具有正弦到达率的M_t/GI/∞队列模型的局部极限  

Local limit for the M_t/GI/∞ queuing model with sinusoidal arrival rates

作　　者：张鲜娜 刘建民[1] 宋学力[1] ZHANG Xianna;LIU Jianmin;SONG Xueli(School of Science,Chang′an University,Xi′an 710064,China)

机构地区：[1]长安大学理学院,陕西西安710064

出　　处：《纺织高校基础科学学报》2018年第1期68-73,共6页Basic Sciences Journal of Textile Universities

基　　金：长安大学中央高校基本科研业务专项基金(310812163504)

摘　　要：根据M_t/GI/∞队列模型,应用随机过程及排队系统,推算出具有正弦到达率的M_t/GI/∞队列模型.结合随机过程极限、概率测度收敛等,得到具有正弦到达率的M_t/GI/∞队列模型的流体稳态累积分布函数及局部极限.Depending on a queuing model M t/GI/∞,utilizing stochastic process and queuing system,a queuing model M t/GI/∞with sinusoidal arrival rates is calculated.Combined with stochastic process limits and convergence of probability measures,a further research is conducted to get fluid steady-state cumulative distribution function and local limit of the queuing model M t/GI/∞with sinusoidal arrival rates.

关 键 词：稳态 正弦到达率 累积分布函数 局部极限 

分 类 号：O226[理学—运筹学与控制论]