限制总队列规模的两阶段队列系统的瞬态行为

IF 0.6 4区 计算机科学 Q4 AUTOMATION & CONTROL SYSTEMS Automation and Remote Control Pub Date : 2024-06-26 DOI:10.1134/s0005117924010077
V. M. Vishnevsky, K. A. Vytovtov, E. A. Barabanova
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引用次数: 0

摘要

摘要 研究了一个两阶段排队系统的瞬态模式,该系统具有泊松输入流、各阶段服务时间的指数分布以及对两阶段总缓冲区大小的限制。利用拉普拉斯变换找到了系统状态的非稳态概率。对瞬态模式下的系统性能特征进行了数值计算和分析,并给出了与新一代光网络相对应的参数。
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 Behavior of a Two-Phase Queuing System with a Limitation on the Total Queue Size

Abstract

The transient mode of a two-phase queuing system with a Poisson input flow, exponential distribution of service time in each phase, and a limitation on the total buffer size of the two phases is considered. Nonstationary probabilities of system states are found using the Laplace transform. A numerical calculation and analysis of the system performance characteristics in transient mode with parameters corresponding to new-generation optical networks were carried out.

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来源期刊
Automation and Remote Control
Automation and Remote Control 工程技术-仪器仪表
CiteScore
1.70
自引率
28.60%
发文量
90
审稿时长
3-8 weeks
期刊介绍: Automation and Remote Control is one of the first journals on control theory. The scope of the journal is control theory problems and applications. The journal publishes reviews, original articles, and short communications (deterministic, stochastic, adaptive, and robust formulations) and its applications (computer control, components and instruments, process control, social and economy control, etc.).
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