Asymptotic property of the time-dependent solution of the M/G/1 queueing model with single working vacation and vacation interruption

Ehmet Kasim; Geni Gupur

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Asymptotic property of the time-dependent solution of the M/G/1 queueing model with single working vacation and vacation interruption

机译：单个工作度假和假期中断的M / G / 1排队模型的时间依赖性解决方案的渐近性

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摘要

In this paper we consider an M/G/1 queueing model with single working vacation and vacation interruption. By studying the spectral properties of the corresponding operator we obtain that the time-dependent solution of the model strongly converges to its steady-state solution.

机译：在本文中，我们考虑了一个具有单个工作度假和假期中断的M / G / 1排队模型。通过研究相应操作员的光谱特性，我们获得模型的时间依赖性解决方案强烈收敛于其稳态解决方案。

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来源
《Afrika matematika》 |2017年第8期|共22页
作者
Ehmet Kasim; Geni Gupur;
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作者单位

College of Mathematics and Systems Science Xinjiang University Urumqi 830046 People's Republic of China;

College of Mathematics and Systems Science Xinjiang University Urumqi 830046 People's Republic of China;

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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 single working vacation and vacation interruption; C_0-semigroup; Eigenvalue; Resolvent set;

机译：m / g / 1排队模型;单个工作假期和休假中断;c_0-semigroup;特征值;解决方案集;

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专利

1. Asymptotic property of the time-dependent solution of the M/G/1 queueing model with single working vacation and vacation interruption [J] . Ehmet Kasim, Geni Gupur Afrika matematika . 2017,第7a8期

机译：单个工作度假和假期中断的M / G / 1排队模型的时间依赖性解决方案的渐近性
2. Analysis of an M/G/1 feedback retrial queue with unreliable server, non-persistent customers, single working vacation and vacation interruption [J] . P. Rajadurai, M. C. Saravanarajan, V. M. Chandrasekaran International Journal of Services and Operations Management . 2016,第2期

机译：具有不可靠服务器，非持久性客户，单个工作休假和休假中断的M / G / 1反馈重试队列分析
3. A note on the sojourn time distribution of an M/G/1 queue with a single working vacation and vacation interruption [J] . Doo Ho Lee, Bo Keun Kim Operations Research Perspectives . 2015,第1期

机译：关于具有单个工作休假和休假中断的M / G / 1队列的停留时间分布的注释
4. Queuing model using sojourn time distribution with single working vacation and vacation interruption [C] . Elis Hertini, Chery Harisbaya, Julita Nahar IORA International Conference on Operations Research . 2019

机译：排队模型使用单一工作度假和假期中断使用Sojourn时间分配
5. Modeling an M/M/1 Queue with Unreliable Service and a Working Vacation [D] . ?Patterson, Joshua K. 2019

机译：建模的 M / M / 1排队不可靠的服务和一个工作休假
6. Finite Buffer GI/M(n)/1 Queue with Bernoulli-Schedule Vacation Interruption under N-Policy [O] . P. Vijaya Laxmi, V. Suchitra 2014

机译：N策略下带有Bernoulli-Schedule假期中断的有限缓冲区GI / M（n）/ 1队列
7. A note on the sojourn time distribution of an M/G/1 queue with a single working vacation and vacation interruption [O] . Doo Ho Lee, Bo Keun Kim 2015

机译：关于m / G / 1队列的逗留时间分布的说明，该队列具有单个工作休假和休假中断

Asymptotic property of the time-dependent solution of the M/G/1 queueing model with single working vacation and vacation interruption

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