How to measure the accuracy of the subexponential approximation for the stationary single server queue

Dmitry Korshunov

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How to measure the accuracy of the subexponential approximation for the stationary single server queue

机译：如何测量固定单服务器队列次指数逼近的准确性

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摘要

We discuss the problem of establishing an upper bound for the distribution tail of the stationary waiting time D in the GI/GI/1 FCFS queue.

机译：我们讨论了在GI / GI / 1 FCFS队列中为固定等待时间D的分布尾确定上限的问题。

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来源
《Queueing systems》 |2011年第4期|p.261-266|共6页
作者
Dmitry Korshunov;
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作者单位

Sobolev Institute of Mathematics, Novosibirsk 630090, Russia;

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原文格式 PDF
正文语种 eng
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关键词
fcfs single server queue; stationary waiting time; heavy tails; large deviations; long tailed distribution; subexponential distribution; integrated tail distribution; accuracy of approximation; lower and upper bounds;

机译：fcfs单服务器队列;固定的等待时间;粗尾巴偏差大;长尾分布;次指数分布综合尾翼分布;近似精度;上下限;

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专利

1. On the subexponential properties in stationary single-server queues: A Palm-martingale approach [J] . Miyoshi N Advances in applied probability . 2004,第3期

机译：关于固定单服务器队列中的次指数属性：Palm-martingale方法
2. An approximation for performance evaluation of stationary single server queues [J] . Addie R.G., Zukerman M. IEEE Transactions on Communications . 1994,第12期

机译：固定单个服务器队列的性能评估的近似值
3. ASYMPTOTIC APPROXIMATIONS FOR STATIONARY DISTRIBUTIONS OF MANY-SERVER QUEUES WITH ABANDONMENT [J] . Weining Kang, Kavita Ramanan The Annals of applied probability: an official journal of the Institute of Mathematical Statistics . 2012,第2期

机译：带约束的多服务器队列的平稳分布的渐近逼近
4. An approximation for performance evaluation of stationary single server queues [C] . Addie, R.G., Zukerman, . 1993

机译：固定单个服务器队列的性能评估的近似值
5. On the use of quasi-stationary distributions in monitoring a single server queue. [D] . Chandramouli, Yegnanarayanan. 1988

机译：在监控单个服务器队列中使用准平稳分布。
6. Padé Approximation of a Stationary Single-Channel Ca2+ Nanodomain [O] . V. Matveev 2016

机译：固定单通道Ca2 +纳米域的Padé逼近
7. How to measure the accuracy of the subexponential approximation for the stationary single server queue [O] . Dmitry Korshunov 2012

机译：如何测量固定单服务器队列次指数逼近的准确性

How to measure the accuracy of the subexponential approximation for the stationary single server queue

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