| 采用D/MMDP/1/K排队模型估计GPRS中PCU桶的容量 |
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| 引用本文： | 刘明华,陆立强.采用D/MMDP/1/K排队模型估计GPRS中PCU桶的容量[J].复旦学报(自然科学版),2005,44(3):363-369. |
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| 作者姓名： | 刘明华 陆立强 |
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| 作者单位： | 复旦大学,数学研究所,上海,200433;上海水产大学,信息学院,上海,200092;复旦大学,数学研究所,上海,200433 |
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| 摘 要： | 根据某种GPRS通信中信道分配的要求，分析了动态信道的变化规律为一马尔柯夫调制定长过程(MMDP)：建立了D／MMDP／1／K排队模型；导出了一个相关马尔柯夫链的极限概率满足的方程；并求得了在线用户及Pcu桶中PDU个数的稳态概率分布．在此基础上，给出了PDU流控设计中选取经济合理的PCU桶容量K的具体操作方法。
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| 关 键 词： | MMDP D/MMDP/1/K排队模型 动态信道 几何分布 |
| 文章编号： | 0427-7104(2005)03-0363-07 |
Estimate the Size of PCU Buffer in GPRS with D/MMDP/1/K Queueing System |
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| Liu Ming-hua,LU Li-qiang.Estimate the Size of PCU Buffer in GPRS with D/MMDP/1/K Queueing System[J].Journal of Fudan University(Natural Science),2005,44(3):363-369. |
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| Authors: | Liu Ming-hua LU Li-qiang |
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| Abstract: | A new approach is proposed to estimate the PCU buffer size in a certain kind of GPRS mobile communication system.Markov Modulated Deterministic Process(MMDP) is used for modeling the changing regularity of dynamic channel and D/MMDP/1/K Queueing System for the process of PDUs' leaking from Gateway Support Node (GSN) with steady speed to Mobile Station(MS) under control of PCU.A limiting probability can be calculated numerically,and then two useful probabilities can be done as well.Some figures are also included to illustrate usefulness of the numerical results for determining the size of PCU buffer. |
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| Keywords: | MMDP |
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