Abstract
This paper considers a two-unit paralleled system with general failure time and repair time distributions. The equations governing the behaviour of the system, without using regenerative (or cyclic) nature, have been derived by employing the method of supplementary variable. Then the problems of calculating the Laplace transform of the reliability of the system and the mean time to the first system failure are reduced to that of solved a well-known Fredholm integral equation, depending on the pdf's of the failure and repair time of units. In addition, the probability that repairman is idle at time t, the expected total idle time of repairman during the interval (O,t] , and the expected number of repair until the system failure occurs are shown.
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