Mathematical Model of the Reliability of a Computer System which is Functioning in the Residual Class System, Taking into Account the Reliability of Switching Devices

The article discusses the option of constructing of the mathematical model of the reliability of a computer system (CS), which is functioning in the residual class system (RCS). In contrast to the known ones, the proposed mathematical model of reliability, in terms of the probability of failure-free operation, takes into account the influence of the reliability of switching devices on the process of functioning of the CS in the RCS. The results of studies of the proposed mathematical model of the reliability of the CS and the results of the comparative analysis of reliability showed that the use of the RCS provides higher reliability of the CS with lower hardware costs) than the majority tripleting method of the CS, which is widely used in the positional binary notation. This is achieved due to the fact that in the considered version of the mathematical model of the CS reliability, such types of redundancy as: structural, informational and functional, the presence of which is due to the properties of the RNS, are more fully taken into account. This circumstance makes it possible to apply the appropriate backup methods. The article shows that a gain in the amount of CS equipment is achieved from 2.5 to 42%.