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Availability Modeling and Fluctuation Research of Discrete-Time: Repairable Systems

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 asymptatic stability of the instantaneous availability was proved, and the steady-state availability was obtained. Further, the correctness of the results is verified by slmulatien, The result illustrated the consistency of the stability of the instantaneous availability between discrete-time systems and eon-ttnuous-tfme systems, which strengthened the theoretic basis of study on the instantaneous avaflability fluctuation of the complex system within finite time.