CAJ | 학술논문

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.
본문주요고필료구유유한용량적Erlang(n)도체적대패모형적망기.통과구조량개보조정시,응용무궁소분석방법,분별획득료타문적Laplace변환소만족적적분미분방정,종이학정료망기적Laplace변환.본문환이도체과정위Erlang(2)위례,구조료보조정시소만족적경신방정,획득료망기적정학해.
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.