ABSTRACT
Discrete-time instantaneous availability models were specifically studied in the last chapter, which has some significance for the research on instantaneous availability fluctuation. However, as seen from the physical meaning of the discrete-time instantaneous availability models, their focus is to solve the problems in discretetime systems. As we know, continuous-time problems can be approximately solved by discrete methods. Considering the advantages of discrete-time models in numerical calculation, this chapter comparatively analyzes the relationship between discrete-time distribution and continuous-time distribution, the relationship between numerical solutions of discrete-time models and analytical solutions of continuous-time models under exponential distribution, and the relationship between the numerical solutions of these two kinds of models. By measuring the possible errors in discrete-time models and exploring the feasibility of replacing the continuous-time models with discrete-time models, we lay a firm foundation for optimizing systems seeking instantaneous availability.
