一类可靠性模型研究中出现的投影算子的表达式及其应用

The Expression of the Project Operator Appeared During Research of a Reliability Model and Its Application

讨论一个可靠机器,一个不可靠机器和一个缓冲库构成的系统的数学模型研究中出现的投影算子的结构.用线性算子的谱理论给出此投影算子的表达式.由此说明该模型的时间依赖解指数收敛于该模型的稳态解.

We study the expression of the project operator appeared during research of the reliability model that the system consisting of a reliable machine, an unreliable machine and a storage buffer. By using spectral theory of linear operators, we give the expression of the project operator. Thus we show the time-dependent solution of the model converges exponentially to the steady-state solution of the model.