| 具有延误休假时间的排队系统队长分布 |
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| 引用本文： | 刘晓燕,吴艳果.具有延误休假时间的排队系统队长分布[J].数学学习,2010,13(4):87-90. |
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| 作者姓名： | 刘晓燕 吴艳果 |
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| 作者单位： | [1]海军航空工程学院,山东烟台264001 [2]南阳师范学院数学与统计学院,河南南阳473061 |
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| 基金项目： | 南阳师范学院校级科研基金资助项目 |
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| 摘 要： | 考虑具延误休假时间的N-策略M／G／1／∞排队系统，研究队长的瞬态和稳态性质．通过引进“服务员忙期”和使用全概率分解技术，导出在任意时刻t瞬态队长分布的L变换的递推表达式和稳态队长分布的递推表达式，以及平稳队长的随机分解．
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| 关 键 词： | M/G/1排队 N-策略 队长分布 随机分解 全概率分解技术 |
The Queue-Length Distribution of The Queue with Delay Server Vacations |
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| LIU Xiao Yan,WU Yan Guo.The Queue-Length Distribution of The Queue with Delay Server Vacations[J].Studies In College Mathematics,2010,13(4):87-90. |
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| Authors: | LIU Xiao Yan WU Yan Guo |
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| Institution: | 1. Naval Aeronautical Engineering Institute, Yantai, Shangdong 264001 ,PRC;2. Nanyang Normal University of Mathematics and Statistics, Nanyang, Henan 473061, PRC) |
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| Abstract: | For the M/G/1 queue with N-policy and delay server vacation, the transient and equilibrious properties of the queue length are posted up. With the concept of server busy period and the technique of total probability decomposition, the recursive expression of the L-transformation of the transient queue length distribution at any time t, the recursive expression of the equilibrious queue length distribution, and the stochastic decomposition of the queue length at a random point in equilibrium are concluded. |
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| Keywords: | M/G/1 queue N-policy queue-length distribution stochastic decomposition total probability decomposition technique |
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