| 一类N-策略 M/G/1排队系统队长分布 |
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| 引用本文： | 刘晓燕,孙玺菁,刘丹.一类N-策略 M/G/1排队系统队长分布[J].海军航空工程学院学报,2013,28(2):213-216. |
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| 作者姓名： | 刘晓燕 孙玺菁 刘丹 |
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| 作者单位： | 海军航空工程学院系统科学与数学研究所,山东烟台264001 |
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| 摘 要： | 引入一种新的分析方法，研究了一类具有启动／关闭时间的N-策略的M／G／1排队系统的队长分布。首先，使用随机分解技术导出了系统的队长分布的概率母函数；再根据Leibniz公式结合随机分解结果直接得到附加队长分布，进一步得到该排队系统队长分布的表达式；最后，举例说明队长分布表达式的分析应用。
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| 关 键 词： | N-策略 随机分解 排队系统 队长分布 分布表达式 |
The Queue Length Distribution of Queueing System under N-Policy |
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| LIU Xiao-yan,SUN Xi-jing and LIU Dan.The Queue Length Distribution of Queueing System under N-Policy[J].Journal of Naval Aeronautical Engineering Institute,2013,28(2):213-216. |
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| Authors: | LIU Xiao-yan SUN Xi-jing and LIU Dan |
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| Institution: | (Institute of Systems Science and Mathematics, NAAU, Yantai Shandong 264001, China) |
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| Abstract: | In this paper, a new method was developedfor calculating the queue length distribution on one M/G/I queueing system under N-policy with general startup/closedown. Firstly, the stochastic decomposition property was used to derive the p.g.f, of the queue length distribution. By the Leibniz formula of derivation, the addition- al queue length distribution was investigated, and then, the expression of queue length distribution was derived. Finally, an example was given for illustrating the application of the expression. |
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| Keywords: | N-policy stochastic decomposition queueing system queue length distribution distribution formula |
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