Subsystem Reliability Analysis of Data Center Network BCube

The efficiency of cloud computing is significantly impacted by the capabilities of data center networks (DCNs). However, with the increasing demands of applications, the number of servers in DCNs is growing exponentially. In general, networks become more vulnerable as they expand in size. Consequently, it is essential to assess the network's reliability. Subsystem reliability, a crucial parameter of network reliability, is the likelihood that a faultless subsystem with a specific size would function normally. Even though several networks have the same order, their subsystem reliability may differ. In this article, we compare two distinct subsystems of $m$-port $k$-dimensional DCNs BCube that have the same number of vertices and ascertain the critical time so that the reliability bound is robust. In addition, we discover that, when comparing two subsystems of BCube that have the same number of vertices, the smaller the dimension $k$, the greater the subsystem reliability of BCube will be for $m\geq 2$ and $k\geq 1$. This offers a theoretical foundation that allows us to choose a more reliable system in BCube that have the same number of vertices. Finally, we use numerical experiments to verify our findings.