| 具有一阶离散自回归到达和服务器中断的离散时间排队系统分析 |
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| 引用本文： | 周文慧,郑茜. 具有一阶离散自回归到达和服务器中断的离散时间排队系统分析[J]. 运筹学学报, 2009, 13(2) |
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| 作者姓名： | 周文慧 郑茜 |
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| 作者单位： | 1. 华南理工大学工商管理学院,广州,510640
2. 华南理工大学政治与公共管理学院,广州,510640 |
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| 基金项目： | 国家自然科学基金，General Fund about Humanities and Social Science of Ministry of EdUCation |
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| 摘 要： | 研究一类到达服从一阶离散自回归过程,服务器有可能中断的离散排队系统.着重考虑在到达流具有相关性的情况下,排队系统的性能表现.文章通过概率母函数的方法,得到了系统队长的概率母函数,并由此导出系统平均队长.最后通过数值实验可以看出系统的性能对到达过程的相关性非常敏感.
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| 关 键 词： | 运筹学 离散排队系统 阶离散自回归到达 服务器中断 |
Performance Analysis of a Discrete-Time Queue with DAR(1) Arrival and Server Interruption |
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| Zhou Wenhui,Zheng Qian. Performance Analysis of a Discrete-Time Queue with DAR(1) Arrival and Server Interruption[J]. OR Transactions, 2009, 13(2) |
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| Authors: | Zhou Wenhui Zheng Qian |
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| Abstract: | This paper considers a discrete-time queue with discrete autoregressive process of order 1 (DAR(l)) and server interruption. Close-form expressions for the probability generating function and mean queue length are derived. Finally, some numerical results are given and it is shown that the system performance is quite sensitive to the correlation of the arrival process. |
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| Keywords: | Operations research discrete-time queue discrete autoregressive arrivals server interruption |
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