一个排队模型时间依赖解的渐近性质(英文)

Asymptotic Property of the Time-Dependent Solution of a Queueing Model

文章研究一类单服务员排队系统。首先对应于此系统的数学模型化为Banach空间中的抽象Cauchy问题,然后在一定条件下,通过研究相应主算子的谱的特征推出该系统时间依赖解强收敛于该系统的稳态解。

In this paper, we study a single server queueing system. First we convert the mathematical model of the queueing system into an abstract Cauchy problem in a Banach space. And then, under a certain condition by studying the spectral properties of the underlying operator we deduce that its timedependent solution strongly converges to its steadystate solution.