595-600.
doi:10.1016/j.orl.2006.12.007

[9] J. Li, N. Tian, Z. G. Zhang and H. P. Lu, “Analysis of the M/G/1 Queue with Exponential Working Vacations-A Matrix Analytic Approach,” Queueing Systems, Vol. 61, No. 2-3, 2009, pp. 139-166.
doi:10.1007/s11134-008-9103-8

[10] X. Xu, Z. Zhang and N. Tian, “Analysis for the M[X]/M/1 Working Vacation Queue,” International Journal of Information and Management Sciences, Vol. 20, 2009, pp. 379-394.

[11] M. F. Neuts, “Structured Stochastic Matrices of M/G/1 Type and Their Applications,” MarcelDekker Inc., New York, 1989.

[12] P. J. Burke, “Delay in Single-Server Queues with Batch Arrivals,” Operations Research, Vol. 23, No. 4, 1975, pp. 830-833. doi:10.1287/opre.23.4.830