文章运用有界线性算子半群理论讲座可变输入率的M/M/1排队模型,证明此模型的主算子生成C0半群,并运用一定的技巧证明动态解强稳定以其定态解.
In this paper,the M/M/1 queueing model with varible import rate has been discussed.By using the theory of C0-semigroup and a certain skill,we obtain the existence of a unique positive dynamic solution and the dynamic solution converges to its static solution.