Using Markov Models And Fault Tree For Finding The Reliability Of Some Engineering Problems

The main focus of this study is to apply fault tree analysis to a model of an electrical chip that is frequently used in computers. The block group, sometimes referred to as the failure groups, was obtained. The relationship between the FT error tree and the RBD reliability block diagrams was also discussed in this study, and it is there that we discovered a diagram that illustrates the potential mistakes that this system may be subject to. Gaining a thorough understanding of the system is the first stage in any reliability analysis, including fault tree analysis. The system's relationship to the error tree must be well understood in these situations. Then, using a random transition matrix, we converted the fault tree diagram into a Markov model by accurately documenting each component in the system, their physical and functional connections, the typical and atypical environments they encounter, and the modes of failure of each component. We were able to obtain equations, and by utilizing Laplace transforms and the inverse of Laplace, as well as finding the system mean time to failure, we were able to determine the model's reliability and carry out maintenance on the same scheme.