Features of Analytical Modeling of QS with Hypererlang and Erlang Distributions

Q4 Materials Science

Radioelektronika, Nanosistemy, Informacionnye Tehnologii Pub Date : 2023-06-16 DOI:10.17587/it.29.284-289

V. Tarasov

引用次数: 0

Abstract

The article is devoted to the construction of a mathematical model for delaying claims in a queue in the form of a queuing system (QS) described by right-shifted hyper-Erlang and second-order Erlang distributions. This article is a logical continuation of the previous works of the author. In the article, the Erlang distribution is considered as a special case of the more general Gamma distribution law, in contrast to the normalized Erlang distribution. These two forms of the Erlang distribution differ in numerical characteristics, except for the coefficient of variation. To solve the problem, we used the method of spectral solution of the Lindley integral equation.

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利用hyperlang和Erlang分布对QS进行解析建模的特点

本文研究了用右移超Erlang和二阶Erlang分布描述的排队系统(QS)形式的排队延迟索赔的数学模型的构建。这篇文章是作者以前作品的合乎逻辑的延续。在本文中，与标准化的Erlang分布相比，Erlang分布被认为是更一般的Gamma分布定律的一种特殊情况。除了变异系数不同外，这两种形式的二郎分布在数值特征上有所不同。为了解决这个问题，我们采用了林德利积分方程的谱解法。

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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来源期刊

Radioelektronika, Nanosistemy, Informacionnye Tehnologii Materials Science-Materials Science (miscellaneous)

CiteScore

0.60

自引率

0.00%

发文量

期刊介绍： Journal “Radioelectronics. Nanosystems. Information Technologies” (abbr RENSIT) publishes original articles, reviews and brief reports, not previously published, on topical problems in radioelectronics (including biomedical) and fundamentals of information, nano- and biotechnologies and adjacent areas of physics and mathematics. The authors of the journal are academicians, corresponding members and foreign members of the Russian Academy of Natural Sciences (RANS) and their colleagues, as well as other russian and foreign authors on the proposal of the members of RANS, which can be obtained by the author before sending articles to the editor or after its arrival on the recommendation of a member of the editorial board or another member of the RANS, who gave the opinion on the article at the request of the editior. The editors will accept articles in both Russian and English languages. Articles are internally peer reviewed (double-blind peer review) by members of the Editorial Board. Some articles undergo external review, if necessary. Designed for researchers, graduate students, physics students of senior courses and teachers. It turns out 2 times a year (that includes 2 rooms)