Fluctuation analysis of instantaneous availability under specific distribution

The problem on the early fluctuation of instantaneous availability (IA) is considered in this paper, where it is for a one-unit repairable system. By transforming the renewal equation into differential equations, the instantaneous availability can be given under specific distribution. We use a fluctuation definition and several decision lemmas to analyze the fluctuation of instantaneous availability. Then we make a further research to give some methods of fluctuation suppression. The simulation results are in good agreement with the theoretical results.