| THE TRANSITION PROBABILITY MATRIX OF A MARKOV CHAIN MODEL IN AN ATM NETWORK |
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| 引用本文： | YUEDequan ZHANGHuachen TUFengsheng. THE TRANSITION PROBABILITY MATRIX OF A MARKOV CHAIN MODEL IN AN ATM NETWORK[J]. 系统科学与复杂性, 2003, 16(4): 506-512 |
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| 作者姓名： | YUEDequan ZHANGHuachen TUFengsheng |
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| 作者单位： | [1]DepartmentofStatistics,YanshanUniversity,Qinhuangdao066004,China [2]DepartmentofAutomation,NankaiUniversity,Tianfin300071,China |
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| 基金项目： | 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) |
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| 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.
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| 关 键 词： | ATM网络 异步传输模式 马尔可夫链模型 转移概率矩阵 |
THE TRANSITION PROBABILITY MATRIX OF A MARKOV CHAIN MODEL IN AN ATM NETWORK |
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| YUE Dequan. THE TRANSITION PROBABILITY MATRIX OF A MARKOV CHAIN MODEL IN AN ATM NETWORK[J]. Journal of Systems Science and Complexity, 2003, 16(4): 506-512 |
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| Authors: | YUE Dequan |
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| Abstract: | 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. |
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| Keywords: | Markov chain transition probability matrix ATM network. |
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