吸收态马尔可夫链及其在高校学生学业管理模型中的应用  

Markov Chain with Absorbing State and Application of Learning Management Model in College Students

作　　者：张梅荣[1] 

机构地区：[1]北京印刷学院基础部,北京102600

出　　处：《北京印刷学院学报》2011年第4期76-78,共3页Journal of Beijing Institute of Graphic Communication

摘　　要：马尔可夫链是一类重要且得到广泛应用的随机过程,对马尔可夫链的基础知识进行了介绍,着重研究吸收态马尔可夫链的转移概率矩阵的构成和基本矩阵的含义,结合高校学生学业管理实例,利用吸收态马尔可夫链和Excel中的MINVERSE函数和MMULT函数给出预测结果,为高校学生管理提供一种新的研究视角。Markov chain is a special kind of stochastic process which is widely used. Firstly, the perper introduces some important concepts of Markov chain. Secondly, it primaryiy discusses structure of transition probability matrix and meaning of fundamental matrix. Thirdly, a learning management model in college students is given to illustrate the forecasting result which is based on Markov chain with absorbing state and some functions of Excel, it provides an new perspective in management to college students.

关 键 词：吸收态马尔可夫链 转移概率矩阵 过渡态 吸收 态 基本矩阵 

分 类 号：O211.6[理学—概率论与数理统计]