THE TRANSITION PROBABILITY MATRIX OF A MARKOV CHAIN MODEL IN AN ATM NETWORK  

作　　者：YUEDequan ZHANGHuachen TUFengsheng 

机构地区：[1]DepartmentofStatistics,YanshanUniversity,Qinhuangdao066004,China [2]DepartmentofAutomation,NankaiUniversity,Tianfin300071,China

出　　处：《Journal of Systems Science & Complexity》2003年第4期506-512,共7页系统科学与复杂性学报（英文版）

基　　金：This work is supported by the National Key Project of China(No 970211017,the National Natural Science Foundation of China(No,10271102)and Hebei Province Doctoral Foundation(No.2002131)

摘　　要：In this paper we consider a Markov chain model in an ATM network, which has been studied by Dag and Stavrakakis. On the basis of the iterative formulas obtained by Dag and Stavrakakis, we obtain the explicit analytical expression of the transition probability matrix. It is very simple to calculate the transition probabilities of the Markov chain by these expressions. In addition, we obtain some results about the structure of the transition probability matrix, which are helpful in numerical calculation and theoretical analysis.

关 键 词：markov chain transition probability MATRIX ATM network. 

分 类 号：TN915.2[电子电信—通信与信息系统]