具有非齐次泊松到达的Mt/H2*/∞队列模型的稳态分布  

Steady-state Distribution of Mt/H2*/∞ Queue Model with Non-homogeneous Poisson Arrivals

作　　者：牛鑫 刘建民[1] 王青青 NIU Xin;LIU Jianmin;WANG Qingqing(School of Science,Chang′an University,Xi′an 710064,China)

机构地区：[1]长安大学理学院

出　　处：《郑州大学学报（理学版）》2020年第1期87-92,共6页Journal of Zhengzhou University:Natural Science Edition

基　　金：国家自然科学基金项目(11402034)

摘　　要：研究了一个具有非齐次泊松到达的Mt/H2^*/∞队列模型的稳态分布,对具有周期性的到达率进行了分析。用傅里叶级数表示到达率函数,得出系统中忙服务台数量的均值和方差表达式。考虑了到达率函数为正弦函数的特殊情况,得到在具有正弦到达率的Mt/H2^*/∞队列模型中关于忙服务台的稳态分布及其流体极限。The steady-state distribution of an Mt/H2^*/∞ queue model with non-homogeneous Poisson arrivals was considered,and the periodic arrival rate was analyzed.The arrival rate function was expressed by Fourier series,and expressions of mean and variances about busy servers of the system were derived.Considering the special case that the arrival rate function was a sinusoidal function,the steady-state distribution of busy servers and its fluid limit were obtained in the Mt/H2^*/∞ queue model with sinusoidal arrival rate.

关 键 词：非齐次泊松过程 周期性 稳态分布 均值 流体极限 

分 类 号：O226[理学—运筹学与控制论]