Comparative analysis of the continuous-time model and discrete-time instantaneous availability model of the delay repairable system

In this paper, the instantaneous availability models in continuous and discrete time are proposed for the one-unit-delay repairable systems with exponential distribution. The numerical solutions for the continuous-time model and the discrete-time model are presented. The comparison of the solutions reveals that with the step length and sampling interval decreasing, the accuracy of the numerical model is much better. Also, in the same accuracy level, less computation time is needed to solve the discrete-time model. Hence, the discrete-time model is more feasible to analyze instantaneous availability.