| The Recursive Solution for Geom/G/1（E,SV） queue with Feedback and Single Server Vacation |
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| 引用本文： | Chuan-yi Lu,Ying-hui Tang. The Recursive Solution for Geom/G/1（E,SV） queue with Feedback and Single Server Vacation[J]. 应用数学学报(英文版), 2011, 27(1): 155-166. DOI: 10.1007/s10255-011-0049-y |
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| 作者姓名： | Chuan-yi Lu Ying-hui Tang |
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| 作者单位： | [1]School of Economic Mathematics, Southwestern University of Finance and Economics, Chengdu 610074, China [2]School of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, China |
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| 基金项目： | Supported by the National Natural Science Foundation of China (No.70871084); Scientific Research Fund of Southwestern University of Finance and Economics; the Specialized Research Fund for the Doctoral Program of Higher Education of China (No.200806360001) |
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| 摘 要： | Using recursive method,this paper studies the queue size properties at any epoch n + in Geom/G/1(E,SV) queueing model with feedback under LASDA (late arrival system with delayed access) setup.Some new results about the recursive expressions of queue size distribution at different epoch (n+,n,n-) are obtained.Furthermore the important relations between stationary queue size distribution at different epochs are discovered.The results are different from the relations given in M/G/1 queueing system.The model discussed in this paper can be widely applied in many kinds of communications and computer network.
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| 关 键 词： | 反馈模型 休假排队 递归 M/G/1排队系统 SV 服务器 计算机网络 大小分布 |
The recursive solution for Geom/G/1(E,SV) queue with feedback and single server vacation |
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| Chuan-yi Luo,Ying-hui Tang. The recursive solution for Geom/G/1(E,SV) queue with feedback and single server vacation[J]. Acta Mathematicae Applicatae Sinica, 2011, 27(1): 155-166. DOI: 10.1007/s10255-011-0049-y |
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| Authors: | Chuan-yi Luo Ying-hui Tang |
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| Affiliation: | Chuan-yi Luo 1,Ying-hui Tang 2 1 School of Economic Mathematics,Southwestern University of Finance and Economics,Chengdu 610074,China 2 School of Mathematics and Software Science,Sichuan Normal University,Chengdu 610066,China |
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| Abstract: | Using recursive method, this paper studies the queue size properties at any epoch n + in Geom/G/1(E, SV) queueing model with feedback under LASDA (late arrival system with delayed access) setup. Some new results about the recursive expressions of queue size distribution at different epoch (n +, n, n −) are obtained. Furthermore the important relations between stationary queue size distribution at different epochs are discovered. The results are different from the relations given in M/G/1 queueing system. The model discussed in this paper can be widely applied in many kinds of communications and computer network. |
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| Keywords: | Discrete time queue feedback single server vacation recursive expression |
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