批量马尔可夫到达过程概述  

The Brief of the Batch Markovian Arrival Processes

作　　者：陈童[1] 李羚玮[1] 郭波[1] 

机构地区：[1]国防科技大学信息系统与管理学院,湖南长沙410073

出　　处：《数学的实践与认识》2009年第17期128-137,共10页Mathematics in Practice and Theory

基　　金：国家自然科学基金(70501031)

摘　　要：批量马尔可夫到达过程(Batch Markovian Arrival Processes,BMAP)对平稳点过程类具有稠密性,能够描述许多到达过程,在计算机、可靠性、通信和库存等领域的随机建模中获得广泛应用,是一类非常重要的随机点过程.通过对BMAP理论主要文献的分析,系统介绍了BMAP的概念和主要性质,回顾了BMAP应用成果和拟合工作的发展,展望了BMAP理论的发展前景.This paper presents an overview of the recent research results related to the batch Markovian arrival processes （BMAP） that encompasses a wide range of arrival processes. As a class of important stochastic point process, the BMAP, which is used to modeling the stochastic processes in computer, reliability, communication and inventory conveniently, is dense in the class of stationary point processes. We introduce the conception and properties of BMAP briefly, and summarize the fruit of the researches about BMAP＇s applications and parameter estimation. Finally, a prospect of BMAP＇s development is shown.

关 键 词：批量马尔可夫到达过程 概述 

分 类 号：O211.62[理学—概率论与数理统计]