节点相依失效下的方格网络可靠性建模与分析

以二维方格网络为拓扑结构，在考虑同一地理区域节点存在共因失效关系、同一类节点存在关联失效关系、网络体系结构存在协议层与层之间的级联失效关系等3 种依赖关系的条件下，建立失效概率的依赖模型来模拟节点相依失效。以节点之间连通的概率为可靠性测度，利用Monte Carlo 法进行近似计算，分析依赖关系对网络可靠性的影响。研究表明，级联失效比共因失效带给网络可靠性的影响更大；关联失效带来的影响是灾难性的，尽管节点自身失效概率很小，只要关联程度足够大，就会使节点故障在网络中快速传播。

Modeling and analysis of reliability for lattice networks with dependent failures

Based on the lattice network model, the node failure model is established using dependency of node failure probability, considering three types of interdependencies, which are as follows: firstly, nodes in the same geographic areas are affected by the common cause failure; secondly, nodes of the same attributes are affected by the escalating failure; lastly, nodes are affected by the cascading failure of the architecture. The Monte Carlo simulation is used to approximately calculate the probability of having at least one path between the pair nodes. It is shown that the cascading failure of architecture has more adverse impact on network reliability than the common cause failure. It is also proved that the escalating failure can make the small part of node failures to affect the other nodes, to rapidly reduce the network reliability, whatever is the probability of node failure.