Estimation of the Reliability of the Gear–Motor System Using a Markov Model

In this article, the reliability of a gear–motor system is analyzed on the condition that the failure of the gear leads under certain circumstances to the failure of the motor. The states of the system are modeled by a continuous-time Markov chain. The resulting system of differential equations is solved using the Laplace transform. In this way, the probabilities of the system’s states can be determined for different failure and repair rates of individual components depending on time and comparative analysis of the availability can be performed.