Asymptotic analysis of the sojourn time of a batch in a M[X]/M/1 processor sharing queue

IF 0.5 4区数学 Q4 STATISTICS & PROBABILITY

Stochastic Models Pub Date : 2024-03-05 DOI:10.1080/15326349.2024.2317210

Fabrice Guillemin, Alain Simonian, Ridha Nasri, Veronica Quintuna Rodriguez

引用次数: 0

Abstract

In this article, we exploit recent results for the Laplace transform of the sojourn time Ω of an entire batch in the M[X]/M/1 processor sharing queue in order to derive the asymptotic behavior of t...

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M[X]/M/1 处理器共享队列中批次停留时间的渐近分析

在这篇文章中，我们利用M[X]/M/1处理器共享队列中整个批次的停留时间Ω的拉普拉斯变换的最新结果，以推导出t...

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

Stochastic Models 数学-统计学与概率论

CiteScore

1.30

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： Stochastic Models publishes papers discussing the theory and applications of probability as they arise in the modeling of phenomena in the natural sciences, social sciences and technology. It presents novel contributions to mathematical theory, using structural, analytical, algorithmic or experimental approaches. In an interdisciplinary context, it discusses practical applications of stochastic models to diverse areas such as biology, computer science, telecommunications modeling, inventories and dams, reliability, storage, queueing theory, mathematical finance and operations research.