| 带扰动的流体排队模型 |
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| 引用本文： | 李晋枝,马世霞. 带扰动的流体排队模型[J]. 南开大学学报(自然科学版), 2008, 41(1): 96-100 |
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| 作者姓名： | 李晋枝 马世霞 |
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| 作者单位： | [1]中央民族大学理学院,北京100081 [2]河北工业大学理学院,天津300401 |
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| 摘 要： | 考虑了一类带扰动的无限容量的流体排队模型.假设系统的服务速率是线性的,扰动由布朗运动和与过程有关的函数模拟,从而模型的容量过程满足一个随机微分方程.作为衡量排队模型的重要指标,得到了此流体模型容量过程的期望值,以及首中时的拉普拉斯变换和期望.
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| 关 键 词： | 流体模型 暂态期望 首中时 Kummer函数 fluid queue transient expectation hitting time Kummer's runetion |
| 文章编号： | 0465-7942（2008）01-0096-05 |
| 收稿时间： | 2005-05-11 |
| 修稿时间： | 2005-05-11 |
A Fluid Queue with Perturbation |
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| Li Jinzhi,Ma Shixia. A Fluid Queue with Perturbation[J]. Acta Scientiarum Naturalium University Nankaiensis, 2008, 41(1): 96-100 |
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| Authors: | Li Jinzhi Ma Shixia |
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| Abstract: | An infinite-capacity fluid queue model with perturbation and linear service rate is studied. The variability of the traffic is modeled by a Brownian motion and a variance functional. The behavior of the fluid queue is described by a stochastic differential equation. Transient expectation of level process is discussed and the Laplace transform and the mean of the hitting time of some positive level given that the process starts fron some given positive level is computed. |
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| Keywords: | fluid queue transient expectation hitting time Kummer's runetion |
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