摘要本文讨论批量服务的M/M/1多重或单重工作休假排队,且假设在休假期或正规忙期每次服务掉的顾客数服从不同分布的随机变量.对该排队模型,用GI/M/1型Markov过程建模.通过求解该过程的联合平稳分布,得到了排队系统服务台平稳状态的详细刻画以及平稳队长分布的随机分解结果. |
[1] | Doshi B. Queueing systems with vacations-a survey. Queueing Systems, 1989, 1:29-66 | [2] | Tian N, Zhang Z. Vacation queueing models-theory and applications. New York:Springer, 2006 | [3] | Servi L, Finn S. M/M/1 queues with working vacations (M/M/1/WV). Performance Evaluation, 2002, 50:41-52 | [4] | Liu W, Xu X, Tian N. Stochastic decompositions in the M/M/1 queue with working vacations. Operations Research Letters, 2007, 35:595-600 | [5] | Tian N, Zhao X, Wang K. The M/M/1 queue with single working vacation. International Journal of Information and Management Sciences, 2008, 19:621-634 | [6] | Baba Y. Analysis of a GI/M/1 queue with multiple working vacations. Operations Research Letters, 2005, 33:201-209 | [7] | Wu D, Takagi H. M/G/1 queue with multiple working vacations. Performance Evaluation, 2006, 63:654-681 | [8] | Li J, Tian N. Performance analysis of a GI/M/1 queue with single working vacation. Applied Mathematics and Computation, 2011, 217:4960-4971 | [9] | Gao S, Liu Z. An M/G/1 queue with single working vacation and vacation interruption under Bernoulli schedule. Applied Mathematical Modelling, 2013, 37:1564-1579 | [10] | Li J, Zhang Z, TIan N. Analysis for the MX/M/1 working vacation queue. International Journal of Information and Management Sciences, 2009, 20:379-394 | [11] | Baba Y. The MX/M/1 queue with multiple working vacation. American Journal of Operations Research, 2012, 2:217-224 | [12] | Bailey N. On queueing processes with bulk service. Journal of the Royal Statistical Society, Series B, 1954, 61:80-87 | [13] | Jeyakumar S, Senthilnathan B. Steady analysis of bulk arrival and bulk service queueing model with multiple working vacations. International Journal of Mathematics in Operational Research, 2016, 9:375-394 | [14] | Jeyakumar S, Senthilnathan B. Modelling and analysis of a bulk service queueing model with multiple working vacations and server breakdown. RAIRO-Operations Research, 2017, 51:485-508 | [15] | Li Q. Constructive computation in stochastic models with applications, the RG-factorizations. Beijing:Tsinghua University Press, New York:Springer, 2010 |
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