评估交换超立方体网络可靠性的一种新方法

A New Method Used for Evaluating Reliability of the Exchanged Hypercube Network

交换超立方体互连网络(EH(s,t))作为大规模处理器系统网络模型的重要候选之一,其可靠性问题一直为人们所关注。该文利用额外连通度作为评价可靠性的重要度量,对交换超立方体互连网络的可靠性进行分析,得到了交换超立方体网络的2-额外点连通度2(k(EH(s,t)))和2-额外边连通度2(l(EH(s,t))),证明了当t 3s 32时,2k(EH(s,t))=3s-2;当t 3s 33时,2l(EH(s,t))=3s-1。分析说明了对交换超立方体互连网络的可靠性评价时,2-额外连通度较之传统连通度更具有优势性。

Reliability problems on Exchanged Hypercube interconnection network（EH（s,t）） regard as one of important candidates of network models in large-scale processor systems are concerned by people. The extra connectivity, which is an important measure in evaluating the reliability, is utilized to analyze the reliability of exchanged hypercube interconnection network. Then the 2-extra vertex connectivity（k2（EH（s,t）））and 2-extra edge connectivity（λ2（EH（s,t）））of exchanged hypercube interconnection network are obtained. The conclusions are thatk2（EH（s,t））=3s-2 for t≥s≥2; and λ2（EH（s,t））=3s-1 for t≥s≥3 The analysis shows that the 2-extra connectivity is much superior to the traditional connectivity in evaluating the reliability of exchanged hypercube interconnection network.