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Computing Diameter Constrained Reliability of a Network with Junction Points

机译:计算具有连接点的网络的直径约束可靠性

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摘要

We consider a network with unreliable communication channels and perfectly reliable nodes. The diameter constrained reliability for such a network is defined as the probability that between each pair of nodes, there exists a path consisting of operational edges whose number is upper bounded by a given integer. The problem of computing this characteristic is NP-hard, just like the problem of computing the probability of a network's connectivity. We propose a formula that lets one use junction points to compute the reliability of a two-pole system with diameter constraints, which makes the computations faster.
机译:我们认为网络具有不可靠的通信通道和完全可靠的节点。这种网络的直径约束可靠性定义为在每对节点之间存在由操作边组成的路径的概率,该操作边的数量上限为给定整数。正如计算网络连接概率的问题一样,计算此特征的问题是NP难题。我们提出了一个公式,该公式允许使用结点来计算具有直径约束的两极系统的可靠性,从而使计算速度更快。

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