The Reliability Analysis On A Class Of Two-Unit Parallel Repairable System With Repairable Failure And Unrepairable Failu

Reliability theory is currently the very important research field. Repairable system is one of the most important systems discussed in the reliability theory and it gets the high attention. This paper is to study the two-unit parallel repairable system which consists of boundary value with integral in repairable system. And it has been always the hot topic in repairable system to study the two-unit parallel repairable system. It not only has plays an important role in the reality but also is of great significance for the development of society.In this paper, system model of interest is established and the corresponding parameters and conditions are given. With the method of application of functional analysis, it is transformed into the abstract Cauchy problem in a Banach space. Secondly, we use the space-the theory of linear operators semigroup to learn the existence of the solution to system nonnegative time-dependent, to produce a positive semigroup, and emphasize the use of a strong continuous semi-group theory to prove the existence and uniqueness of solution, and further discuss the prosperities of operator. Finally, it can determine the system asymptotic stability.