| 非对称周期查询限定服务系统解析 |
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| 引用本文： | 李俊生,彭兵,赵东风. 非对称周期查询限定服务系统解析[J]. 电子学报, 2001, 29(4): 503-505 |
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| 作者姓名： | 李俊生 彭兵 赵东风 |
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| 作者单位： | 1. 云南省蒙自师范专科学校计算机科学与技术系,蒙自 661100;2. 云南大学信息与电子科学系,昆明 650091 |
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| 基金项目： | 国家自然科学基金资助! (No.69862 0 0 2 )，云南省教委科研基金! (No .0 0 1 1 0 4 9) |
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| 摘 要： | 本文利用嵌入马尔可夫链理论和概率母函数的方法,对局域网络中离散时间状态下,有限缓冲器的非对称周期查询限定(k=1)服务系统 ∑ N i Gi/ ∑ N i Gi/1( ∑ N i Gi)/ ∑ N i Si(FCFS)模型进行了解析,获得了系统第i队列的查询周期、信息分组平均队长、信息分组平均延时和信息分组丢失率的数学解析表达式.计算机模拟的结果表明了仿真与理论的一致性.
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| 关 键 词： | 非对称周期查询 概率母函数 队长 延时 丢失率 |
| 文章编号： | 0372-2112 (2001) 04-0503-03 |
| 收稿时间： | 1999-11-12 |
Analysis of the Asymmetric Cyclic Polling System with Limited Service |
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| LI Jun-sheng,PENG Bing,ZHAO Dong-feng. Analysis of the Asymmetric Cyclic Polling System with Limited Service[J]. Acta Electronica Sinica, 2001, 29(4): 503-505 |
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| Authors: | LI Jun-sheng PENG Bing ZHAO Dong-feng |
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| Affiliation: | 1. Mengzi Junior College Level Normal School,Mengzi,Yunnan 661100,China;2. Department of Information and Electronics Science,Yunnan University,Kunming 650091,China |
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| Abstract: | A new queueing model ∑ N i Gi/ ∑ N i Gi/1( ∑ N i Gi)/ ∑ N i Si(FCFS) is set up for the support of an asymmetric polling model with limited (k=1) service in discrete time,and with limited buffers in LAN(Local area network).According to the embedded Markov chain theory and the generating function,a mathematical analysis has been developed in this paper.The mean polling cycle,the mean values of queue length,the mean delay,and the packet loss rate of the polling system are explicitly obtained.The results of computer simulation are in concordance with the theoretical analysis. |
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| Keywords: | asymmetric cyclic polling probability generating function queue length delay time loss rate |
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