| GI~X/M~b/1/N排队系统 |
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| 引用本文： | 易颖,尹小玲.GI~X/M~b/1/N排队系统[J].应用数学与计算数学学报,2008,22(2). |
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| 作者姓名： | 易颖 尹小玲 |
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| 作者单位： | 1. 广州中医药大学经济与管理学院,广州,510006
2. 中山大学统计科学系,广州,510275 |
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| 摘 要： | 本文主要研究了顾客一般独立批到达、指数批服务、缓冲器容量有限的单个服务器的排队系统，本文首先使用补充变量和嵌入马氏链的方法，在部分拒绝和全部拒绝情形下，得到系统排队队长的稳态分布，进而得到相应的性能指标，如系统的平均排队长、平均等待时间、损失概率等．其次对等待时间进行了分析．
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| 关 键 词： | 批到达 批服务 缓冲器容量有限 补充变量法 嵌入马氏链 部分拒绝 全部拒绝 |
The GI~X/M~b/1/N Queueing System |
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| Yi Ying,Yin Xiaoling.The GI~X/M~b/1/N Queueing System[J].Communication on Applied Mathematics and Computation,2008,22(2). |
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| Authors: | Yi Ying Yin Xiaoling |
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| Affiliation: | Yi Ying~1 Yin Xiaoling~2 Guangzhou University of Traditional Chinese Medicine,Guangzhou 510006,China Statistical Science Department of Sun Yat-sen University,Guangzhou 510275,China |
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| Abstract: | In this paper,we study the general independent bulk arrivals,exponentially bulk service,and finite buffer size queueing system with partial rejection and the total rejection.The supplementary variable and the embedded Markov chain are used. And the probability distributions of the system queueing length are obtained.Therefore the performance measures such as the average queueing length,the average waiting time and the blocking probabilities are obtained.Furthermore,we discuss the waiting time of the first c... |
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| Keywords: | bulk arrival bulk service supplementary variable embedded Markov chain |
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