基于信息熵理论的网络化集群系统的可靠性分析

摘要

首先，从信息论的角度借用信道容量概念定义了网络化集群系统的可靠度模型；然后，在已知一个节点可靠度和链接概率分布的条件下，基于所建立的网络化工程系统的可靠度模型，通过对拉格朗日微分方程的求解，给出了网络节点链接失败概率总和达到最大时，单节点链接失败概率的计算方法；在此基础上，基于已知一个节点可靠度的条件，通过微分方程给出了网络节点链接失败概率总和达到最小时单节点链接失败概率的计算模型；最后，给出了一些具有导向性的结论．%The reliability model for evaluating the reliability of the networkedgroup systems is built based on the channel capacity. Given the reliability degree of a node and the link probability distribution of every node, we develop a method for computing the linkfailure probability of that node when the total sum of the linkfailure probabilities of all nodes in the network reaches the maximum. On this basis, when the reliability degree of a node is given, we also derive the method for computing the link-failure probability of that node when the total sum of the linkfailure probabilities of all nodes in the network reaches the minimum. Prooosals for further research are given.