Reliability study of two engineering models using LU decomposition

This paper presents two different methods — LU decomposition and Runge–Kutta — for reliability engineering assessment. These methods are used to calculate the steady-state probabilities and frequencies of two different engineering models. The effect of the different methods is shown on the simple numerical examples by comparing the steady-state probabilities and frequencies of both models. The paper concludes that the LU decomposition method is useful to practicing engineers and students of reliability concepts. Also, the final results for both methods is almost the same.