| Erlang(n)到达的有限容量的大坝模型的忙期 |
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| 引用本文： | 李晋枝.Erlang(n)到达的有限容量的大坝模型的忙期[J].工程数学学报,2007,24(4):585-592. |
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| 作者姓名： | 李晋枝 |
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| 作者单位： | 中央民族大学数学与计算机科学学院,北京,100081 |
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| 基金项目： | The Natural Science Foundation of China(10131040). |
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| 摘 要： | 本文主要考虑了具有有限容量的Erlang(n)到达的大坝模型的忙期。通过构造两个辅助停时,应用无穷小分析方法,分别获得了它们的Laplace变换所满足的积分微分方程,从而确定了忙期的Laplace变换。本文还以到达过程为Erlang(2)为例,构造了辅助停时所满足的更新方程,获得了忙期的精确解。
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| 关 键 词： | Erlang(n)到达 忙期 积分微分方程 |
| 文章编号： | 1005-3085（2007）04-0585-08 |
| 修稿时间： | 2005-03-10 |
On the Busy Period of Finite Dam with Erlang(n)Arrival |
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| LI Jin-zhi.On the Busy Period of Finite Dam with Erlang(n)Arrival[J].Chinese Journal of Engineering Mathematics,2007,24(4):585-592. |
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| Authors: | LI Jin-zhi |
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| Affiliation: | School of Mathematics and Computer Science, Central University for Nationalities, Beijing 100081 |
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| Abstract: | In this paper, we concern the busy period of finite dam with Erlang(n) arrival. We firstly construct two auxiliary stopping times. By applying the infinitesimal method, we derive two integro-differential equations, from which the Laplacian functional of the busy period is identified. As an example, when n = 2, we establish a type of renewal equation, and give the explicit expression of the busy period of finite dam. |
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| Keywords: | Erlang(n) arrival busy period integro-differential equation |
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