Abstract
The object of the research is the technical system of a multi-operation machine tool, the tools of which can fail and be restored. The failed tool remains functional for some time due to a temporary reserve until a parametric failure occurs, the magnitude of which is random. All random variables describing the system have general distributions. The apparatus for constructing a mathematical model of the described system is a semi-Markov process with a discrete-continuous phase space of states. The stationary distribution of the embedded Markov chain is defined explicitly. For systems with parallel connection, the stationary time between failures of the system, the stationary time spent in the state of failure and the stationary system availability factor are found by the series of connections with disconnection and without disconnection of elements. The dependence of the stationary characteristics of the system on the size of the time reserve is demonstrated with a numerical example.
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