The Repairable System Mathematical Model And Its Reliability Analysis

The repairable system,as the important research object, studied by reliability theory and reliability mathematics.This academic dissertation builds a repairable system mathematical model with repair equipment of two-unit warm standby based on the theory of random processes and supplemented variables, what’s more, it observes the semigroup characteristics of the system operator grounding on the linear operator semigroup theory, and it studies the system operator’s geometric multiplicity and algebraic multiplicity of a repairable computer system model by the use of functional analysis theory,at last the thesis discusses the spectral properties of the system operator. Hence, this academic dissertation makes further effort to discuss the solution of system features of the repairable system model, such as well-posedness、stability、reliability. And it is also the theoretical foundation of obtaining the reliable,MTTFF etc. of the system’s reliability indices.