具有工作休假的M／M／1排队系统的研究  

A Study on the M/M/1 Queueing Model with Working Vacation Described by Ordinary Differential Equation

作　　者：艾合买提·卡斯木 苏磊·乃比 西日尼阿依·努尔买买提 罕柯孜·米吉提 Ehmet Kasim Sulhi Nabi Xirinay Nurmamat Hankiz Mijit

出　　处：《新疆大学学报（自然科学维文版）》2017年第1期38-49,共12页JOURNAL OF XINJIANG UNIVERSITY

摘　　要：本文研究常微分方程形式的具有工作休假的M／M／1排队系统。首先应用补充变量方法建立此排队系统的数学模型，然后运用C0-半群理论证明此模型存在唯一的、非负的、满足概率性质的时间依赖解。In this paper, we study the M/M/1 queueing system with working vocation. First of all, by using the supplementary variable methods we establish the mathematical model of the system. Next, by applying the C0- semigroup theory of linear operator, we obtain that the model has unique, nonnegative time-dependent solution which satisfies the probability condition.

关 键 词：具有工作休假的M/M/1排队模型 补充变量法 C0-半群 dispersive算子 

分 类 号：O226[理学—运筹学与控制论]