马尔可夫调制突发到达的单服务器队列模型，针对下层和重叠客户的服务遵循相位类型分布

IF 6 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Ain Shams Engineering Journal Pub Date : 2024-05-09 DOI:10.1016/j.asej.2024.102825

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引用次数: 0

摘要

在文献中提出的等待模型中，大多数都侧重于均匀到达率。本文提出了一种单服务器等待线路，其大小流量源的到达率均为调制。到达率的调制诱导服务器按照相型分布移动服务率。利用准出生死亡环境下的 Neut 多变点过程，我们对系统进行了稳态分析。我们提供了数值示例来执行结果，并以图形形式表示。

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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Single server queuing model of Markov modulated bursty arrival with service following phase type distributions for underlay and overlay customers

Among the waiting models proposed in the literature most of them focus on homogeneous arrival rate. This paper proposes a single server waiting line with modulated arrival rate of small and large size of traffic sources. Modulation of arrival rate induces the server to shift the service rate that follow phase type distribution. Using Neut’s versatile point process under quasi birth death environment we present the steady state analysis of the system. We provide examples numerically to perform the results and represent it in graphical form.

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来源期刊

Ain Shams Engineering Journal Engineering-General Engineering

CiteScore

10.80

自引率

13.30%

发文量

441

审稿时长

49 weeks

期刊介绍： in Shams Engineering Journal is an international journal devoted to publication of peer reviewed original high-quality research papers and review papers in both traditional topics and those of emerging science and technology. Areas of both theoretical and fundamental interest as well as those concerning industrial applications, emerging instrumental techniques and those which have some practical application to an aspect of human endeavor, such as the preservation of the environment, health, waste disposal are welcome. The overall focus is on original and rigorous scientific research results which have generic significance. Ain Shams Engineering Journal focuses upon aspects of mechanical engineering, electrical engineering, civil engineering, chemical engineering, petroleum engineering, environmental engineering, architectural and urban planning engineering. Papers in which knowledge from other disciplines is integrated with engineering are especially welcome like nanotechnology, material sciences, and computational methods as well as applied basic sciences: engineering mathematics, physics and chemistry.