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弹性分组环(RPR)多环网络缺乏可靠性模型及相应分析,使得多环网络的设计参数很难选取,为设计高可靠性网络带来困难。该文提出了RPR多环网络的可靠性模型,利用概率理论分析提出了弹性分组环多环网络的可靠性函数以及平均失效时间函数。结果表明影响多环网络可靠性的主要参数是子环节点数分布,并且利用Lagrange乘数法证明了多环网络在子环节点分布均匀时可靠性达到最优;因此设计节点均匀分布的多环网络可以大幅度提高网络的可靠性,为设计高可靠性多环网络提供了理论依据。
The lack of reliability model and corresponding analysis of the RPR multi-ring network makes it difficult to select the design parameters of the multi-ring network, which makes it difficult to design a high-reliability network. In this paper, the reliability model of RPR multi-ring network is proposed, and the reliability function and the average failure time function of the flexible packet ring multi-ring network are proposed by using probability theory. The results show that the main parameter affecting the reliability of multi-ring network is the sub-ring node number distribution, and the Lagrange multiplier method is used to prove that the multi-ring network has the best reliability when the sub-ring nodes are evenly distributed. Therefore, Which can greatly improve the reliability of the network and provide a theoretical basis for designing a highly reliable multi-ring network.