Abstract
Time redundancy is one of the methods to increase the reliability and efficiency of technical systems. When it is used, the system is given additional time (a time reserve) for restoring characteristics. In this paper we construct a semi-Markov model of a two-component system with a component-wise instantly replenished time reserve. In this paper we construct a semi-Markov model of a two-component system with a component-wise instantaneous replenishment of the time reserve. For an approximate determination of the stationary characteristics of the reliability of the system, the phase merging scheme algorithm is used.
Highlights
When designing and operating technical systems, great attention is paid to the reliability and efficiency of both the system as a whole and its individual components
About the time redundancy [1,2,3,4,5,6,7,8] say in cases where the system during its operation is given additional time for the restoration of its technical characteristics
For systems with a time reserve, a malfunction does not yet mean a failure of the system itself, if the restoration of the operability of the object ends before the use of the time reserve
Summary
When designing and operating technical systems, great attention is paid to the reliability and efficiency of both the system as a whole and its individual components. There are various ways to improve the reliability and efficiency of technical systems, one of which is time redundancy. Semi-Markov processes are often used to model systems for various purposes [9,10,11,12,13]. In this paper, using the theory of semi-Markov processes with a common phase space of states [9,10,11,12,13], a model of a two-component system with a component-wise instantly replenished time reserve is constructed. The reliability characteristics of the system under consideration are determined; the effect of the time reserve on the characteristics obtained is analyzed
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