具单一休假的M/M/1排队模型的指数稳定性(英文)  

Exponential Stability of the M/M/1 Queuing Model with Single Vacations

作　　者：汪文珑[1] 

机构地区：[1]绍兴文理学院数学系,浙江绍兴312000

出　　处：《绍兴文理学院学报》2007年第8期12-17,72,共7页Journal of Shaoxing University

基　　金：The work is supported by the National Natural Science Foundation of China (Grant No.60473034)

摘　　要：研究具单一休假的M/M/1排队模型,使用泛函分析方法,特别是Banach空间上线性算子理论,证明了相应的动力算子的严格占优本征值的存在性,以及系统解的线性稳定性和指数稳定性.The solution to a queuing system with single vacations is investigated. Using the method of functional analysis, especially the linear operator theory on Banach space, the existence of the strictly dominant eigenvalue is proved,and the linear stability and the exponential stability of the solution are shown.

关 键 词：单一休假 占优本征值 线性稳定性 指数稳定性 

分 类 号：O177.21[理学—数学]