| 具有批到达的滞后排队系统分析 |
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| 引用本文： | 周文慧,尹小玲. 具有批到达的滞后排队系统分析[J]. 应用数学与计算数学学报, 2002, 16(2): 45-52 |
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| 作者姓名： | 周文慧 尹小玲 |
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| 作者单位： | 中山大学统计科学系,广州,510275 |
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| 摘 要： | 本文考虑一个基本模型的M^[x]/G^[r]/1/∞的排队系统，引入了(r,N）－策略（也称为滞后系统），首先分析了嵌入马氏链{Qn,n∈N}的平稳分布，得到其概率母函数Ｐ(z)，再利用半再生过程理论得到原系统的稳态队长分布的概率母函数π（ｚ）。
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| 关 键 词： | 批到达 滞后排队系统 广义奇次泊松过程 马氏链 半再生过程 遍历 母函数 |
| 修稿时间： | 2001-12-10 |
Analysis of Hysteretic Queueing System with Batch Arrival |
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| WENHUI ZHOU XIAOLING YIN. Analysis of Hysteretic Queueing System with Batch Arrival[J]. Communication on Applied Mathematics and Computation, 2002, 16(2): 45-52 |
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| Authors: | WENHUI ZHOU XIAOLING YIN |
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| Abstract: | This paper consider the queueing system based on the M[x]/G[r]/1/ model.We introduced (r, N)-poIicy (with this policy system is called hysteretic system). At first,we analyzed the embedded Markov chain {Qn,n N}, and obtained the probability generation function P(z). Then by the semi-regeneration process theory, we obtianed the probability generation function of the number of customer in the system n(Z). |
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| Keywords: | Batch arrival queue system (r N)-policy semi-regeneration process. |
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