References
- J. R. Artalejo, Analysis of an M/G/1 queue with constant repeated attempts and server vacations, Comput. Oper. Res. 24 (1997), no. 6, 493-504. https://doi.org/10.1016/S0305-0548(96)00076-7
- J. R. Artalejo and A. Gomez-Corral, Retrial Queueing Systems, A Computational Approach, Hidelberg, Springer-Verlag, 2008.
- F. Bacelli and P. Bremaud, Elements of Queueing Theory, Palm Martingale Calculus and Stochastic Recurrences, 2nd ed., Hidelberg, Springer-Verlag, 2003.
- L. Breuer, A. Dudin, and V. Klimenok, A Retrial BMAP/PH/N system, Queueing Syst. 40 (2002), no. 4, 433-457. https://doi.org/10.1023/A:1015041602946
- G. Choudhury, Steady state analysis of an M/G/1 queue with linear retrial policy and two phase service under Bernoulli vacation schedule, Appl. Math. Model. 32 (2008), no. 12, 2480-2489. https://doi.org/10.1016/j.apm.2007.09.020
- G. Choudhury and J. C. Ke, A batch arrival retrial queue with general retrial times under Bernoulli vacation schedule for unreliable server and delaying repair, Appl. Math. Model. 36 (2012), no. 1, 255-269. https://doi.org/10.1016/j.apm.2011.05.047
- J. E. Diamond and A. S. Alfa, Matrix analytic methods for a multi-server retrial queue with buffer, Top 7 (1999), no. 2, 249-266. https://doi.org/10.1007/BF02564725
- G. I. Falin and J. G. C. Templeton, Retrial Queues, London, Chapman, Hall, 1997.
- A. Graham, Kronecker Products and Matrix Calculus with Applications, Ellis Horwood Ltd., 1981.
- Q. M. He, H. Li, and Y. Q. Zhao, Ergodicity of the BMAP/PH/s/s + K retrial queue with PH-retrial times, Queueing Systems Theory Appl. 35 (2000), no. 1-4, 323-347. https://doi.org/10.1023/A:1019110631467
- J. C. Ke, C. H. Lin, J. Y. Yang, and Z. G. Zhang, Optimal (d, c)vacation policy for a finite buffer M/M/c queue with unreliable servers and repairs, Appl. Math. Model. 33 (2009), no. 10, 3949-3963. https://doi.org/10.1016/j.apm.2009.01.008
- B. Kim, Stability of a retrial queueing network with different class of customers and restricted resource pooling, J. Ind. Manag. Optim. 7 (2011), no. 3, 753-765. https://doi.org/10.3934/jimo.2011.7.753
- J. Kim and B. Kim, A survey of retrial queueing systems, Ann. Oper. Res.; DOI 10.1007/s10479-015-2038-7.
- B. K. Kummar, R. Rukmani, and V. Thangaraj, An M/M/c retrial queueing system with Bernoulli vacations, J. Syst. Sci. Syst. Eng. 18 (2009), 222-242. https://doi.org/10.1007/s11518-009-5106-1
- G. Latouche and V. Ramaswami, Introduction to Matrix Analytic Methods in Stochastic Modelling, Philadelphia, ASA-SIAM, 1999.
- D. Lucantoni, New results on the single server queue with a batch Markovian arrival process, Comm. Statist. Stochastic Models 7 (1991), no. 1, 1-46. https://doi.org/10.1080/15326349108807174
- E. Morozov, A multiserver retrial queue: regenerative stability analysis, Queueing Syst. 56 (2007), no. 3-4, 157-168. https://doi.org/10.1007/s11134-007-9024-y
- M. F. Neuts, Matrix-Geometric Solutions in Stochastic Models - An Algorithmic Approach, Baltimore, Johns Hopkins University Press, 1981.
- Y. W. Shin, Monotonocity properties in various retrial queues and their applications, Queueing Syst. 53 (2006), 147-157. https://doi.org/10.1007/s11134-006-6702-0
- D. Stoyan, Comparison Methods for Queues and Other Stochastic Models, John Wiley & Sons, New York, 1983.
- H. Takagi, Queueing Analysis, Vol. 1. Vacation Systems, Elsevier Science, Amsterdam, 1991.
- N. Tian and Z. G. Zhang, Vacation Queuing Models: Theory and Applications, Springer, New York, 2006.
- R. L. Tweedie, Sufficient conditions for regularity, recurrence and ergodicity of Markov processes, Math. Proc. Cambridge Philos. Soc. 78 (1975), part 1, 125-136. https://doi.org/10.1017/S0305004100051562
- X. Xu and Z. G. Zhang, Analysis of multiple-server queue with a single vacation (e, d)-policy, Performance Evaluation 63 (2006), 825-838. https://doi.org/10.1016/j.peva.2005.09.003
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