| 离散时间多重休假的Geom<em>x/G/1 排队系统的队长分布 |
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| 引用本文： | 唐应辉,黄蜀娟,云曦. 离散时间多重休假的Geom<em>x/G/1 排队系统的队长分布[J]. 电子学报, 2009, 37(7): 1407-1411 |
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| 作者姓名： | 唐应辉 黄蜀娟 云曦 |
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| 作者单位： | 1. 四川师范大学数学与软件科学学院,四川成都 610066;2. 电子科技大学应用数学学院,四川成都 610054 |
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| 基金项目： | 国家自然科学基金(No.70871084);;教育部高校博士点专项基金(No.200806360001) |
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| 摘 要： | 近几年来,由于在制造系统与电讯交换系统的设计和控制中和在计算机通信网络的模型刻画和分析中的广泛应用,使得离散时间排队系统受到越来越多的注意.本文考虑离散时间多重休假成批到达的Geom/G/1排队系统,从任意初始状态出发,使用全概率分解技术和u-变换,研究了队长的瞬态性质和稳态性质,首次导出了队长瞬态分布的u-变换形式的递推表达式和队长稳态分布的递推表达式,进一步也获得稳态队长的随机分解结果.特别地,通过本文可直接获得一系列特殊离散时间排队系统相应的结果.
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| 关 键 词： | 离散时间排队 成批到达 Geom/G/1 瞬态分布 稳态分布 递推表达式 |
| 收稿时间： | 2007-10-08 |
Queue-Length Distribution for Discrete Time Geom/G/1 Queue with Multiple Vacatioms and Bulk Arrival |
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| TANG Ying-hui,HUANG Shu-juan,YUN Xi. Queue-Length Distribution for Discrete Time Geom/G/1 Queue with Multiple Vacatioms and Bulk Arrival[J]. Acta Electronica Sinica, 2009, 37(7): 1407-1411 |
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| Authors: | TANG Ying-hui HUANG Shu-juan YUN Xi |
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| Affiliation: | 1. School of Mathematics & Software Science,Sichuan Normal University,Chengdu,Sichuan 610066,China;2. School of Applied Mathematics,University of Electronic Science & Technology of China,Chengdu,Sichuan 610054,China |
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| Abstract: | Recent years,discrete time queueing systems have been receiving attention due to their wide applications in design and control of manufacturing and teleconmunication systems,and in modeling and analyzing of computer communication networks.In this paper we consider the discrete time Geom/G/1 queue with multiple vacations and bulk arrival.By using the total probability decomposition technique and u-transform,we discuss the transient and equilibrium distributions of the queue length with the beginning of the a... |
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| Keywords: | discrete time queue bulk arrival Geom/G/1 transient distribution steady distribution recursion expression |
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