Erlang(n)到达的有限容量的大坝模型的忙期(英文)  

On the Busy Period of Finite Dam with Erlang(n) Arrival

作　　者：李晋枝[1] 

机构地区：[1]中央民族大学数学与计算机科学学院,北京100081

出　　处：《工程数学学报》2007年第4期585-592,共8页Chinese Journal of Engineering Mathematics

基　　金：The Natural Science Foundation of China(10131040).

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。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.

关 键 词：Erlang(n)到达 忙期 积分微分方程 

分 类 号：O211[理学—概率论与数理统计]