| 含特殊类顾客有限容量的两级串联排队系统的平稳性态 |
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| 引用本文： | 闫俊娜,刘倩.含特殊类顾客有限容量的两级串联排队系统的平稳性态[J].徐州师范大学学报(自然科学版),2013(1):28-33. |
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| 作者姓名： | 闫俊娜 刘倩 |
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| 作者单位： | 安阳师范学院人文管理学院数学与信息工程系,河南安阳455000 |
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| 摘 要： | 在有限容量的两级串联排队系统的基础上,增加特殊类顾客的到达,研究模型M(x)/M/c→(M)/M/n/K.用矩阵几何分析的方法得出了系统模型的Q矩阵,运用拟生灭过程的方法给出了系统平稳的充要条件、平稳队长分布及其算法.
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| 关 键 词： | 串联排队系统 拟生灭过程 特殊服务 成批到达 |
Stationary behavior of the two-stage tandem queueing system with special customers and finite capacity |
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| Yan Junna,Liu Qian.Stationary behavior of the two-stage tandem queueing system with special customers and finite capacity[J].Journal of Xuzhou Normal University(Natural Science Edition),2013(1):28-33. |
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| Authors: | Yan Junna Liu Qian |
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| Institution: | (Department of Mathematics ＆ Information Engineering,Humanistic Management College, Anyang Normal University,Anyang 455000,Henan,China) |
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| Abstract: | In this paper, the arrival of special customers is increased on the basis of the finite capacity of the two-stage tandem queuing system. The model M^（x）/M/c→（M）/M/n/K is studied. The transferring probability matrix of the system is presented. The sufficient and necessary conditions for the system stability are verified by the theory of quasi-birth-and-death（QBD） process, and the distribution of stationary queue length and its algorithm are obtained. |
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| Keywords: | tandem queuing system quasi-hirth-and-death（QBD） process arriving in batch special service |
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