具有无限缓冲区的更新输入多服务器队列模型的瞬态分析

IF 0.8 4区管理学 Q4 OPERATIONS RESEARCH & MANAGEMENT SCIENCE

Operations Research Letters Pub Date : 2025-03-20 DOI:10.1016/j.orl.2025.107275

Ashwini Soundararajan, F.P. Barbhuiya

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引用次数: 0

摘要

本文给出了无限缓冲区GI/M/c队列系统内容分布的一种随时间变化的解。利用补充变量和差分方程技术，得到了用拉普拉斯变换表示的概率。推导了一些相关的性能度量，并给出了广泛的数值结果。它涵盖了重尾和轻尾到达间时间分布对系统暂态行为和潜在系统特性的影响的比较。

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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Transient analysis of a renewal input multiserver queueing model with infinite buffer

This paper presents a time-dependent solution for the system-content distribution of the infinite buffer

G I / M / c

queue. The supplementary variable and the difference equation technique is used to obtain the probabilities in terms of Laplace transform. Some relevant performance measures are derived and extensive numerical results are presented. It covers a comparison of the impact of heavy-tailed and light-tailed interarrival time distributions on the transient behavior of the system and the underlying system characteristics.

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来源期刊

Operations Research Letters 管理科学-运筹学与管理科学

CiteScore

2.10

自引率

9.10%

发文量

111

审稿时长

83 days

期刊介绍： Operations Research Letters is committed to the rapid review and fast publication of short articles on all aspects of operations research and analytics. Apart from a limitation to eight journal pages, quality, originality, relevance and clarity are the only criteria for selecting the papers to be published. ORL covers the broad field of optimization, stochastic models and game theory. Specific areas of interest include networks, routing, location, queueing, scheduling, inventory, reliability, and financial engineering. We wish to explore interfaces with other fields such as life sciences and health care, artificial intelligence and machine learning, energy distribution, and computational social sciences and humanities. Our traditional strength is in methodology, including theory, modelling, algorithms and computational studies. We also welcome novel applications and concise literature reviews.