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A simple analysis of system characteristics in the batch service queue with infinite-buffer and Markovian service process using the roots method: GI/C-MSP(a,b)/1/∞.

, , , and . RAIRO Oper. Res., 50 (3): 519-551 (2016)

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On Computations of the Mean and Variance of the Number of Renewals: A Unified Approach. The Journal of the Operational Research Society, 46 (11): 1352--1364 (1995)On the relations among the distributions at different epochs for discrete-time GI/Geom/1 queues., , and . Oper. Res. Lett., 18 (5): 247-255 (1996)Efficient Computational Analysis of Stationary Probabilities for the Queueing System BMAP/G/1/N With or Without Vacation(s)., and . INFORMS J. Comput., 29 (1): 140-151 (2017)An alternative method for computing system-length distributions of BMAP/R/1 and BMAP/D/1 queues using roots., , and . Perform. Evaluation, (2016)Transient/steady-state solution of a single channel queue with bulk arrivals and intermittently available server. Statistics, 5 (4): 307--314 (1974)On the Consecutive Customer Loss Probabilities in a Finite-Buffer Renewal Batch Input Queue with Different Batch Acceptance/Rejection Strategies Under Non-renewal Service., , and . SocProS (1), volume 816 of Advances in Intelligent Systems and Computing, page 45-62. Springer, (2017)The queueing system Ek/Ma, b/1 and its numerical analysis., and . Comput. Oper. Res., 9 (3): 197-205 (1982)Computing steady-state queueing-time distributions of single-server queues: GIX/M/1., , and . ZOR Methods Model. Oper. Res., 37 (1): 13-29 (1993)A simple analysis of system characteristics in the batch service queue with infinite-buffer and Markovian service process using the roots method: GI/C-MSP(a,b)/1/∞., , , and . RAIRO Oper. Res., 50 (3): 519-551 (2016)A note on the distribution of abusy period for M/M/C queuing system, and . Statistics, 4 (1): 75--79 (1973)