On existence and asymptotic behavior of the time-dependent solution of the M/G/1 queueing model with optional deterministic server vacations

首页> 外文期刊>Afrika matematika >On existence and asymptotic behavior of the time-dependent solution of the M/G/1 queueing model with optional deterministic server vacations

【24h】

On existence and asymptotic behavior of the time-dependent solution of the M/G/1 queueing model with optional deterministic server vacations

机译：关于可选确定性服务器假期的M / G / 1排队模型时间依赖性解决方案的存在与渐近行为

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

In this paper, we consider the M/G/1 queueing model with optional deterministic server vacations. Firstly, we convert the system into an abstract Cauchy problem, then we prove well-posedenss of the system by using the operator semigroup methods. Next, we investigate asymptotic behavior of its time-dependent solution by studying spectral properties of the corresponding operator. Therefore, we conclude that the time-dependent solution of the model strongly converges to its steady-state solution.

机译：在本文中，我们考虑了具有可选确定性服务器假期的M / G / 1排队模型。首先，我们将系统转换为抽象的Cauchy问题，然后我们通过使用操作员半群方法证明了系统的好处。接下来，我们通过研究相应操作员的光谱特性来研究其时间依赖性解决方案的渐近行为。因此，我们得出结论，模型的时间依赖性解决方案强烈收敛于其稳态解决方案。

著录项

来源
《Afrika matematika》 |2020年第4期|共31页
作者

展开▼
作者单位

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类数学;
关键词
M/G/1 queueing model with optional deterministic server vacations; C-0-semigroup; Dispersive operator; Resolvent set; Eigenvalue;

机译：M / G / 1排队模型具有可选的确定性服务器假期;C-0-Semigroup;分散操作员;解决方案集;特征值;

相似文献

外文文献
中文文献
专利

1. On existence and asymptotic behavior of the time-dependent solution of the M/G/1 queueing model with optional deterministic server vacations [J] . Afrika matematika . 2020,第3a4期

机译：关于可选确定性服务器假期的M / G / 1排队模型时间依赖性解决方案的存在与渐近行为
2. On a single server queue with optional phase type server vacations based on exhaustive deterministic service and a single vacation policy [J] . Madan KC., Abu Al-Rub AZ. Applied mathematics and computation . 2004,第3期

机译：在具有可选阶段类型服务器休假的单个服务器队列上，该休假基于详尽的确定性服务和单个休假策略
3. Analysis of a non-Markovian single server batch arrival queueing system of compulsory three stages of services with fourth optional stage service, service interruptions and deterministic server vacations [J] . P. Vignesh, S. Srinivasan, S. Maragatha Sundari International Journal of Operational Research . 2019,第1期

机译：第四个可选阶段服务，服务中断和确定性服务器假期的强制三个阶段的非马洛维亚单服务器批量到达排队系统分析
4. Time dependent solution of two stages M~X/G/1 queue model server vacation random setup time and balking with Bernoulli schedule [C] . S. Shyamala, R. Vijayaraj International Conference on Advances in Applicable Mathematics . 2020

机译：两个阶段的时间依赖性解决方案M〜x / g / 1队列模型服务器假期随机设置时间和与Bernoulli计划的废物
5. Global Existence and Asymptotic Behavior of the Solutions to Models for Chemotaxis Systems with Chemo Attractants and Repellents [D] . Lagha, Aesha. 2020

机译：用化疗和呼吸器的趋化性系统模型解决方案的全球存在和渐近行为
6. Existence and asymptotic behavior of solutions for nonlinear Schrödinger-Poisson systems with steep potential well [O] . Miao Du, a), Lixin Tian, -1

机译：具有陡势阱的非线性Schrödinger-Poisson系统解的存在性和渐近性
7. Bernoulli vacation model for MX/G/1 unreliable server retrial queue with bernoulli feedback, balking and optional service [O] . Madhu Jain, Sandeep Kaur 2021

机译：MX / G / 1不可靠服务器的伯努利度假型号与Bernoulli反馈，Balking和可选服务的反馈队列

On existence and asymptotic behavior of the time-dependent solution of the M/G/1 queueing model with optional deterministic server vacations

摘要

著录项

相似文献

相关主题

期刊订阅