具有启动期的Geo/Geo/1/(SWV+MV)离散时间排队模型的稳定性研究  

Stability of the Discrete-time Queue ModelGeo/Geo/1/(SWV+MV)with Start Time

作　　者：程慧慧[1] 王文娟 CHENG Hui-hui;WANG Wen-juan(North China University of Water Resources and Electric Power,Zhengzhou 450046,China)

机构地区：[1]华北水利水电大学,河南郑州450046

出　　处：《兰州文理学院学报（自然科学版）》2021年第4期16-24,共9页Journal of Lanzhou University of Arts and Science(Natural Sciences)

摘　　要：具体分析了具有启动期的Geo/Geo/1/(SWV+MV)离散时间排队模型.首先利用矩阵几何解法给出系统稳定的条件和平稳分布,并求出了随机分解结构.其次利用交替更新过程的极限定理分析了系统的忙循环.最后对该模型进行了数值分析.In this article,the discrete-time queue model Geo/Geo/1/(SWV+MV)with start time was analyzed.Firstly,the stability condition and stationary distribution of the system were given by using the matrix geometric method,and the stochastic decomposition structure was obtained.Secondly,the busy cycle of the system was analyzed by limiting theorem of alternative renewal process.Finally,the model was numerically analyzed.

关 键 词：离散时间排队 启动期 休假 工作休假 矩阵几何解 随机分解结构 

分 类 号：O211[理学—概率论与数理统计]