It is important to demonstrate a distributed computing community in order to evaluate and predict its internal availability, consistency, and usability. Many previous studies on the accessibility of virtualized systems and the evaluation of their consistent quality with respect to specific servers in cloud server farms have been reported. In this research, we present a different tiered demonstrating method for evaluating the accessibility and reliability of server farms that are tree-based. The progressive model consists of three layers: (i) an issue tree that illustrates the subsystems' engineering; (ii) unwavering quality charts in the top layer that display the framework network geography; and (iii) stochastic prize nets that comprehensively capture the behaviors and dependencies of the subsystems' components.