| 多服务台强占优先权排队系统分析 |
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| 引用本文： | 王守印,赵国喜. 多服务台强占优先权排队系统分析[J]. 河南师范大学学报(自然科学版), 2011, 39(3): 29-32 |
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| 作者姓名： | 王守印 赵国喜 |
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| 作者单位： | 新乡学院数学系,河南新乡,453000 |
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| 基金项目： | 河南省教育厅自然科学基金，新乡学院科技创新基金 |
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| 摘 要： | 研究一个具有两类顾客到达的多服务台(M1+M2)/M1/c随机服务系统,第一类顾客较第二类顾客具有强占优先权,且第二类顾客的进行流量限制.通过对Q矩阵排队过程的无穷小生成元矩阵进行分析,借助矩阵几何理论得到了两类顾客的稳态分布,并进行了相应的矩阵迭代分析,给出了一个具体的数值计算实例.
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| 关 键 词： | 强占优先权 流量控制 拟生灭过程 矩阵几何解 |
Preemptive Priority Queue System with Multi-servers |
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| WANG Shou-yin,ZHAO Guo-xi. Preemptive Priority Queue System with Multi-servers[J]. Journal of Henan Normal University(Natural Science), 2011, 39(3): 29-32 |
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| Authors: | WANG Shou-yin ZHAO Guo-xi |
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| Affiliation: | (Department of Mathematics,Xinxiang University,Xinxiang 453000,China) |
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| Abstract: | Studying a(M1+M2)/Mi/c queuing system with two kinds of customs and multi-servers,and the first kind of custom has preeemptive priority over the second kind of custom,and add traffic constraining on the second kind of cell.Through analyzing of infinitesimal generating matrix of the queuing system with matrix-geometric theory,the stationary distributions of the two kinds of customs are derived respectively,and the iterative analysis and a numerical calculation example are also given. |
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| Keywords: | preemptive priority traffic constraining quasi-bith-death process matrix-geometry root |
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