电信系统中批量队列的非平凡泊松到达条件下队列长度矩公式的一般化

IF 0.5 4区计算机科学 Q4 COMPUTER SCIENCE, THEORY & METHODS

Problems of Information Transmission Pub Date : 2023-12-01 DOI:10.1134/s003294602304004x

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引用次数: 0

摘要

摘要我们提出了一种方法，将作者以前获得的非平凡泊松到达流、单服务器和服务时间恒定的排队系统中的第一和第二排队长度矩公式推广到服务时间可变的情况。假设服务时间是一个具有有限值集的随机变量。这个模型适用于大量的批量传输系统，因为现实世界中的批量传输时间只能取有限多个值。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Generalization of Formulas for Queue Length Moments under Nonordinary Poissonian Arrivals for Batch Queues in Telecommunication Systems

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.

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来源期刊

Problems of Information Transmission 工程技术-计算机：理论方法

CiteScore

2.00

自引率

25.00%

发文量

审稿时长

>12 weeks

期刊介绍： Problems of Information Transmission is of interest to researcher in all fields concerned with the research and development of communication systems. This quarterly journal features coverage of statistical information theory; coding theory and techniques; noisy channels; error detection and correction; signal detection, extraction, and analysis; analysis of communication networks; optimal processing and routing; the theory of random processes; and bionics.