The semi-markov model of the system operation processes is proposed and its selected parameters are determined. The parallel-series multi-state system is considered and its reliability and risk characteristics are found. Next, the joint model of the system operation process and the system multi-state reliability and risk is constructed. Moreover, the asymptotic approach to reliability and risk evaluation of the multi-state parallel-series system in its operation process is applied to the ship-rope elevators system.
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