In this Research paper two reliability models of a single unit system are analysed in detail using regenerative point technique. The unit fails completely via partial failure. There is single server who appears and disappears randomly from the system. However, he attends the system immediately at complete failure of the unit in Model-I. Server inspects the unit at its partial failure to see the possibility of on-line repair. If online repair is not possible, it is repaired in down state. The server cannot leave the system during inspection and repair. The distributions of failure time, random appearance and disappearance of the server are taken as negative exponential while that of inspection and repair time are arbitrary. All random variables are uncorrelated and independent to each other. The expressions for some reliability and economics measures are derived. The results for a particular case are also obtained to depict the behaviour of MTSF, availability and profit of the system models graphically.
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