Abstract
Abstract Multiprocessor systems play a significant role in big data era. As the probability of presence of processor failures in a multiprocessor system raises with the increase of the system scale, the effect of processor failure is worthy of quantifying. The subsystem reliability of a multiprocessor system is the probability that a fault-free subsystem of certain size still operate with the rise of individual faults. In this work, we employ the probabilistic fault model and the Principle of Inclusion-Exclusion (PIE) to establish the approximation and upper bound on the subsystem reliability of the cactus-based networks through decomposition into $(n-1)$-dimensional subsystems by fixing one position-pair. Numerical simulations show that the upper bound derived in this way is close to the approximation of the accurate subsystem reliability.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
