一个带负顾客排队系统算子的半群特征

Semigroup Characteristics of a Queueing System Operator with Negative Customers

利用泛函分析中的线性算子半群理论讨论一个带负顾客的非空竭服务休假排队系统模型相应算子的半群特征。结果表明该排队模型相应的算子生成一个正定压缩C0-半群S(t)。

By using the strong continuous semigroup theory of linear operators in functional analysis, we dis-cuss the semigroup characteristics of the system operator expressed by the queue with negative customers and vaca-tion on non-exhaustive service.Our results show that the underlying operator of the model generates a positive con-traction C0-semigroup S（ t） .