Abstract
One of the most critical factors in using systems is their reliability. The reliability study aims to help understand the probable nature of equipment failure during use and establish reliability models. Predicting the reliability of a system is related to the future of the components. Therefore, it is probable, so reliability is mainly modeled in the literature using the concepts of probabilities and stochastic processes. The Markov process usually describes the time-dependent behavior of systems. Markov and semi-Markov models have been used in various fields for reliability widely. In this chapter, reliability in different systems is first described, and then the system failure process is defined. The following is a review of the literature on reliability focusing on Markov and semi-Markov models. At the end of the chapter, the conclusions and future research trends are stated.
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