We then consider the n policy m / g / 1 queueing model with two priorities . by using the supplementary variable method to analyze the state probability equations, we derive the generating function of queueing length distribution and the mean queue length in the buffer of the communications network . and through further discussing for the queue with various priorities, we derive the generating function of queueing length distribution and the stationary queueing length in queue models with various priorities 其次研究带有两个优先权的n策略mg1排队模型,利用补充变量法对状态概率方程组进行分析,得出了此排队系统队长分布母函数及通信网缓冲器中的平均队长,并对不同优先权队列的进一步讨论,得出了不同优先权队列的队长分布母函数及稳态队长。
In this paper, subjects mainly focused are as follows : to meet with the requirement of forward business and the establishment of mid-long term generation planning of hydroelectric plant, the yearly runoff and the monthly runoff are studied in this paper, providing many kinds models that suited to min-long term runoff forecast, including the time series analysis, the nearest neighbor bootstrap regressive model, the grey topological model, recession curve model, threshold auto regression, mean generating function, and ann model etc . the forecast result proves that these models are useful 本文从以下几方面进行了较为深入的研究:(1)为了满足水电厂的期货交易及编制水电站中长期发电计划的需要,本文对年、月径流预测进行了研究,提出了径流中长期预测模型,包括:时间序列模型、最近邻抽样回归模型、灰色拓扑预测、退水曲线模型、门限自回归模型、均生函数模型及神经网络模型等,从预测成果来看,效果较好。
In this paper, the repairable queuing system with police is studied . some important queuing quantities and reliability quantities are in detail discussed as follows : ( 1 ) using the renewal process theory and the method of stochastic decomposition, both the transient and equilibrium distributions of the queue length from any state are discussed, and the recursion expression of the equilibrium distribution is given by furthermore, the generating function of equilibrium queuing length distribution is given by ( 2 ) the distribution of waiting time is discussed, and the mean waiting time is given by ( 3 ) the departure of the system is discussed, and the mean value of departure customers when is given by 具体如下:(1)利用更新过程理论和随机分解方法,讨论了从任意初始状态出发队长分布的瞬态解和稳态解,得到了队长平稳分布的递推公式:并进一步求得了系统的稳态队长分布的母函数(2)讨论了稳态等待时间分布,求得了平均等待时间:(3)讨论了系统的输出过程,求得了长期单位时间内离去顾客的平均数:(4)讨论了服务台的不可用度,得到了稳态不可用度:(5)讨论了内服务台平均故障次数,求得了长期单位时间内的平均故障次数