排队系统输出序列的广义相关与广义谱研究

A Generalized Correlation and Spectrum of Output Sequence of Queuing System

由于排队论不可能求解排队系统中的时间序列问题[1 ] ,因此 ,将时间列自相关函数的定义作了推广 ,以便应用于这一问题。方法是将m视为另一种采样规则下所得序列的序号 ,即以排队到达时刻为采样时刻 ,由此可以试探寻求排队系统等待时间序列 {WT(n) }等的ARMA模型。文中还建立了排队系统时间序列的广义谱的概念。可以期望 ,广义谱概念的建立 ,将十分有助于对排队系统输出序列、排队仿真序列以及所有离散系统随机仿真序列特征与规律的揭示。

As stated in , queuing theory has not provided an approach to problem of time series in queuing system. Is this paper, the auto-correlation of a time series is generalized as a function of another time variable m, which is the arrival time of a queuing system. This new definition enables searching foe the liner model, ARMA model. A concept of a general spectrum is setup in this paper. We can believe in that the new concept will be beneficial for the study on the output sequence of queuing system ,and queuing simulation sequence as well.