Abstract

We propose an approach for generalization of formulas previously obtained by the authors for the first and second queue length moments in a queueing system with a nonordinary Poissonian arrival flow, single server, and constant service time to the case of a variable service time. The service time is assumed to be a random variable with a finite set of values. This model is adequate for a vast class of batch transmission systems, since the batch transmission time in real-world systems can take only finitely many values.

中文翻译：

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电信系统中批量队列非普通泊松到达下队列长度矩公式的推广

摘要

我们提出了一种方法，用于将作者之前获得的用于具有非普通泊松到达流、单服务器和恒定服务时间的排队系统中的第一和第二队列长度矩的公式推广到可变服务时间的情况。假设服务时间是具有有限值集的随机变量。该模型适用于大量批量传输系统，因为现实系统中的批量传输时间只能取有限多个值。