成批到达排队系统的随机比较

本文研究成批到达排队系统中队长过程的随机比较问题．利用随机比较方法我们对成批到达指数服务的多服务台排队系统进行分析,得到了该排队系统中队长过程的随机比较以及队长函数关于时间的凹性和凸性．同时我们也给出了成批到达一般服务的单服务台排队系统队长过程、稳态队长的随机比较以及队长函数关于时间的凹性和凸性．     

M／M^r／1／N排队系统

本文讨论了等待空间有限的成批服务排队系统M/M~r/1/N,给出队长平稳分布的精确解.还得到了系统损失概率和平均输出间隔的精确值.     

慢服务台系统分析及算法

本文讨论了具有不同服务速度的两服务台系统。在假定只有排队队列中第C个顾客进入慢服务台的条件下,分析了系统的队长,等待时间的分布等,并精确地求出了平稳队长分布等指标。     

随机游动及其在排队论中的应用

本文利用随机游动知识,讨论了几类经典排队模型中一个或几个忙期中队长最大值分布。其结果形式简单,计算方便。     

MATCHED QUEUEING SYSTEMS WITH A DOUBLE INPUT

In this paper, we study the matched queueing system with a double input, MoM/PH/1,where the two inputs are two independent Poisson processes, and the service time is of PH-distribution.The L.S. transforms and the expectations of the distributions of occupation time and virtual waiting time of the type-Ⅰ customer are derived.The probability that the server is working, the mean non-idle period, and the mean busy period are also derived. The related algorithms are given with numerical results.     

MATCHED QUEUEING SYSTEM M·PH/G/1

In this paper,we study the matched queueing system,MoPH/G/1,where the type-Ⅰ input is a Poisson process,the type-Ⅱ input is a PH renewal process, and the service times are i.i.d. random variables. A necessary and sufficient condition for the stationariness of the system is given.The expectations of the length of the non-idle period and the number of customers served in a non-idle period are obtained.     

THE MATCHED QUEUEING SYSTEM GI。PH/PH/1

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