| Bernoulli反馈排队的N策略Geom／G／1排队系统的队长分布 |
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| 引用本文： | 刘名武,马永开.Bernoulli反馈排队的N策略Geom／G／1排队系统的队长分布[J].系统工程,2008,26(12):103-109. |
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| 作者姓名： | 刘名武 马永开 |
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| 作者单位： | 电子科技大学,经济与管理学院,四川,成都,610054 |
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| 基金项目： | 教育部新世纪优秀人才支持计划 |
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| 摘 要： | 考虑具有Bernoulli反馈排队和N策略体假的离散时间Geom/G/1排队系统,采用一种直观、简洁的全概率分解方法以及U-变换技术,研究了该排队系统队长的瞬态性质,得到队长瞬态分布的U-变换形式的递推表达式;进一步导出队长稳态分布的递推表达以及平稳队长分布的随机分解;最后,计算出稳态队长分布,并且考察了其统计性质.
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| 关 键 词： | Bernoulli反馈排队 N策略 全概率分解技术 U-变换 队长分布 |
The Distributions of Queue-length for Geom/G/1 under N-policy with Bernoulli Feedback Queue |
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| LIU Ming-wu,MA Yong-kai.The Distributions of Queue-length for Geom/G/1 under N-policy with Bernoulli Feedback Queue[J].Systems Engineering,2008,26(12):103-109. |
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| Authors: | LIU Ming-wu MA Yong-kai |
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| Institution: | LIU Ming-wu,MA Yong-kai (School of Management , Economics,University of Electronic Science , Technology of China,Chengdu 610054,China) |
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| Abstract: | This paper considers the discrete-time Geom/G/1 queue under N-policy vacation with Bernoulli feedback queue in which service time follows arbitrary discrete distribution.By using an intuitive and concise total probability decomposition method and U-tansformation technique,we study the recursion expression of the U-transformation of the transient queue-length distribution at any time,and obtain the expressions of the distribution and stochastic decomposition of the queue-length at a random point in equilibri... |
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| Keywords: | Bernoulli Feedback Queue N-policy Total Probability Decomposition Technique U-transformation Distributions of Queue-length |
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