分层超立方网络的可靠性评估

Reliability evaluation of hierarchical hypercube network

针对目前关于分层超立方网络的可靠性研究不够系统,严重制约了其应用和推广的问题,以分层超立方网络为研究对象,在得到分层超立方网络相关拓扑性质的基础上,通过理论推导得到了n维分层超立方(HHC_(n))在PMC模型和MM*模型下的h-额外条件诊断度和t/s-诊断度。此外,设计了HHCn在PMC模型和MM*模型下的t/s-诊断算法,并分析了其时间复杂度。研究结果表明,HHCn的h-额外条件诊断度是其传统诊断度的约h+1倍,t/s-诊断度是其传统诊断度约s+1倍。该结果进一步完善了分层超立方网络的可靠性指标,为其应用和推广提供了重要的理论依据。

Aiming at the problem that the reliability research on hierarchical hypercube networks was not yet systematic,which severely restricted its application and popularization,the hierarchical hypercube network was taken as studying object,on the basis of obtaining the relevant topological properties of the hierarchical hypercube network,the h-extra conditional diagnosability and t/s-diagnosability of the n-dimension hierarchical hypercube(HHC_(n))network under the PMC model and MM*model were obtained by theoretical deduction.In addition,the t/s-diagnosis algorithm of HHCn under the PMC model and MM*model was designed and its time complexity was analyzed.The research results show that the h-extra conditional diagnosability of HHCn is about h+1 times of its traditional diagnosability,and the t/s-diagnosability of HHCn is about s+1 times of its traditional diagnosability.Those results improve the reliability index of the hierarchical hypercube network and provide an important theoretical basis for its application and popularization.