1 / 2018-09-17 21:48:55

Availability Modeling and Fluctuation Research of Discrete-time Repairable Systems

discrete-time system,instantaneous availability,steady-state availability,modeling,simulation,instantaneous availability fluctuation

For the discrete-time one-unit repairable system with repair delay, the instantaneous availability model is established, and its instantaneous availability under limited time constraints was studied. The asymptotic stability of the instantaneous availability was proved, and the steady-state availability was obtained. Further, the correctness of the results is verified by simulation. The result illustrated the consistency of the stability of the instantaneous availability between discrete-time systems and continuous-time systems, which strengthened the theoretic basis of study on the instantaneous availability fluctuation of the complex system within finite time.