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具有正弦到达率的M_t/GI/∞队列模型的局部极限 被引量:2

Local limit for the M_t/GI/∞ queuing model with sinusoidal arrival rates
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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.
作者 张鲜娜 刘建民 宋学力 ZHANG Xianna;LIU Jianmin;SONG Xueli(School of Science,Chang′an University,Xi′an 710064,China)
机构地区 长安大学理学院
出处 《纺织高校基础科学学报》 CAS 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)
关键词 稳态 正弦到达率 累积分布函数 局部极限 steady-state sinusoidal arrival rates cumulative distribution function local limit
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