Reliability and safety analysis of M out of N system based on Markov Process

摘要

The Safety Computing System is a kind of system which asks for high safety and reliability. In order to rigorously analyze the safety and reliability of the M out of N system, abstracting running states of the system, and constructing a state transition model based on Markov Process. At the same time, the safety and reliability of the M out of N system are calculated on the basis of Markov Model. Finally comparing the M out of N system with the existing safety computing systems based on the computation of the safety and reliability. According to our results, the M out of N system has higher safety and reliability compared to the existing safety computing systems under the same average failure rate of the calculating cell. Especially, the system can satisfy the safety integrity level (SIL) 4, which means the system's probability of catastrophic failure is less than or equal to 10e-8 per hour. So, it can be applied to the high-speed railway systems.